The maximum speed is 62.8 cm/s.
We can start by finding the frequency of the oscillation:
f = (25 oscillations) / (10 s) = 2.5 HzThen, we can use the formula for the displacement of an object in simple harmonic motion:
x = A sin(2πft)Where x is the displacement (in meters), A is the amplitude (in meters), f is the frequency (in Hz), and t is the time (in seconds).
We are given that the displacement is 10.0 cm = 0.1 m, and we know that the amplitude is half of the total displacement (since the ruler moves symmetrically around its equilibrium position), so:
A = 0.1 m / 2 = 0.05 mUsing this information, we can find the maximum speed by taking the derivative of the displacement equation:
v = 2πfA cos(2πft)At the point of maximum displacement (when sin(2πft) = 1), the speed is:
vmax = 2πfA = 2π(2.5 Hz)(0.05 m) = 0.628 m/s = 62.8 cm/s (to one decimal point).
To learn more about harmonic motion, here
https://brainly.com/question/30404816
#SPJ4
Two forces are acting on an object, but the net force on the object in 0n. For the net force to be 0n, all the forces acting on the object must cancel each other out. What must must be true for the two forces acting on the object to cancel each other out?
Answer:
Explanation:
THE SUMMATION OF MOMENT OF FORCES=0
one food calorie is equal to 4184 j. when you workout to burn off calories your system is only 25 % efficient and 75% of the energy used is converted to heat. the good news is that you only have to perform 1000 j of work to burn off one calorie. suppose that you drink a small can of pepsi that has a food value of 150 calories, and you want to burn off the calories by lifting a sack of 100 small apples, which has a total weight of 100 newtons, one meter. how many times would you have to lift the sack one meter to accomplish this?
To burn off the calories from the small can of Pepsi, you would need to lift the sack of apples 25,104 times one meter .
Given:
- 1 food calorie = 4,184 joules
- Your system is 25% efficient in performing work
- 1,000 joules of work = 1 calorie burned
- Small can of Pepsi = 150 calories
- Sack of apples weight = 100 newtons
- Lifting height = 1 meter
First, let's find out how many joules are in the 150-calorie can of Pepsi:
150 calories * 4,184 joules/calorie = 627,600 joules
Next, we need to determine how many joules of work are required to burn off these calories, considering the 25% efficiency:
627,600 joules / 0.25 = 2,510,400 joules
Now we know that to burn off the 150 calories, you need to perform 2,510,400 joules of work. Since 1,000 joules of work burn off 1 calorie, let's find out how many times you need to lift the sack to accomplish this:
Work performed per lift = weight * height = 100 newtons * 1 meter = 100 joules
Finally, divide the total work required by the work performed per lift:
2,510,400 joules / 100 joules/lift = 25,104 lifts
So, you would need to lift the sack of apples 25,104 times one meter to burn off the calories from the small can of Pepsi.
More on calories: https://brainly.com/question/454353
#SPJ11
what happens to the gravitional force between two obejcts as the bodies become farther apart from each other
As two objects move farther apart from each other, the gravitational force between them decreases. This is because gravity is an inverse square law, meaning that the strength of the force is proportional to the inverse square of the distance between the objects.
Mathematically, the gravitational force between two objects is given by the equation: F = G × [tex]\frac{m_{1} . m_{2}}{r^{2}}[/tex], where F is the gravitational force between the two objects, G is the gravitational constant, m1, and m2 are the masses of the two objects, and r is the distance between them. As r increases, the denominator of the equation (r²) increases, which causes the gravitational force to decrease. This relationship is important for understanding the behavior of celestial bodies in space, such as planets orbiting around a star.
Learn more about gravitational force: https://brainly.com/question/72250
#SPJ11
calculate the energy in joules released by the fusion of a 2.25 -kg mixture of deuterium and tritium, which produces helium. there are equal numbers of deuterium and tritium nuclei in the mixture.
The energy released by the fusion of a 2.25-kg mixture of deuterium and tritium, which produces helium, is approximately [tex]2.821 * 10^{-13} J.[/tex]
The energy released by the fusion of a mixture of deuterium and tritium into helium can be calculated using the formula:
[tex]E = \Delta m \cdot c^2[/tex]
where E is the energy released, Δm is the change in mass during the fusion process, and c is the speed of light (approximately [tex]3.00 * 10^8 m/s[/tex]).
