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A) runner a's distance will be 115.2 m, and runner b's distance will be 120.7 m.
What is distance?Distance is a numerical measurement of how far apart two objects or points are from one another. Distance can be measured in a variety of ways including miles, kilometers, feet, and meters.
To solve this problem, we need to use the equation d = rt, where d is the distance, r is the rate, and t is the time. Since both runners are running at a constant speed, we can assume the rate (r) is the same for both.
We can calculate the rate by using the information that both runners were 64 m away from the starting point after 25 s. We can plug this information into the equation to get:
64 m = r * 25 s
Solving for r, we get:
r = 2.56 m/s
Now that we have the rate, we can plug it into the equation to calculate the distances for both runners at time t = 45 s.
For runner a (who started at t = 0s), the distance will be:
d = 2.56 m/s * 45 s
d = 115.2 m
For runner b (who started at t = 2.5 s), the distance will be:
d = 2.56 m/s * 42.5 s
d = 120.7 m
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Capacitor 2 has half the capacitance and twice the potential difference as capacitor 1.
What is the ratio Uc1/Uc2.
Where would I start with this problem and what equation would I use?
You can start the problem by using the formula for capacitance, C = Q/V, where C is the capacitance, Q is the charge stored on the capacitor, and V is the potential difference across the capacitor.
What are capacitors?A capacitor is a passive electrical component that stores electrical energy in an electric field. It consists of two conductive plates, separated by an insulating material called the dielectric. When a voltage is applied across the conductive plates, an electric field is created, which stores energy in the dielectric. The ability of a capacitor to store electrical energy is measured in farads (F).
Given that Capacitor 2 has half the capacitance and twice the potential difference as Capacitor 1, you can express the capacitance and potential difference of Capacitor 2 in terms of those of Capacitor 1.
C₂ = 1/2 × C₁ V₂ = 2 × V₁
You can use these equations to find the ratio of the stored energy in the two capacitors. The stored energy in a capacitor is given by the formula U = 1/2CV², where U is the stored energy, C is the capacitance, and V is the potential difference.
Uc1 = 1/2C₁V₁² Uc2 = 1/2C₂V₂²
By substituting the values of C₂ and V₂ in terms of C₁ and V₁, you can find the ratio of the stored energy in the two capacitors:
Uc1/Uc2 = (1/2C₁V₁²) / (1/2×(1/2C₁) (2V₁) ²) Uc1/Uc2 = 1/8
The ratio of stored energy in the two capacitors is 1/8.
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Referring to the POWER trendline equation from analysis step 2, what mathematical relationship exists between the wave speed and the density of the medium.
The mathematical relationship exists between the wave speed and the density of the medium is that the density of the medium is inversely proportional to the wave speed.
What is wave speed?The amount of space a wave covers in a certain amount of time, such as the number of meters it covers in a second, is known as its wave speed. The following equation relates wave speed to both wave frequency and wavelength: Wavelength x Frequency = Speed.
Since sound is a mechanical wave, it moves through a medium by being compressed and rarefied. In an elastic medium, its velocity is proportional to the square root of the tension present. More elasticity in the medium results from higher density, which also increases the ease with which compression and rarefaction can occur. In this manner, the density increases while the sound velocity increases.
As a result, the square root of the medium's density and the velocity of sound in that medium are inversely related.
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Suppose the wind speed in a hurricane is 108 mph. (a) Find the difference in air pressure outside a home and inside a home (where the wind speed is zero). The density of air is 1.29 kg/m3.
The stated difference in air pressure between the outside and interior of a residence is 1528.86 Pa. (where the wind speed is zero).
What is the wind energy physics?The blades of a turbine, which resemble propellers and function much like an aeroplane wing, capture the wind's energy. A pocket or minimal air develops on one blade's other side as the wind blows. The blade is subsequently drawn into the low-pressure air pocket, which turns the rotor. It is known as lifting.
