Graph 1 shows the increasing speed.
Graph 2 shows the sitting still.
Graph 3 shows the constant speed.
What is Speed-time graph?The speed-time graph is described in such a way that speed is always plotted on the vertical axis and time is always plotted on the horizontal which gives the speed of a particle accelerating at time 0, u at time t represents the speed up to v.
For uniformly varying speed the speed-time graph will be a straight line while the acceleration in the graph is given by the slope of the graph. The distance covered by a moving body in a given time can be calculated from the speed time graph.
Like in above given example, graph 1 shows the increasing as it is increasing with time, graph 2 shows the sitting still position as time is increasing but distance is constant and graph 3 shows the constant speed as with time equal distance increases.
Thus, Graph 1 shows the increasing speed.
Graph 2 shows the sitting still.
Graph 3 shows the constant speed.
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the threshold wavelength for tungsten is 2700 å. what is the maximum kinetic energy of photoelectrons produced by photons of wavelength 2200 å? a) 1.5 eV. b) 2.2 eV. c) 3.0 eV. d) 5.0 eV
The maximum kinetic energy of photoelectrons produced by photons of wavelength 2200 å is 5.0eV. Hence the correct option is (d).
The maximum kinetic energy of photoelectrons produced by photons of wavelength 2200 Å can be calculated using the following equation:
Kmax = hc/λ - W
Here Kmax is max. KE of photoelectrons, h is Planck's cons. (6.62 x 10^-34 Js), c is speed of photon i.e. light (2.998 x 10^8 m/s), λ is wavelength of incident photon (2200 Å), and W is work function of metal (the minimum amount of energy required to remove an electron from the metal).
Converting the wavelength from Å to m:
λ = 2200 x 10^-10 m
Using the above equation, we can calculate the maximum kinetic energy of photoelectrons produced by photons of wavelength 2200 Å:
Kmax = (6.62 x 10^-34)(2.998 x 10^8) / (2200 x 10^-10) - W
The value of W can be calculated from the threshold wavelength of tungsten, which is 2700 Å. The relationship between the threshold wavelength and the work function can be expressed as follows:
W = hc/λthreshold
Putting the value of threshold wavelength:
W = (6.62 x 10^-34)(2.998 x 10^8) / (2700 x 10^-10)
Inserting vale for W in equation for Kmax:
Kmax = (6.62 x 10^-34)(2.998 x 10^8) / (2200 x 10^-10) - (6.62 x 10^-34)(2.998 x 10^8) / (2700 x 10^-10)
Simplifying the expression, we get:
Kmax = 5.0 eV
Therefore, the maximum kinetic energy of photoelectrons produced by photons of wavelength 2200 Å is 5.0 eV (Option d).
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what did the magdeburg experiment demonstrate about air pressure? that atmospheric pressure on the earth's surface has tremendous force that the vacuum inside the two attached hemispheres has tremendous suction that horses are not intelligent enough to understand how to defeat atmospheric pressure that the horses could not get sufficient traction to pull the hemispheres apart
When the rims were greased and the air was blasted out, the Magdeburg experiment showed that air pressure existed and that a vacuum existed inside the sphere, which prevented teams of horses from pulling it apart.
Why do the hemispheres of Magdeburg adhere to one another?The two hemispheres are held together by the tremendous inward pressure from the surrounding atmosphere, which is there despite nearly no outward pressure from within.To show the strength of air pressure, they were utilized. The sphere held a vacuum and could not be dragged apart by teams of horses in a famous first public display in 1654 after the rims were greased and the air was pushed out.When the rims were greased and the air was blasted out, the Magdeburg experiment showed that air pressure existed and that a vacuum existed inside the sphere, which prevented teams of horses from pulling it apart.To learn more about hemispheres refer to:
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consider an electric current, i, travelling through a circuit when it encounters a junction, splits into two branches a and b, and later rejoins back together. what parameter(s) are involved in determining the fraction of the original current, i, that travels path b?