The change in mass Δm can be calculated using the difference between the mass of the reactants and the mass of the products:
[tex]\Delta m = (2 \cdot m_d + 3 \cdot m_t) - 4 \cdot m_h[/tex]
where [tex]m_d[/tex] is the mass of a deuterium nucleus (2.0141 u), [tex]m_t[/tex]is the mass of a tritium nucleus (3.0160 u), and [tex]m_h[/tex] is the mass of a helium nucleus (4.0026 u).
The mass of a nucleus in atomic mass units (u) can be converted to kilograms using the conversion factor [tex]1.66 * 10^{-27} kg/u.[/tex]
Substituting the values and simplifying, we get:
[tex]\Delta m = (2 \cdot 2.0141 \, \text{u} + 3 \cdot 3.0160 \, \text{u}) - 4 \cdot 4.0026 \, \text{u} = 0.0189 \, \text{u}[/tex]
Δm in kilograms is therefore:
[tex]\Delta m = 0.0189 \, \text{u} \cdot (1.66 \times 10^{-27} \, \text{kg/u}) = 3.134 \times 10^{-30} \, \text{kg}[/tex]
The energy released E can now be calculated:
[tex]E = \Delta m \cdot c^2 = 3.134 \times 10^{-30} \, \text{kg} \cdot (3.00 \times 10^8 \, \text{m/s})^2[/tex]
[tex]= 2.821 * 10^{-13} J[/tex]
Therefore, the energy released by the fusion of a 2.25-kg mixture of deuterium and tritium, which produces helium, is approximately [tex]2.821 * 10^{-13} J.[/tex]
For more such questions on energy , Visit:
https://brainly.com/question/13881533
#SPJ11
write an expression for the magnitude of the repulsive force required to keep the left balloon in this position.
The expression for the magnitude of the repulsive force can be written as:
F = k * (q1 * q2) / d^2
To calculate the magnitude of the repulsive force required to keep the left balloon in its current position, we need to consider the electrostatic forces acting between the two balloons.
The balloons are charged with opposite charges, and so they experience a force of repulsion. The magnitude of this force is given by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them. So,
Where F is the magnitude of the repulsive force, k is Coulomb's constant, q1 and q2 are the charges on the two balloons, and d is the distance between them. By plugging in the values of the charges and the distance between the balloons,
we can calculate the exact magnitude of the repulsive force required to keep the left balloon in its position.
To learn more about : magnitude
https://brainly.com/question/30337362
#SPJ11
a ______ energy transition state of hydrogen abstraction by chlorine leads to a ______ reaction compared to bromine.
A high-energy transition state of hydrogen abstraction by chlorine leads to a more exothermic reaction compared to bromine.
An exothermic reaction is a reaction in which energy is released in the form of light or heat. Thus in an exothermic reaction, energy is transferred into the surroundings rather than taking energy from the surroundings as in an endothermic reaction.
A higher energy transition state of hydrogen abstraction by chlorine leads to a faster reaction compared to bromine.
To learn more about Reactions -
brainly.com/question/14140167
#SPJ11
A higher energy transition state of hydrogen abstraction by chlorine leads to a slower reaction compared to bromine.
Explanation:
To learn more about Hydrogen Abstraction. Please Visit:
https://brainly.com/question/31537883
#SPJ11
a drawing, provided by the manufacturer, that details permitted interconnections between the intrinsically safe and associated apparatus or between the nonincendive field wiring apparatus or associated nonincendive field wiring apparatus is called a
The drawing provided by the manufacturer, which details the permitted interconnections between intrinsically safe and associated apparatus or between nonincendive field wiring apparatus or associated nonincendive field wiring apparatus, is called a wiring diagram.
A wiring diagram typically includes detailed information about the wiring connections between components, as well as any necessary safety measures such as grounding or shielding. It may also include information about the voltage, current, and power requirements of the system, as well as any limitations or restrictions on the use of particular components or configurations.
This diagram is a critical part of the installation and maintenance process for intrinsically safe and nonincendive electrical systems, as it helps ensure that the correct connections are made and that the system operates safely and effectively.
To learn more about diagram follow the link:
https://brainly.com/question/11729094
#SPJ4
The complete question is:
A drawing, provided by the manufacturer, that details permitted interconnections between the intrinsically safe and associated apparatus or between the nonincendive field wiring apparatus or associated nonincendive field wiring apparatus is called a ______________
a heavy person weighting 1000 n and a light person weighting 500 n jumping together with same-size parachutes from the same altitude. who will reach the ground first?
The heavy person will reach the ground first. This is because both individuals have the same parachute size, meaning they experience the same amount of air resistance. However, the heavy person has a greater weight (gravitational force) acting on them, which causes them to accelerate at a faster rate than the lighter person. As a result, the heavy person will reach the ground before the lighter person.