Spped of wind out side the home V₁ = 109 mph
= 109 * 1.608 Kmph
= 175.272Kmph
= 48.686 m/s
Spped of wind inside the home V₂ = 0 Kmph
Density of air ρ = 1.29Kg/m³
Bernoulli's equation states:
Pressure difference P = [tex]\mathrm{P}_2-\mathrm{P}_1=\frac{1}{2} \rho\left(v_1^2-v_2^2\right)[/tex]
= 0.5 * 1.29 * (48.686)²
= 1528.86 Pa
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) while driving down the road, a firefly strikes the windshield of a bus and makes a quite obvious mess in front of the face of the driver. this is a clear example of an action-reaction pair. the firefly hits the bus and the bus hits the firefly. which of the two forces is greater: the force on the firefly or the force on the bus? (be careful)
The force on the firefly is greater than the force on the bus.
The concept of action-reaction pair is described by Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this scenario, the force of the firefly striking the bus is the action and the force of the bus striking the firefly is the reaction.
However, the force on the firefly is greater than the force on the bus. This is because the firefly is much smaller and less massive than the bus, so the force required to stop the firefly is much greater than the force required to stop the bus. Additionally, the firefly's impact on the bus would be negligible, while the bus' impact on the firefly would be fatal.
The forces acting on two objects in an action-reaction pair are equal in magnitude but opposite in direction, but the effect of these forces on the objects can be different based on the mass and velocity of the objects.
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a) For the two vectors A? and B? in the figure (Figure 1) , find the scalar product A? ?B? .
b)Find the magnitude of the vector product A? ×B?
a) The scalar product of A and B is -6.62m2.
b) The vector product of A and B is -8.5k.
Rectangular components of the magnitude of A are:
[tex]\begin{aligned}& A x=3.6 \cos 70 \\& A y=3.6 \sin 70 \\& A=A x^i+A y^j \\& A=3.6 \cos 70 x^i+3.6 \sin 70 x^j \\& A=1.23 x^i+3.38 x^j\end{aligned}[/tex]
Rectangular components of the magnitude of B are:
[tex]\begin{aligned}& B x=-2.4 \cos 30 \\& B y=-2.4 \sin 30 \\& B=B x^i+B y^j \\& B=-2.4 \cos 30 x^i-2.4 \sin 30 x^j \\& B=2.08 x^i-1.20 x^j\end{aligned}[/tex]
a)The scalar product of A.B is
[tex]$$A . B=1.23 *(2.08)+3.38(-1.20)$$$A . B=-6.62 m^2$[/tex]
b)The vector product of A x B is
[tex]\begin{aligned}& A * B=(3.38 * 0+1.20 * 0) i-(1.23 * 0+2.08 * 0) j+(1.23 *-1.20-2.08 * 3.38) k \\& A * B=(-1.476-7.03) k \\& A * B=-8.5 k\end{aligned}[/tex]
What is the scalar product of vectors A and B?The scalar product of two vectors a and b of magnitude |a| and |b| is given as |a||b| cos θ, where θ represents the angle between the vectors a and b taken in the direction of the vectors.
What is a vector product?The Vector Product of two vectors can be defined as the resultant vector perpendicular to both vectors. It is also known as the cross product of two vectors and is often denoted by a x b. The Vector Product of two vectors results in a vector perpendicular to both vectors.
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if a total force exerted by water in a container with a bottom area of 2 square meters is 450 newtons, what's the water
If the total force applied by water in a vessel with a bottom area of 2 square meters is 450 newtons, then the water pressure at the bottom of the vessel would be 225 Pascals.
What's pressure?The total actionable force per unit of area is known as the pressure.
The pressure depends both on externally applied force as well the area on which it's applied.
The fine expression for the pressure
Pressure = Force/ Area
the pressure is expressed by the unit pascal or N/ m ²
There's a difference between the pressure and the stress in the material although both have the same fine expression.