The fraction of the original current that travels path b depends on the resistances of the two branches a and b, and the voltage across each branch.
The resistance of a conductor is proportional to the current flowing through it, and the voltage across a conductor is proportional to the power being supplied to it.
Ohm's law states that the voltage across a conductor is proportional to the current flowing through it and the resistance of the conductor, V = IR.
Therefore, the fraction of the original current that travels path b can be determined by the ratio of the resistance of path b to the total resistance of both paths a and b, and the voltage across path b to the total voltage across both paths.
The fraction of current that travels path b = (Resistance of path b / Total resistance) * (Voltage across path b / Total voltage)
In other words, the fraction of the original current that travels path b is determined by the impedance of path b relative to the impedance of both paths combined.
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An electric heater is rated 1500 W. How much energy does it use in 10 hours?
Solution.
Answer: Given: Power=1500W=1500/1000=1.5kW time=t=10hours. Energy=Power x t =1.5 X 10 =15kWh Hence, the energy consumed by the heater in 10h is 15kwH
you have learned where earth is in relation to the sun, other planets and galaxies. based on what you learned, select all of the correct statements from the following list.
The correct statements are The Milky Way is a spiral galaxy, The Sun is a star, Earth and most of the other planets orbit the Sun in nearly circular elliptical orbits, Galaxies are composed of billions of stars, Clouds, filaments, and walls are structures within galaxies.
The Milky Way is indeed a spiral galaxy, which means it has a flat disk-like structure with a central bulge and spiral arms. It is one of the many galaxies in the observable universe, each of which contain billions of stars, dust, and gas. Our Sun is one of these stars, located in the outer reaches of the Milky Way's disk. The Sun is the center of our solar system, and Earth and most of the other planets orbit around it in nearly circular elliptical orbits.
Galaxies can have various shapes, ranging from elliptical to spiral, and their structures can be described as clouds, filaments, and walls. Clouds refer to large concentrations of gas, dust, and stars that are loosely bound together. Filaments are elongated structures composed of gas, dust, and dark matter, and walls are large, dense regions of stars and galaxies that are separated by voids. These structures are important in our understanding of how galaxies form and evolve over time.
The statement "The Sun is not part of the Milky Way" is incorrect. The Sun is part of the Milky Way galaxy.
The statement "Earth rotates around the Sun, which is the reason we see the Sun rise and set" is incorrect. Earth rotates on its axis, which causes the appearance of the Sun rising and setting. The Earth's orbit around the Sun is much slower and causes the changing of the seasons, not the daily rising and setting of the Sun.
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The complete question is:
You have learned where Earth is in relation to the sun, other planets and galaxies. Based on what you learned, select all of the correct statements from the following list. The Milky Way is a spiral galaxy. The sun is a star. The sun is not part of the Milky Way. Earth and most of the other planets orbit the sun in nearly circular elliptical orbits. Clouds, filaments, and walls are structures within galaxies. Earth rotates around the sun, which is the reason we see the sun rise and set. Galaxies are composed of billions of stars.
why does fabric convertible roof flow upward
The fabric of the convertible roof of the car flows upward as the The air pressure inside the car is greater than the pressure outside.
The Bernoulli's equation, as we are all aware, states that for a fluid flowing without resistance or turbulence, the product of the fluid's kinetic energy density, gravitational potential energy density, and pressure P is a constant.
The following is what the Bernoulli equation for airflow over and around any surface says. Lower velocity air flow regions have higher pressure and the contrary. Consider the fact that the air is travelling at varying rates both outside and inside the convertible. The air inside the convertible is moving more quickly than the air outside.
A pressure zone is produced as a result of the difference in pressures between the convertible's interior and exterior. The convertible roof bulged upwards, which is why this area, which is placed just below the surface of the roof, is there.
The question is incomplete. The complete question is 'Why does the fabric convertible roof of the car flow upward when the car is moving?'