Explanation:
When both individuals jump out of a plane with their parachutes, they initially accelerate downwards at the same rate due to gravity. However, as they fall, they experience air resistance, which slows down their acceleration. The air resistance is proportional to their surface area, which is the same for both individuals since they have the same-size parachutes.Therefore, the heavier person will reach the ground before the lighter person, despite having the same-size parachute.
To learn more about Gravitational Force. Please Visit:
https://brainly.com/question/17986223
#SPJ11
5. The velocity of a particle in reference frame A is (2. 0iˆ+3. 0jˆ)m/s. The velocity of reference frame A with respect to reference frame B is 4. 0kˆ m/s, and the velocity of reference frame B with respect to C is 2. 0jˆm/s. What is the velocity of the particle in reference frame C?
The Velocity of particle C = 2.0iˆ - 2.0jˆ - 4.0kˆ m/s.
Velocity of A with respect to C = Velocity of A with respect to B + Velocity of B with respect to C
Velocity of A with respect to B = 4.0kˆ m/s,
Velocity of B with respect to C = 2.0jˆ m/s
Therefore, Velocity of A with respect to C = 4.0kˆ m/s + 2.0jˆ m/s
Velocity of particle C = Velocity of particle A - Velocity of A with respect to C
Velocity of particle A = 2.0iˆ + 3.0jˆ m/s
Velocity of A with respect to C = 4.0kˆ m/s + 2.0jˆ m/s
Therefore, Velocity of particle C = 2.0iˆ - 2.0jˆ - 4.0kˆ m/s.
To know more about Velocity, here
brainly.com/question/17127206
#SPJ4
019 (part 1 of 2) 10.0 points
A Carnot engine has a power output of
197 kW. The engine operates between two
reservoirs at 20◦C and 425◦C.
How much thermal energy is absorbed each
hour?
Answer in units of J.
020 (part 2 of 2) 10.0 points
How much thermal energy is lost per hour?
Answer in units of J.
Thermal energy is absorbed each hour is 13.53 x 10¹² J and thermal energy lost per hour is 7.092 x 10¹² J.
What is the Carnot engine's operating principle?a technique of isothermal gas expansion that is reversible. In this process, the ideal gas in the system receives amount heat from a heat source at a high temperature Thigh, expands and does work on surroundings. a technique of adiabatic gas expansion that is reversible. The system is thermally insulated throughout this process.
Temp_cold = 20°C + 273.15 = 293.15 K
Temp_hot = 425°C + 273.15 = 698.15 K
efficiency = 1 - (Temp_cold / Temp_hot)
= (698.15 K * 293.15 K) / (698.15 K)² - (293.15 K)²
efficiency = 0.524 or 52.4%
thermal energy absorbed/ hour = power output / efficiency
= 197 kW / 0.524
= 375.95 MJ/h x 3.6 x 10⁶ J/kWh = 13.53 x 10¹² J
thermal energy is lost per hour
W = power output x time = 197 kW x 1 h = 197 kWh
W = 197 kWh x 3.6 x 10⁶ J/kWh = 7.092 x 10¹²1J
Since the engine is running in a cycle, the system's internal energy is equal to zero, hence U = 0.
Q = ΔU + W
hence, thermal energy lost per hour = Q = W = 7.092 x 10^11 J
To know more about thermal energy visit:-
https://brainly.com/question/27359499
#SPJ1
a certain rifle bullet has a mass of 8.37 g. calculate the de broglie wavelength of the bullet traveling at 1793 miles per hour.
The de Broglie wavelength of the bullet traveling at 1793 miles per hour is approximately 9.90 x 10^-37 meters.
To calculate the de Broglie wavelength of the rifle bullet, we can use the formula:
λ = h / p
where λ is the de Broglie wavelength, h is the Planck constant (6.626 x 10^-34 J*s), and p is the momentum of the bullet. To find the momentum of the bullet, we can use the formula:
p = m * v
where m is the mass of the bullet (8.37 g = 0.00837 kg) and v is the velocity of the bullet in meters per second. First, we need to convert the velocity of the bullet from miles per hour to meters per second:
1793 miles/hour * 1609.34 meters/mile / 3600 seconds/hour = 800.1 meters/second
Now we can calculate the momentum of the bullet:
p = 0.00837 kg * 800.1 m/s = 6.703 k g m / s
Finally, we can use the momentum to calculate the de Broglie wavelength:
λ = 6.626 x 10^-34 J*s / 6.703 kg m/s = 9.90 x 10^-37 meters
Therefore, the de Broglie wavelength is approximately 9.90 x 10^-37 meters.