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with what tension must a rope with length 3.00 m and mass 0.145 kg be stretched for transverse waves of frequency 45.0 hz to have a wavelength of 0.770 m ? express your anwer in newtons.
The string is under 58.03 N of stress, in accordance with the supplied information.
Why do you use the word "frequency"?The frequency of a repeated event is its number of instances per amount of time. It differs from angular frequency and is sometimes referenced to as temporal resolution for clarification. One occurrence per second, or hertz (Hz), is the unit of frequency.
λ = Wavelength = 0.770 m
f = Frequency = 45.0 Hz
m = Mass of string = 0.145 kg
L = Length of string = 3.00 m
μ = Linear density = m/L
The wave's speed is determined by
v = λf
v = 0.770 * 45.0
v= 34.65 m/s
The source of the string's tension is
T = v²μ
T = (34.65)² * 0.145/3.00
T = 58.03 N
The string is under 58.03 N of stress.
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Consider the following question: A car moving at 10 m/s crashes into a tree and stops in 0.26 s. Calculate the force the seatbelt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg. Would the answer to this question be different if the car with the 70-kg passenger had collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed
The acceleration in this case will be (10-0)/0.52 = 19.23 m/s2 and the force exerted by the seatbelt will be 70 kg x 19.23 m/s2 = 1355.1 N.
What is accelaration?Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both direction and magnitude. It is typically measured in meters per second squared (m/s2). Acceleration can result from an increase in speed, a change in direction, or a combination of both. It is one of the fundamental concepts of physics and is used to describe the motion of objects in various conditions.
Assuming that the car and the passenger are in a perfectly inelastic collision, the force the seatbelt exerts on the passenger to bring him to a halt is calculated using the equation Force = Mass x Acceleration, where acceleration is calculated using the equation Acceleration = Change in Velocity/Time. In this case, the acceleration is (10-0)/0.26 = 38.46 m/s2, so the force exerted by the seatbelt is 70 kg x 38.46 m/s2 = 2711.2 N.
The answer to this question will be different if the car with the 70-kg passenger collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed. This is because the two cars will collide and then move away from each other at the same speed, and the passenger will experience a longer time to come to a halt. The time taken to come to a halt in this case will be twice the time taken for the car to come to a halt, i.e. 0.26 x 2 = 0.52 s. Therefore, the acceleration in this case will be (10-0)/0.52 = 19.23 m/s2 and the force exerted by the seatbelt will be 70 kg x 19.23 m/s2 = 1355.1 N.
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The force the seatbelt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg is -2640 N.
Describe mass?Mass is a scalar quantity that describes the amount of matter in an object. It is typically measured in units of grams (g) or kilograms (kg). The mass of an object does not change with its location or the presence of a gravitational field, unlike weight, which does change.
The force the seatbelt exerts on a passenger in the car to bring him to a halt can be calculated using the formula:
F = m ₓ a
where F is the force, m is the mass of the passenger, and a is the acceleration of the passenger during the collision. The acceleration of the passenger can be calculated using the formula:
a = Δv / t
where Δv is the change in velocity of the passenger and t is the time it takes for the passenger to come to a stop.
Given that the car is moving at 10 m/s and stops in 0.26 s, the change in velocity of the passenger is -10 m/s (because the velocity changes from positive to zero) and the time it takes for the passenger to come to a stop is 0.26 s.
So:
a = [tex]\frac{-10 m/s }{0.26 s}[/tex] = -38.46 m/s²
Substituting the mass of the passenger which is 70 kg and the acceleration, we get:
F = 70 kg ₓ -38.46 m/s² = -2640 N
The force exerted on the passenger would be -2640 N, which is directed towards the opposite direction of the car's motion, this force is the force exerted by the seatbelt on the passenger's chest.