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consider a copper rod that is 3.14 meters long, 2 cm in diameter, and has an electrical resistivity of 2x10-6 ohm-cm. what is the electrical resistance of the rod? consider a copper rod that is 3.14 meters long, 2 cm in diameter, and has an electrical resistivity of 2x10-6 ohm-cm. what is the electrical resistance of the rod? 5x10-5 ohm 2x10-4 ohm 2x10-6 ohm 5x10-6 ohm
The electrical resistance of the rod is approximately A: 5x10^-5 ohm.
The Electrical Resistance of a Rod can be Calculated using the following Formula:R = ρ * L / A,
where R is the resistance, ρ is the electrical resistivity, L is the length, and A is the cross-sectional area.
Using this formula:
A = π * (d/2)^2, where d is the diameter
R = 2x10^-6 * 3.14 * 10^2 / (π * (2/2)^2)
R = 2x10^-6 * 3.14 * 10^2 / (π * 1)
R = 2x10^-6 * 314 / π
R = 2 * 314 / (π * 10^-6)
R ≈ 5x10^-5 ohm
So, the electrical resistance of the rod is 5x10^-5 ohm.
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Why are Cepheid variable stars important to astronomers? How is the information they impart any more or less useful than using stellar parallax?
Cepheid variable stars are important to astronomers because their periods of variability are related to their absolute luminosity.
A Cepheid variable is a particular kind of variable star that pulses radially and undergoes changes in temperature and diameter. With a well defined, constant period and amplitude, its brightness varies. Cepheid variable stars are a unique class of variable star because they are hot, massive, and have a propensity to pulse radially. They also have a tendency to change in diameter and temperature.
An objective way to quantify the radiant power that a light-emitting device emits over time is luminosity. The total quantity of electromagnetic energy released by a star, galaxy, or other celestial object in a given amount of time is measured as luminosity in astronomy.
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the driver of a car traveling at 25 m/s hits the gas pedal so that the car accelerates at 2 m/s2. find the speed of the car 5 s later
The speed of the car after 5 seconds will be 35 m/s, if the initial speed of the car is 25 m/s and acceleration is 2 m/s²
The speed of an object is defined as the distance travelled by the object in unit time. It is a scaler quantity.
Let the Initial speed of the car, u = 25 m/s
Time, t = 5 sec
Acceleration, a = 2 m/s²
Let the velocity of the car after 5 sec, = v
With the help of the first equation of motion, v = u + at
v = 25 + 2 × 5
v = 35 m/s.
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most swimmers find the pressure at a depth of about 10 ft painful to ears. what is the gauge pressure at this depth
The vapor pressure of water at room temperature is 0.2 psi absolute pressure (or -14.5 gauge pressure).
What is the definition of 10 foot water pressure?433 4.33 kilograms per square inch
A pressure of 10 X. 433 4.33 pounds per square inch would be exerted by ten feet of water. The same height-pressure relationship is true regardless of the area of the vertical liquid column. If the density of the liquid is known, the pressure exerted by it may be computed in the same way.
So the pressure due to the water column would be 43.2 psi at 100 feet deep. Add extra 14.5 psi to account for atmospheric pressure. And the total (absolute) pressure is around 57.7 psia
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an object is subjected to an applied upward force of 10 lbf. the only other force acting on the object is the force of gravity. the acceleration of gravity is 32.2 ft/s2. if the object has a mass of 50 lb, determine the net acceleration of the object, in ft/s2. is the net acceleration upward or downward?
Net acceleration of an object refers to the total acceleration experienced by the object, taking into account all the forces acting on it.
It is the vector sum of all the individual accelerations caused by each force.
Net acceleration represents the rate of change of velocity of an object and determines the direction and magnitude of its motion.
If the net acceleration is upward, the object is accelerating upward, and if it is downward, the object is accelerating downward.
Net acceleration can be calculated using Newton's Second Law of Motion:
Force upward is 10 lbf
A = F/m = 10/50 = 0.2 m/s2 = 0.656 ft/s^2 of upward acceleration.
Downward acceleration = 32.2 feet per second.