For more such questions on De Broglie wavelength.
https://brainly.com/question/11552854#
#SPJ11
A disk of radius R = 7. 52 cm is centered at the origin and lies along the y – z plane. The disk has a surface charge density σ = 5. 88 × 10 − 6 C / m 2. Evaluate the electric field produced by this disk along the x axis at point (P = 1. 01 m, 0. 00 m). The Coulomb force constant k = 1 / ( 4 π ϵ 0 ) = 8. 99 × 10 9 N ⋅ m 2 / C 2
The electric field produced by the disk at point P along the x-axis is approximately 333.89 N/C.
Since the disk lies in the y-z plane, the electric field produced by the disk will only have an x-component, which can be calculated using the formula for the electric field produced by a charged disk:
E = σ / (2ε₀) * [1 - (z / √(R² + z²))]
At point P(1.01 m, 0.00 m), the distance from the disk along the z-axis is z = 0, so the formula reduces to:
E = σ / (2ε₀) = (5.88 × 10^-6 C/m²) / (2 * 8.85 × 10^-12 F/m) ≈ 333.89 N/C
Therefore, the electric field produced by the disk is 333.89 N/C.
To know more about electric field , here
brainly.com/question/15800304
#SPJ4
the two-way is normally used as an off/on switch and to control
The two-way switch, also known as a two-way light switch, is a common type of electrical switch that is used to control the flow of electricity between two different points.
It is typically used in household and commercial settings to turn lights on and off from two different locations, such as at the top and bottom of a staircase.
The two-way switch works by allowing electricity to flow through one of two possible paths, depending on the position of the switch. When the switch is in the "on" position, electricity flows through one path and the light or other device connected to the switch is turned on. When the switch is in the "off" position, the electricity flows through a different path and the device is turned off.
In this way, the two-way switch functions both as an off/on switch and as a means of controlling the flow of electricity between two different points. Its versatility and ease of use make it a popular choice for a variety of electrical applications.
Learn more about electrical switch
https://brainly.com/question/29045327
#SPJ4
A typical sort of electrical switch used to regulate the flow of electricity between two separate places is the two-way switch, commonly referred to as a two-way light switch.
Lighting can be turned on and off from two different locations, such the top and bottom of a staircase, in both residential and commercial situations.
Depending on the switch's location, the two-way switch allows electricity to travel down one of two potential paths. Electricity goes through one path when the switch is in the "on" position, turning on any attached lights or other devices. The gadget is turned off when the switch is in the "off" position, where electricity travels along a different path.
In this manner, the two-way switch serves as an on/off switch as well as a mechanism to regulate the flow of energy between two various sites. Its It is a popular option for a range of electrical applications due to its adaptability and usability.
learn more about electrical switch here:
https://brainly.com/question/29045327
#SPJ11
Can someone pleaseeeee answer fast
Answer:
v = velocity
f = frequency
A = Wavelength
T = period
Explanation:
hope it helps
if you just dropped this cylinder without any string, how fast would its center be moving when it had fallen the distance in part a?
To answer your question about how fast the center of a cylinder would be moving after falling a certain distance without any string attached:
So, the center of the cylinder would be moving at a velocity of v = √(2ad) when it has fallen the distance in part a.
When an object is dropped from a height without any external forces acting on it other than gravity, it falls freely and accelerates due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2 on the Earth's surface.
To learn more about Gravity. Please Visit:
https://brainly.com/question/26832721
#SPJ11
If you view a rainbow out your window while riding in a train, you’ll see thatA) the rainbow can only be seen while you’re moving slowly or at rest.B) the rainbow moves along with you.C) you soon pass by it, leaving it where you first saw it.
A rainbow that you view via a train window while riding will follow you as you travel forward. The rainbow won't be visible for very long because it will appear to move with you as the train travels along its course.
This occurs as a result of the sun, precipitation, and your eyes' angle constantly shifting as the train travels, which also causes the rainbow's position to change.
The rainbow won't be visible for very long because it will appear to move with you as the train travels along its course. This phenomena also affects other moving objects and landscapes, such as mountains, trees, and buildings, in addition to rainbows.
Learn more about rainbow:
https://brainly.com/question/24555498
#SPJ4
A rainbow that you view via a train window while riding will follow you as you travel forward. The rainbow won't be visible for very long because it will appear to move with you as the train travels along its course.
explanation - If you view a rainbow out your window while riding in a train, you'll see that the rainbow moves along with you. As you move forward, the angle between the sun, your eyes, and the raindrops that create the rainbow changes, causing the rainbow to appear to move with you. However, if the train is moving too fast, you may soon pass by it, leaving it where you first saw it. therefore - its position appears relative to the viewer's location and angle of observation, hence option is B
to learn more about rainbow click on this -
brainly.com/question/24555498
#SPJ11
the spring of the pressure gauge shown in the figure below has a force constant of 1 500 n/m, and the piston has a diameter of 1.00 cm. as the gauge is lowered into water in a lake, what change in depth causes the piston to move in by 0.840 cm?