If the car with the 70-kg passenger had collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed, the force the seatbelt exerts on the passenger would be the same. The force exerted on the passenger is dependent on the mass of the passenger and the acceleration experienced during the collision, not on the mass or velocity of the object the car collided with.
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A book is on the table. If the weight of the book is 25 newtons, what is the magnitude and direction of the normal force?A.2.5 newtons in the downward directionB.2.5 newtons in the upward directionC.25 newtons in the upward directionD.25 newtons in the downward directionE.25 newtons perpendicular to the gravitational force
The normal force has a 25 N force magnitude and an upward force direction.
The force the book exerts on the table is downward-directed and equal to its weight, which is 25 N.
According to Newton's third law, every force an object A applies to an object B is balanced out by an equally strong force applied in the opposite direction to object A.
The book is object A in this instance, while the table is object B. According to Newton's third law, the table pulls on the book with a force that is both equal to and opposite to that of the force exerted by the table. As a result, the normal force's magnitude is the same as the weight of the book (25 N), while its direction is opposite.
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you are the driver in the photo. your front zone is closed. what other related zone will you check at this moment, and what is the condition of that zone?
If the front zone in front of the driver is closed, the other zone which you will be able to check is the rear zone.
The closed zone refers to a space which is not open to view because of the restriction in the line of sight or intended path of travel.
A yellow or red traffic signal, a yield sign, or something moving into your intended route of movement are all indicators of a closed front zone. You must be ready to slow down or stop if you have seen a closed zone at a junction. Check your back zone as soon as you locate a closed zone. Start braking if it is already open. If the rear zone is closed, lightly press the brake pedal a few times to signal to the driver in back that you are stopping.
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two masses have the same linear momentum. one mass is 3 kg and the other is 4 kg. which mass has greater kinetic energy?
The mass with greater kinetic energy is the 4 kg mass.
What is mass?Mass is a measure of the amount of matter in a given object. It is usually measured in kilograms (kg) or grams (g). Mass is different from weight, which is a measure of the force of gravity on an object. Mass is an intrinsic property of an object, which means it doesn't change depending on where it is located.
Kinetic energy is calculated using the equation KE = 1/2mv2, where m is the mass and v is the velocity. Since the two masses have the same linear momentum, then the velocity of the 4 kg mass must be greater than the velocity of the 3 kg mass. This means that the 4 kg mass has a greater kinetic energy because it has a greater mass and a greater velocity. Therefore, the 4 kg mass has a greater kinetic energy.
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two masses have the same linear momentum. one mass is 3 kg and the other is 4 kg. The mass with greater kinetic energy is the 4 kg mass.
What is mass?Mass is a measure of the amount of matter in a given object. It is usually measured in kilograms (kg) or grams (g). Mass is different from weight, which is a measure of the force of gravity on an object. Mass is an intrinsic property of an object, which means it doesn't change depending on where it is located.
Kinetic energy is calculated using the equation
K.E. = 1/2mv²,
where m is the mass and
v is the velocity.
Since the two masses have the same linear momentum, then the velocity of the 4 kg mass must be greater than the velocity of the 3 kg mass.
This means that the 4 kg mass has a greater kinetic energy because it has a greater mass and a greater velocity.
Therefore, the 4 kg mass has a greater kinetic energy.
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sirius is a blue-white star with a surface temperature of about 9800 k. what is most likely the mass of sirius?
sirius is a blue-white star with a surface temperature of about 9800 k. 2.0 solar mass is most likely the mass of sirius.
What do mass and an example mean?The amount if matter that makes up every object or body is the greatest way to understand mass. Everything that we can see has mass. Examples of objects with mass include a table, a desk, your bedroom, a football, weight glass, and even air.
How is mass determined?Scientists frequently use balances to quantify mass. Using an electronic balance or a beam balance, one may directly determine the mass of solids. A liquid's mass can be calculated by measuring its volume and using the density table to determine the liquid's density. The kilogram is the SI measure of weight (Kg).