Net acceleration is equal to g - a, which is 32.2 ft/s^2 - 0.656 ft/s2 = 31.544 ft/s^2.
Net downward acceleration is present.
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18. in an early set of experiments (1911), millikan observed that the following measured charges, among others, appeared at different times on a single oil drop. what value of ele- mentary charge can be deduced from these data? a. 6.563 x b. 8.204 x c. 11.50 x d. 13.13 x e. 16.48 x 1o19c 10- 19 c 10- 19 c 10- 19 c 1o19c f. 18.08 x 10- 19 c g. 19.71 x 10- 19 c h. 22.89 x 10- 19 c i. 26.13 x 10.- 19 c
Based on Millikan's experiments and later studies, the most accurate value for the elementary charge is known to be 1.60 x 10^-19 C. Therefore, the correct answer is (g) 19.71 x 10^-19 C.
Robert Millikan performed experiments in 1911 to measure the charge on a single oil drop by measuring the change in its electric potential due to an applied electric field. He found that the charges on the oil drops were integer multiples of a fundamental unit of charge, which is now known as the elementary charge.
From the data in the question, we can deduce that the elementary charge is equal to one of the values listed in the answer choices.
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both segments of the wire are made of the same metal. current i1 flows into segment 1 from the left. how does current i1 in segment 1 compare to current i2 in segment 2?
The current i1 in segment 1 is equal to the current i2 in segment 2.
The current in each segment of a wire depends on the resistance of that segment. If both segments of the wire are made of the same metal, they have the same electrical resistance, and therefore the same current will flow through each segment.
The quantity of current that flows through a length of wire in an electrical circuit is controlled by Ohm's law, which states that the current in a circuit is directly proportional to the voltage across the circuit and inversely proportional to the resistance of the circuit.
If the voltage across the two segments of wire is the same and the resistance of each segment is the same, then the current flowing through each segment will also be the same.
This is because the same amount of electrical energy is being supplied to each segment, and since each segment has the same resistance, the same amount of current will flow through each segment in order to meet the same energy requirements.
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when a 1.00-kg mass is suspended from a spring, the spring stretches by .050 m. if the suspended mass oscillates in simple harmonic motion, its period will be approximately
The required time period of the mass suspended from the spring is calculated to be 0.446 s.
The spring is said to be stretched by 0.050 m (x).
The mass suspended from the spring is 1 kg (m).
The suspended mass oscillates in simple harmonic motion.
Its time period T =?.
Let us find out the force constant of the spring.
k = F/x = m g/x = (1× 10)/0.050 = 200 N/m
Now, if the mass of 1 kg is suspended by the spring, then the period of oscillation, we know the formula,
T = 2π√(m/k)
where, m is mass
k is spring constant
Putting in the values,
T = 2π√(m/k) = 2π√(1/200) = 2π × 0.071 = 0.446 s
Thus, the required time period is calculated to be 0.446 s.
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A 650 KW power engine of a vehicle of
mass 1.5 * 105 Kg is rising on an inclined plane of inclination
1 in 100 with a constant speed of 60 km/hr. Find the frictional
force between the wheels of the vehicle and the plane.
The frictional force between the wheels of the vehicle and the plane is 14.7 N.
Find the frictional force between the wheels of the vehicle and the plane?Frictional Force = mgsin(angle)Frictional Force = (1.5 * 105 kg)(9.8 m/s2)sin(1°)Frictional Force = 1470 NThe frictional force between the wheels of the vehicle and the plane is given by the equation:Ff = μmgcosθwhere μ is the coefficient of friction, m is the mass of the vehicle, g is the acceleration due to gravity, and θ is the inclination of the plane.In this case, the mass of the vehicle is 1.5 * 105 Kg, the acceleration due to gravity is 9.8 m/s2, and the inclination of the plane is 1 in 100, or 0.01 radians.Therefore, the frictional force can be calculated as follows:Ff = μ * 1.5 * 105 * 9.8 * 0.01Ff = 14.7 NThis force is necessary to ensure that the vehicle maintains its constant speed of 60 km/hr while travelling up the inclined plane.This frictional force must be greater than the force needed to overcome the gravitational force of the vehicle, otherwise the vehicle will start to slow down.To learn more about The frictional force refer to:
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a car starts from rest and accelerates with a constant acceleration of 1.00 m/s2 for 3.00 s. the car continues for 6.00 s at constant velocity. how far has the car traveled from its starting point?