The gauge is lowered into the water in a lake, and a change of 16,020 Pa in-depth causes the piston to move in by 0.840 cm.
To answer this question, we need to use the formula for the force on the piston:
F = A * P
where F is the force on the piston, A is the area of the piston, and P is the pressure of the water on the piston.
Since the spring of the pressure gauge has a force constant of 1,500 N/m, we can use Hooke's Law to find the force on the spring:
F = k * x
where k is the force constant (1,500 N/m) and x is the displacement of the spring (0.840 cm).
Substituting this into our first equation, we get:
k * x = A * P
Solving for P, we get:
P = (k * x) / A
Now we just need to plug in the values given in the problem. The diameter of the piston is 1.00 cm, so the radius is 0.50 cm (or 0.005 m). The area of the piston is:
A = π * [tex]r^{2}[/tex] = 3.14 * [tex](0.005 m)^{2}[/tex] = 7.85 x [tex]10^{-5}[/tex] [tex]m^{2}[/tex]
The displacement of the spring is 0.840 cm (or 0.0084 m), so:
P = (1,500 N/m * 0.0084 m) / 7.85 x [tex]10^{-5}[/tex] [tex]m^{2}[/tex]
P = 16,020 Pa
So the change in depth that causes the piston to move in by 0.840 cm is a change in pressure of 16,020 Pa.
Know more about Hooke's Law here:
https://brainly.com/question/17068281
#SPJ11
what is the minimum number of slits required in a diffraction grating to just resolve light with wavelengths of 471.0 nm and 471.6 nm?
The minimum number of slits required is 393.
The minimum number of slits required to resolve two wavelengths [tex]\rm \( \lambda_1 \)[/tex] and [tex]\rm \( \lambda_2 \)[/tex] in a diffraction grating can be found using the formula [tex]\rm \( N = \frac{R}{m} \)[/tex], where [tex]\rm R = \frac{\lambda_{\text{avg}}}{\Delta \lambda} \)[/tex] and m is the order of the interference.
Given [tex]\( \lambda_1 = 471.0 \) nm and \\\\\( \lambda_2 = 471.6 \) nm, the average \( \lambda_{\text{avg}} \) is \\\\\( \frac{471.0 \, \text{nm} + 471.6 \, \text{nm}}{2} = 471.3 \) nm. \\\\The difference \( \Delta \lambda \) is \( 471.6 \, \text{nm} - 471.0 \, \text{nm} = 0.6 \) nm\\Calculate \( R = \frac{\lambda_{\text{avg}}}{\Delta \lambda} = \frac{471.3 \, \text{nm}}{0.6 \, \text{nm}} \\\\= 785.5 \).[/tex]
Now, substitute R into the formula for N:
[tex]\rm \[ N = \frac{R}{m} \\\\= \frac{785.5}{2} \\\\= 392.75 \][/tex]
Since N must be a whole number, the minimum number of slits required is N = 393.
Know more about diffraction grating:
https://brainly.com/question/30409878
#SPJ12
what is the general relationship between wavelength and wave base? group of answer choices wave base lies at a depth equal to four wavelengths. wave base lies at a depth equal to three wavelengths. wave base lies at a depth equal to two wavelengths. wave base lies at a depth equal to half the wavelength. wave base lies at a depth equal to one wavelength.
The general relationship between wavelength and wave base is that the wave base lies at a depth equal to half the wavelength.
Therefore we can say that two times the depth the wave base lies equals to a whole wavelength. The other options " wave base lies at a depth equal to four wavelengths. wave base lies at a depth equal to three wavelengths. wave base lies at a depth equal to two wavelengths. wave base lies at a depth equal to one wavelength." are therefore inaccurate.
More on wavelength: https://brainly.com/question/9928404
#SPJ11
lee mealone, a hermit pushes a 12.1 kg boulder into the wall of his cave at a speed of 4.43 m/s, the boulder is brought to a stop in 1.81 seconds. what was the magnitude of the impulse (in n*s) imparted to the boulder? (no or - signs.)
The magnitude of the impulse imparted to the boulder is 53.503 N*s.