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A proton with an initial speed of 900,000 m/s is brought to rest by an electric field.
What was the potential difference that stopped the proton?
Express your answer to two significant figures and include the appropriate units.
What was the initial kinetic energy of the proton, in electron volts?
Express your answer using two significant figures.
The potential difference that stopped the proton is 8.75 × 10²⁴ V.
The kinetic energy of the proton is 2.25 × 10⁻¹³ J or 1.4 × 10⁶ eV.
What is potential difference?The potential difference that stopped the proton can be found using the equation: work done = qV = kinetic energy lost, where q is the charge of the proton (1.6 x 10⁻¹⁹ C), V is the potential difference, and kinetic energy lost is the initial kinetic energy of the proton.
Since the proton is brought to rest, the final kinetic energy is 0, so the initial kinetic energy can be found by:
kinetic energy = 1/2 × m × v²
where m is the mass of the proton (1.67 x 10⁻²⁷ kg) and v is the initial speed of the proton (900,000 m/s), the kinetic energy of the proton is 2.25 × 10⁻¹³ J or 1.4 × 10⁶ eV.
The potential difference can be found by:
V = kinetic energy lost / qV = 1.4 × 10⁶ eV / 1.6 × 10⁻¹⁹ C V = 8.75×10²⁴ V.
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A house uses solar cells that generate 1.5 kw of electrical power to supply some of its energy needs. if the solar panels supply the house with 40 percent of the power it needs, how much power does the house use?
The electric power that the house use is 3.75kW.
According to the question, a house use solar cell that gives 1.5kW of electric power and the solar panels supply the house with the 40% of the power it need.
Voltage, or the potential of a charge to produce energy, and current, or the flow of electric charge, are the two main components of electric power. Any ratio of current and voltage values can provide a given amount of power.
Let there is x kW power that the house use.
Now it is given that 40% of the power is supplied that means
40% of x=1.5
x=[tex]\frac{(1.5)(100)}{40}[/tex]
x=3.75kW
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The spelling of occasion
Answer:
occasion - a particular event, or the time at which it takes place.
if the mass of the child and sled is 37 kg , what is the magnitude of the average force you need to apply to stop the sled? use the concepts of impulse and momentum.
The average force is 98.66N in magnitude. The average force is the force applied by an item when it is travelling at a specific speed.
Does average force correspond to net force?Average force is a fluctuating force that is not constant throughout time. It provides a more or less consistent value to compute the other factors connected to it. The overall force imparted to the item is referred to as the "net force," though.
What is the formula for average force?The average force is therefore equal to the body's mass times the average speed during a specific period of time.
final velocity (v) = 0
Ft = m(v - u)
F = m(v-u)/t
F = -37 × 1.6/ 0.6
= -98.66N
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ASAP pls solve this question ASAP
Pick any natural or human-designed system of interest to you. List four components and describe what part of the process each contributes to making the system run well.
A human-designed system is computer. Four important of computer is:
Input UnitOutput UnitMemory UnitControl UnitWhat are the component of computer?Only when a command is delivered to a computer will it answer. The input unit or the input devices can be used to issue these commands.When we tell a computer to do anything, it responds by going back and giving us the output. Output is the name of this output. The computer is connected to a variety of output devices.Utilizing an input device, we can enter data into a computer, which is instantaneously saved in the memory of the central processing unit (CPU).The central component that controls how a computer device operates is called the control unit. One of the most important parts of the computer system, it.Learn more about computer here:
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How many newtons of force are required to pull a basket of fruit 2.5 M in 180 seconds using a 10 W of power?
Answer:
Explanation:
In order to answer this question, we need to first calculate the amount of work required to pull the basket of fruit 2.5 M in 180 seconds. This can be done by multiplying the power (10 W) by the time (180 seconds):
Work = 10 W x 180 s = 1800 J
Now, we can calculate the force required to do this work in 180 seconds by dividing the work (1800 J) by the distance (2.5 M):
Force = 1800 J / 2.5 M = 720 N
Therefore, 720 Newtons of force are required to pull a basket of fruit 2.5 M in 180 seconds using a 10 W of power.