The car will have traveled a total of 18 meters from its starting point. This can be calculated using the equation for displacement, s = ut + 0.5at^2, where u is the initial velocity (in this case 0 m/s), a is the acceleration (1.00 m/s2) and t is the time traveled (6.00 s).
Plugging in the given values into the equation, we get s = 0 + 0.51.006.00^2 = 18 m.
This equation can be used to calculate the displacement of an object over any period of time, as long as the acceleration and initial velocity are known. Additionally, it can be used to determine the average speed of the object over a given period of time.
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terry runs five miles every morning. how many yards does he run?
Terry runs 8800 yards, if he runs five miles every morning.
1 mile is equals to 1760 yeards
1 mile = 1760 yards
So 5 miles = 1760 × 5 = 8800 yards
So he runs 8800 yards every morning.
Miles: A mile is a unit of length or distance in the imperial and US customary systems of measurement. It is currently described as 1760 yards, 5,280 feet, or exactly 1,609.344 meters. It is denoted by mi or m.
Yards: This is a unit of measurement which is equal to 3 feet or 91.4 cm. This unit is mostly used by English-speaking countries.
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A ga at a temperature of 50°C i under a preure of 700 MM Hg what will the preure be at 30°C auming the volume tay contant
The pressure will 657 MM Hg.
The relationship between pressure and temperature for a fixed volume of an ideal gas can be described by the Ideal Gas Law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin.
P1 = (700 mm Hg) x (101.3 kPa / 1 mm Hg) = 70,910 Pa
T1 = (50 + 273.15) K = 323.15 K
T2 = (30 + 273.15) K = 303.15 K
P2 = (70,910 Pa) x (303.15 K / 323.15 K) = 65,688 Pa
Therefore, the pressure at a temperature of 30°C while keeping the volume constant would be 65,688 Pa, which is equivalent to 657 mm Hg.
Since the volume is constant in this case, we can see that the pressure is directly proportional to the temperature. Therefore, if we decrease the temperature by 20°C, the pressure will also decrease by a factor of (T2/T1)(1-γ), where γ is the adiabatic index of the gas. In reality, the pressure will not decrease exactly as calculated using the Ideal Gas Law, since the gas is not an ideal gas and the volume may not remain constant. However, the Ideal Gas Law provides a useful approximation in many situations.
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Identity the various levels of atmosphere
given scientists' current understanding of the formation of the moon, how might the composition of the moon compare to that of the earth?
The composition of the moon is the same as that of the earth, both are made up of basalt.
The composition of the moon surface by weight is roughly 43.16% oxygen, 20.63% silicon, 19.45% magnesium, 10.35% iron, 3.36% calcium, 3% aluminum, 0.42% chromium, 0.18% titanium and 0.12% manganese.
The moon has only a very thin layer of atmosphere, so a layer of dust or a footprint can sustain their for centuries. And due to the absence of an atmosphere, heat is not held near the surface, so temperatures changes wildly. The temperatures of daytime on the sunny side of the moon reach 273° F (134°C), and in the night side, it gets as cold as -243° F(-153°C).
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what is the value of 3.43 in a.m.u (1 a.m.u = 1.66 × 10^-27)
water flows through a horizontal pipe at a speed of 15 m/s and pressure 4105 pa. the pipe widens and the water speed drops to a 5 m/s. what is the pressure in the wider section of the pipe?
The pressure in the wider section of the pipe is 104105 pa.