How do we calculate?We know that
Impulse = change in momentum = final momentum - initial momentum
initial momentum = mass * initial velocity
initial momentum = 12.1 kg * 4.43 m/s = 53.503 kg m/s
final momentum of the boulder using the formula:
final momentum = mass * final velocity
final momentum = 12.1 kg * 0 m/s = 0 kg m/s
In conclusion, the change in momentum of the boulder is:
change in momentum = final momentum - initial momentum = 0 kg m/s - 53.503 kg m/s = -53.503 kg m/s
The negative sign is an indication that the momentum of the boulder has decreased.
|Impulse| = |-53.503 kg m/s| = 53.503 N*s
Learn mo0re about impulse at: https://brainly.com/question/229647
#SPJ1
the magnetic field in the interstellar space of our galaxy has a magnitude of about 1010 t. how much energy is stored in this field in a cube 10 light-years on edge? (for scale, note that the nearest star is 4.3 light-years distant and the radius of the galaxy is about 8 104 light-years.)
The energy stored in the magnetic field in a cube of 12.7 light-years on edge is approximately 1.1 x 10⁷ joules.
The energy stored in a magnetic field can be calculated using the formula:
E = (1/2) × B² × V
where E is the energy, B is the magnitude of the magnetic field, and V is the volume of the region in which the field exists.
Given that the magnetic field in the interstellar space of our galaxy has a magnitude of 1.13 × 10⁻¹⁰ T and the volume of a cube of 12.7 light-years on edge, we can calculate the energy stored in this magnetic field as follows:
V = (12.7 ly)³
= (12.7 x 9.461 x 10¹⁵ m)³
= 1.39 x 10⁴⁹ m³
E = (1/2) × (1.13 × 10⁻¹⁰ T)² × 1.39 x 10⁴⁹ m³
E = 1.1 x 10³⁷ joules
Therefore, the energy stored in the magnetic field in a cube of 12.7 light-years on edge is approximately 1.1 x 10⁷ joules.
To learn more about joules the link:
https://brainly.com/question/25982371
#SPJ4
The complete question is:
The magnetic field in the interstellar space of our galaxy has a magnitude of about 1.13 × 10⁻¹⁰ T. How much energy is stored in this field in a cube 12.7 light? years on edge? (For scale, note that the nearest star is 4.3 light? years distant and the radius of the galaxy is about 8 × 10⁴ light? years.)
A 0.02kg ice cube was melted at 0°C by an application of heat which further increased the temperature
of the resulted water to 40°C. Calculate the total heat supplied to the system within this temperature
range (hint: specific latent heat of fusion of water is 3.34 x 105 Jkg¹, the specific heat capacity of water
is 4200Jkg ¹K¹).
Total heat supplied to the system within this temperature range is 10040 J.
What is meant by heat?Heat refers to the energy that is released or absorbed during any chemical reaction.
Melting of the ice:
Amount of heat required to melt the ice is given by the equation: Q = mLf
Q is heat required, m is mass of the ice, and Lf is specific latent heat of fusion of water.
Q = (0.02 kg) × (3.34 × 10^5 J/kg)
Q = 6680 J
Therefore, the heat required to melt the ice is 6680 J.
Heating of the water:
Amount of heat required to raise the temperature of the water from 0°C to 40°C is given by the equation: Q = mcΔT
Q is heat required, m is mass of the water, c is specific heat capacity of water, and ΔT is change in temperature.
Q = (0.02 kg) × (4200 J/kg.K) × (40°C - 0°C)
Q = 3360 J
Therefore, heat required to heat the water from 0°C to 40°C is 3360 J.
Qtotal = Qmelting + Qheating
Qtotal = 6680 J + 3360 J
Qtotal = 10040 J
Therefore, total heat supplied to the system within temperature range is 10040 J.
To know more about heat, refer
https://brainly.com/question/934320
#SPJ1
The diagram below represents a 155-newton box
on a ramp. Applied force F causes the box to
slide from point A to point B.
What is the total amount of gravitational potential
energy gained by the box?
155-newton box going up a ramp. The gravitational potential energy in the universe totals 279J, which is what causes the box to move from point A to point B when force F is applied.
How is gravitational potential energy calculated?The formula for gravitational force is P.E. = mgh, whereby g is the force caused by gravity (9.8 m/s2 at the earth's surface) and h is the elevation in metres. The units for gravitational potential energy are kg m2/s2, which are the same as those for kinetic energy.
Which of the following points has the object's gravitational potential energy at its lowest?The amount of gravitational potential energy an object has depends on how high it is above the surface whenever the height is the smallest. Point B in the given diagram is the lowest point and is closest to the Earth's surface vertically.