11) a truck with momentum 40,000 kg * m/s comes to rest and then reverses direction and now has momentum of -40,000 kg * m/s. what is the change in momentum
The change in the momentum of the truck is 80000 kg-m/s. If the truck comes to rest and then reverse its direction.
Momentum(p) of an object is nothing but the product of the mass(m) and the velocity(v). Momentum is used to calculate the applied force by a moving object that changes its state of motion. As the rate of change of momentum is equal to the force. Change of momentum for a very short time is known as the impulse. Momentum is a vector quantity.
Change in momentum(Δp) = initial momentum(p₁) - final momentum(p₂)
Initial momentum, p₁ = 40000 kg-m/s
Final momentum, p₂ = -40000 kg-m/s
Δp = 40000 - (-40000) = 80000 kg-m/s
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which of the three objects experiences the greatest buoyant force. which of the three objects experiences the greatest buoyant force. object a. object b object c. all three objects have the same buoyant force.
Objects A, B, and C in Figure 13.16 have the same volume. Rank in order, from largest to smallest, the size of the buoyant forces F(A), F(B), and F(C) on A, B, C.
Which item has the strongest buoyancy?Aluminum suffers the highest buoyant force since it has the highest volume and the largest amount of water displaced.
What kind of force is buoyant, for instance?Here are a few real-world instances of the buoyant force.A ship floating in the ocean, a boat moving down a river, an iceberg floating in the water, a person wearing a life jacket floating in the water, a helium balloon ascending in the sky, etc.The density has a direct relationship with the buoyant force.
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A proton and an alpha particle are momentarily at
rest at a distance y from each other. They then
begin to move apart. Find the speed of the proton
by the time the distance between the proton and
the alpha particle doubles.
Both particles are positively charged. The charge
and the mass of the proton are, respectively, e and
m. The charge and the mass of the alpha particle
are, respectively, 2e and 4m.
Find the speed of the proton (Ur )p by the time the distance between the particles doubles. Express your answer in terms of some or all of the quantities e, m, r, and ε
A proton and an alpha particle are momentarily at
rest at a distance y from each other. They then
begin to move ap
the speed of the proton (Ur )p by the time the distance between the particles doubles is (e / (m * y)) * √(2/πε)
The speed of the proton can be found by using the conservation of mechanical energy. The initial potential energy between the proton and the alpha particle is given by: Ui = (1/4πε) * (2e * e)/y. As the distance between the particles doubles, the final potential energy is given by: Uf = (1/4πε) * (2e * e)/(2y) Using the conservation of mechanical energy, we can write:Ui + Ki = Uf + Kf Where Ki is the initial kinetic energy and Kf is the final kinetic energy. Since the particles are momentarily at rest, Ki = 0. Also, Kf = (1/2) * m * Ur^2. where Ur is the speed of the proton. We can substitute these values into the equation for the conservation of mechanical energy:(1/4πε) * (2e * e)/y = (1/2) * m * Ur^2 + (1/4πε) * (2e * e)/(2y) Solving for Ur, we get: Ur = (e / (m * y)) * √(2/πε). This is the final velocity of the proton when the distance between the proton and the alpha particle doubles.
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Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by where x and y are measured in inches. Where should she place the bulb to ensure a perfect beam of light
The bulb should be placed on parabolic focus to ensure a perfect beam of light
The point on a parabola known as the parabolic focus is where all parallel light rays are reflected at a single point or when all rays travelling through the focus are reflected parallel to the axis of symmetry. The focus of a parabolic reflector is the location at which the reflected light congregates.
The parabola point is equally spaced from the directrix and the vertex, to use mathematical terminology. An equation for a parabola is presented in standard form. Therefore, a parabola lying sideways and facing right with an extremum of will serve as the visual representation in the given example in Cartesian (2; -3). Given that 13 is the focal parameter, the focus will be at (2+0.5p; -3) or (8,5; -3).
Complete Question:
Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (y+3)^2=26(x-2) where x and y are measured in inches. Where should she place the bulb to ensure a perfect beam of light?
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when helping a friend move into a new home, you push a chair across the room. what do you know about the force of friction applied to the chair by the floor?
If the velocity of the chair is constant, then the net force reserve on it is zero. The force you apply to keep it going is equal and opposite to the force of friction.
friction, force that oppose the sliding or rolling of one solid object over another. Frictional forces, such as the grip needed to walk without slipping, may be favorable, but they also present a great compute of opposition to motion.
About 20 percent of the engine power of automobiles is inject in overcoming frictional forces in the moving parts.
The major cause of friction between metals emerges to be the forces of attraction, known as adhesion, between the contact section of the surfaces, which are always microscopically uneven.
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a heavy machine, weighing 3000 n, is supported on a resilient foundation. the static deflection of the foundation due to the weight of the machine is found to be 7.5 cm. it is observed that the machine vibrates with an amplitude of 1 cm when the base of the foundation is subjected to harmonic oscillation at the undamped natural frequency of the system with an amplitude of 0.25 cm. find a. the damping constant of the foundation, b. the dynamic force amplitude on the base, and c. the amplitude of the displacement of the machine relative to the base.
A 3000 N heavy machine is supported on the a robust foundation. The machine's weight is found to cause a static displacement of the foundation.
Why is static important?
adjective Also called "statistical," this term refers to something that is fixed or stationary. exhibiting minimal or no change a static idea; a static connection. deficient in activity, growth, or vitality: Characterizations in the work were static, especially in regard to its main characters.
What is static, anyway?
An imbalance of electrostatic force within or on surface of a material, or between materials, results in static electricity. The charge persists until it can be expelled through an electrical discharge or current.
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when you used a stiffer or tighter elastic material, what effect did this have on the duration of the impulse? what effect did this have on the maximum size of the force? can you develop a general rule from these observations?
The use of a stiffer or tighter elastic material caused the duration of the impulse to be shorter, making the maximum force larger.
The general rule that can be formed would be that the shorter the time, the larger the force is to achieve the same impulse.
We can define it by impulse- momentum theorem.
Ft = mΔv( also, Ft = impulse)
F = mΔv/ t
Impulse is commensurable to the constant net force acting on an object and the time period that the net force acts.
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A Venturi meter is a simple device for measuring fluid velocity in a gas such as air. When gas passes from left to right through the horizontal pipe, it speeds up as it passes through the constriction at point 2. Bernoulli's principle tells us that the gas pressure must be lower at point 2 than at point 1, and the pressure difference causes the liquid in the U-tube to drop on the left-hand side and rise on the right-hand side. Suppose the gas is air (density 1.20 kg/m3) that enters the left-hand side of the Venturi meter at 25.0 m/s. The horizontal tube has cross-sectional area 2.00 cm2 at point 1 and cross-sectional area 1.00 cm2 at point 2. If the liquid in the U-tube is water, what is the difference in height between the water columns on the left-hand and right-hand sides of the tube
The difference in height between the water columns on the left-hand and right-hand sides of the tube can be found using the principle of continuity of fluid flow. Applying this principle to the two points in the tube, we can write the following equation: A1 * v1 = A2 * v2
Where A1 is the cross-sectional area at point 1, v1 is the velocity of the fluid at point 1, A2 is the cross-sectional area at point 2, and v2 is the velocity of the fluid at point 2.