To know more about potential energy visit :
https://brainly.com/question/24284560
#SPJ1
the intensity at a distance 5.0cm from a point source of light is 25.0watts/m2. what is the intensity at a distance of 2.5cm from the source?
The intensity at a distance of 2.5cm from the point source is 100.0 watts/m².
The intensity of light decreases as the distance from the point source increases. The relationship between intensity and distance is inversely proportional to the square of the distance. This means that if the distance is halved, the intensity will be four times greater.
In this case, the intensity at a distance of 5.0cm is given as 25.0 watts/m². To find the intensity at a distance of 2.5cm, we can use the inverse square law:
I₁/I₂ = (d₂/d₁)²
where I₁ is the intensity at the initial distance (5.0cm), I₂ is the intensity at the new distance (2.5cm), d₁ is the initial distance, and d₂ is the new distance.
Plugging in the values,
25.0/I2 = (2.5/5.0)²
Solving for I₂, we get,
I₂ = 4 x 25.0 = 100.0 watts/m²
To know more about intensity, here
brainly.com/question/17583145
#SPJ4
Two hockey players on ice skates push off of each other. One has a mass of 60 kg. The other has a mass of 80 kg.
A. If the 80 kg player moves back with a velocity of 3 m/s, what is his momentum.
B. What is the momentum of the 60 kg player?
C. What is the velocity of the 60 kg player?
Momentum of the 80 kg player is 240 kg⋅m/s (80 kg× 3 m/s).Momentum of the 60 kg player is 180 kg⋅m/s (60 kg×3 m/s).The velocity of the 60 kg player must be -3 m/s.
What is Momentum ?Momentum is an important concept in physics which describes the physical quantity of a moving body's inertia. It is a vector quantity, meaning it has both a magnitude and a direction. Momentum is equal to the product of mass and velocity, and is measured in kilograms-meters per second (kgm/s). Momentum is conserved in closed systems, meaning that the total momentum of a system will remain the same, regardless of any changes in mass or velocity. Momentum is a very useful tool for understanding the motion of objects, particularly in collisions and impacts.
To learn more about Momentum
https://brainly.com/question/1042017
#SPJ1
a truck with 26-in.-diameter wheels is traveling at 45 mi/h. find the angular speed of the wheels in rad/min: rad/min how many revolutions per minute do the wheels make? rpm
After converting to specified units, the angular speed is found to be 3655 rad/min. The wheels will have to rotate at a speed of 581.77 revolutions per minute.
As the diameter is in inches and the revolutions are calculated per minutes, we have to convert the unit of speed from mph to in/min.
1 mile = 63360 in
1 hour = 60 minutes
45 miles/ h = (63360 × 45) / 60 = 47520 in/min
Radius is half the diameter. So r = 26/2 = 13 inches.
Angular speed = speed/ radius = 47520 / 13 = 3655.38 rad/min
Revolutions per minute = Angular speed / 2π
= 3655.38 / 2π =581.77
So the angular speed will be 3655.38 rad/min and the Revolutions per minute will be 581.77 rpm.
For more information regarding angular speed and revolutions per minute, kindly refer
https://brainly.com/question/4721004
#SPJ4
what is the minimum number of rays needed to locate its image point? explain. match the words in the left column to the appropriate blanks in the sentences on the right.
At least two rays are required to find an object's image point.
When utilizing a convex or concave lens to determine the image point of an item, light rays from the object are refracted through the lens to create an image.
This spot, where the image is located, is where these two rays will intersect. The image's location will be confirmed if further rays are traced because they will all intersect there. Therefore, two rays are the bare minimum required to determine an object's image point at any point in front of the mirror.
To know more about Image formation, visit,
https://brainly.com/question/3567502
#SPJ4
a block of mass m containing a net positive charge q is placed on a smooth horizontal table which terminates in a vertical wall as shown in figure (29-e2). the distance of the block from the wall is d. a horizontal electric field e towards right is switched on. assuming elastic collisions (if any) find the time period of the resulting oscillatory motion. is it a simple harmonic motion ?
In conclusion, the time period of the resulting oscillatory motion is T = 2d/v, and the motion is not simple harmonic.
When the electric field is switched on, the charged block will experience a force in the direction of the electric field, i.e., towards the right. This force will cause the block to move towards the wall. If the block collides elastically with the wall, it will rebound with the same speed but in the opposite direction.
Let the velocity of the block just before collision with the wall be v. The time taken by the block to travel a distance d to reach the wall is given by t = d/v. The time taken by the block to return to its initial position is also t, as the block moves with the same speed v during the rebound. Therefore, the time period of the oscillatory motion is T = 2t = 2d/v.