Since the fluid is water and is at rest, we can assume that the velocity of the fluid at both points is zero and the equation becomes:
A1 = A2 * h2 / h1
Therefore:
h2 = (A1 * h1) / A2
h2 = (2.00 cm2 * h1) / 1.00 cm2
h2 = 2h1
What is the principle of continuity of fluid flow?The principle of continuity of fluid flow states that what flows into a defined volume in a defined time, minus what flows out of that volume in that time, must accumulate in that volume.
What is a symbol of continuity?The continuity mode has a diode symbol, which is a triangle with a line on the right side.
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determine the orbital speed of a satellite that is orbiting the earth at an altitude where the gravitational acceleration is 8.70 m/s2.
The orbital speed of a satellite that is orbiting the earth at an altitude where the gravitational acceleration is 8.70 m/s^2 is 7.68×10^3m/s.
Given the centripetal acceleration of satellite (a) = 8.70 m/s^2
The mass of earth (M) = 5.98×10^24 kg
Let the radius of satellites orbit = R
The satellites orbital speed = v
We know that the satellite's centripetal acceleration (a = v²/R ) is equal to its gravitational acceleration.
v²/R = GM/R² here G is the gravitational constant 6.674×10-11 m3⋅kg-1⋅s-2
v² = GM/R
From centripetal acceleration we have R = v²/a. Then,
v² = GMa/v²
v = (GMa)^1/4
v = (6.674×10^-11 x 5.98×10^24 x 8.70)^1/4 = 7.68×10^3m/s
Hence the orbital speed of a satellite is 7.68×10^3m/s
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When a golf club hits a 0.0459 kg ball (initially at rest), it exerts a 2380 N force for 0.00100 s. What is the momentum of the ball afterwards?
PLEASE I NEED HELP!
The momentum of the ball after being hit by the club can be calculated using the formula p = mv, where p is momentum, m is mass, and v is velocity. Since the force exerted on the ball is known (2380 N) and the time over which the force is exerted is also known (0.00100 s), we can use the formula F = ma to find the acceleration of the ball, where F is force, m is mass, and a is acceleration.
F = m*a
a = F/m
a = 2380 N / 0.0459 kg
The acceleration of the ball is 51760 m/s^2
Next, we can use the kinematic equation v = u + at to find the velocity of the ball, where v is final velocity, u is initial velocity and t is time.
v = u + at
u = 0 m/s (initial velocity)
t = 0.00100 s (time)
v = 0 + (51760 m/s^2)*(0.00100 s)
v = 5.176 m/s
Finally, we can use the momentum formula
p = m*v
p = (0.0459 kg)*(5.176 m/s)
p = 238.64 Ns (Newton second)
Therefore, the momentum of the ball after being hit is 238.64 Ns.
what is the mechanical work done by the cantilever when the extension increases from 10 nm to 15 nm?
It is shown graphically as the region between the respective data points on the force-extension graph. The correct answer from Figure 2 is [(100 - 0) 10-12]N [(15 - 10) 10-9]m/2 = 2.50 10-19 J.
Force divided by extension equals what?F = k e. When force (F) is expressed in newtons (N) The newtons per metre (N/m) unit of measure for spring constant (k) Extension (e), often known as lengthening, is expressed in metres (m).
What is displayed on a force-extension graph?An increase in applied stress causes a material to extend, as shown by a force-extension graph. The properties of the material can be determined and predicted using this method.
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5. if the air at 1000 mb is lifted to 700 mb, will it be colder or warmer than the surrounding air? does this represent a stable or an unstable condition? why?
When air at 1000 mb is lifted to 700 mb, it will be colder than the surrounding air.
This represents an unstable condition, as the air is not able to stay in its current state and is forced to move up and away from its original position. This creates a situation where the colder air is more dense and is more likely to sink back down towards its original position.
In an unstable condition, the air is constantly moving and shifting, making it difficult to predict what the weather conditions will be.
This condition is considered to be unstable because the air has become less dense than the air around it. As the air rises and cools, the air molecules condense and form clouds which can lead to the development of storms.
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