Now, let's analyze whether the motion is simple harmonic or not. For simple harmonic motion, the restoring force should be proportional to the displacement from the equilibrium position and should be directed towards the equilibrium position. In this case, the restoring force is provided by the electric field, which is always directed towards the right. Therefore, the motion is not simple harmonic as the restoring force is not proportional to the displacement from the equilibrium position.
In conclusion, the time period of the resulting oscillatory motion is T = 2d/v, and the motion is not simple harmonic.
Learn more about simple harmonic.
https://brainly.com/question/28208332
#SPJ4
a tank is 10 m long, 4 m wide, 4 m high, and contains kerosene with density 820 kg/m3 to a depth of 3.5 m. (use 9.8 m/s2 for the acceleration due to gravity.) (a) find the hydrostatic pressure (in pa) on the bottom of the tank. incorrect: your answer is incorrect. pa (b) find the hydrostatic force (in n) on the bottom of the tank. n (c) find the hydrostatic force (in n) on one end of the tank. n
(a) The hydrostatic pressure is 28,490 Pa.
(b) At the bottom the force is 1,139,600 N.
(c) At the end the force is 1,621,200 N.
What is(a) The hydrostatic pressure (in pa) on the bottom of the tank(b) The hydrostatic force (in n) on the bottom of the tank. (c) The hydrostatic force (in n) on one end of the tank.(a) To find the hydrostatic pressure on the bottom of the tank, we can use the formula:
P = ρgh
where P is the pressure, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height of the liquid column.
The height of the liquid column is 3.5 m, and the density of kerosene is 820 kg/m3. The acceleration due to gravity is 9.8 m/s2. Therefore, we have:
P = 820 kg/m3 * 9.8 m/s2 * 3.5 m = 28,490 Pa
So the hydrostatic pressure on the bottom of the tank is 28,490 Pa.
(b) To find the hydrostatic force on the bottom of the tank, we can use the formula:
F = PA
where F is the force, P is the pressure, and A is the area. The area of the bottom of the tank is:
A = 10 m * 4 m = 40 m2
Using the pressure we found in part (a), we have:
F = 28,490 Pa * 40 m2 = 1,139,600 N
So the hydrostatic force on the bottom of the tank is 1,139,600 N.
(c) To find the hydrostatic force on one end of the tank, we need to first find the pressure on that end. The pressure on any point of the tank is given by:
P = ρgh
where h is the vertical distance from the point to the surface of the liquid.
The pressure on one end of the tank will depend on the distance of that end from the surface of the liquid. Let's assume that the end we are interested in is at the same level as the surface of the liquid. Then the pressure on that end is simply the atmospheric pressure, which we will assume is 101,325 Pa.
The area of one end of the tank is:
A = 4 m * 4 m = 16 m2
Using the pressure we found and the area of the end, we have:
F = 101,325 Pa * 16 m2 = 1,621,200 N
So the hydrostatic force on one end of the tank is 1,621,200 N.
Learn more about hydrostatic pressure
brainly.com/question/28206120
#SPJ11
If a vehicle starts to skid on water (hydroplane), the driver should ease off the accelerator, brake gently and gently steer back onto the pavement. (true or false)
If a vehicle starts to skid on water (hydroplane), the driver should ease off the accelerator, brake gently and gently steer back onto the pavement True.
If a vehicle starts to skid on water (hydroplane), it means that the tires have lost contact with the road and are riding on a thin layer of water, resulting in a loss of traction and control. To regain control of the vehicle, the driver should ease off the accelerator to reduce the speed, and gently steer the vehicle back onto the pavement.
Braking should be done gently, as sudden braking can cause the wheels to lock up and increase the risk of a spin-out or loss of control. It is important for drivers to stay calm and focused during hydroplaning to avoid accidents.
Learn more about the accelerator
https://brainly.com/question/30660316
#SPJ4
True. To restore control, the driver should gradually release the gas, softly use the brakes and turn the car back onto the roadway.
This is due to the fact that hydroplaning makes it challenging to regulate the direction and speed of the vehicle since it happens when the tyres lose contact with the road due to a layer of water. If the brakes are used too firmly, the wheels may lock up and the skid will worsen. To regain control of the vehicle, it is crucial to avoid making abrupt moves and instead make small adjustments. Additionally, keeping adequate tyre tread depth and the right tyre pressure might aid in avoiding hydroplaning altogether.
Learn more about brakes here:
https://brainly.com/question/19755465
#SPJ11