Velocity at the thinner section, v₁ = 15 m/s
Velocity at the wider section, v₂ = 5 m/s
The pressure at the thinner section, p₁ = 4105 pa
Let the pressure at the thinner section, = p₂
Density of water, ρ = 1000 kg/m³
By applying Bernoulli's theorem for horizontal pipe
h₁ + p₁ + 0.5ρv₁² = h₂ + p₂ + 0.5ρv₂²
For horizontal pipe h₁ = h₂
4105 + 0.5×1000×15² = p₂ + 0.5×1000×5²
p₂ = 4105 + 112500 - 12500
On solving p₂ = 104105 pa
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two objects, with different sizes masses and tempratures are placed in thermal contact. in which direction does the energy tracel
Two objects, with different sizes, masses, and temperatures are placed in thermal contact. The direction of flow of energy is from the hotter body to the cooler body.
Heat is a form of energy that gets transformed from one body to another. This transfer of energy in the form of heat or thermal contact mainly occurs from the body with more heat energy or higher temperature to the body with lower heat energy or low temperature. Suppose a hotter body and a cooler body are kept in contact with each other, then heat flows from the hotter to the cooler body. Hence when two objects with different temperatures are placed in thermal contact, then heat energy flows from the object with a higher temperature to the object with having a lower temperature. Different sizes and masses do not matter in the heat or energy flow.
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Explain what happens when a current flows in the low-current circuit (it is related to electromagnets)
Answer: A current flowing in a low-current circuit can generate an electromagnet. Electromagnets work by using an electric current to produce a magnetic field. When a current flows in a low-current circuit, it creates a magnetic field around the wire that is proportional to the amount of current flowing through the wire. This magnetic field can then be used to generate useful work, such as lifting a heavy object or generating a magnetic field for other purposes.
In a low-current circuit, the magnetic field produced is relatively weak compared to other types of electromagnets, but it still serves a purpose. For example, it can be used in relays, switches, and other electrical components that require a small amount of magnetic force to operate. Additionally, low-current circuits can be used to generate low-power signals or to create small, specialized electromagnets.
Overall, the generation of an electromagnet in a low-current circuit demonstrates the relationship between electrical current and magnetic fields, and highlights the importance of electromagnetism in a wide range of applications and technologies.
Explanation:
can generate an electromagnet.
MY
Explanation:
a force vector has a magnitude of 588 newtons and points at an angle of 37o below the positive x axis. what are (a) the x scalar component and (b) the y scalar component of the vector?
The force vector that has a magnitude of 588 newtons and points at an angle of 37 has the followings components:
v(x) =469.59 Nv(y) = 353.86 NWhat is a vector?It can be said to be a straight line described by a point (a) and (b) that has direction and sense.
To solve this exercise the formulas and procedures we will use are:
v(x) = v * cosine (angle)v(y) = v * sine (angle).Where:
v= magnitude of the vectorv(x) = component of the vector on the (x) axisv(y) = component of the vector on the (y) axisInformation about the problem:
angle = 37ºv = 588 Nv(x)= ?v(y)= ?Applying the formula of the component of the vector in the (x) axis we have:
v(x) = 588 N * cosine (37º)
v(x) =469.59 N
Applying the formula of the component of the vector in the (y) axis we have:
v(y) = 588 N * sine (37º)
v(y) = 353.86 N
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Consider a force F = 80 N applied to a beam as shown in Fig. 8-37. The length of the beam is = 5.0 m, and 0 = 37°, so that x = 3.0m and y = 4.0 m. Of the following expressions, which ones give the correct torque produced by the force F around point P? (a) 80 N.(b) (80 N)(5.0 m).(c) (80 N)(5.0 m) (sin 37°).(d) (80 N)(4.0 m).(e) (80 N)(3.0 m).(f) (48 N)(5.0 m).(g) (48 N)(4.0 m) (sin 37°).
The math demonstrates that all three torques are equivalent.(80 N)(5.0 m)(sin 37∘)).(48 N)(5.0 m) (5.0 m).(80 N)(3.0 m) (3.0 m).
Three different approaches to express the torque are demonstrated by equations such. = rFsin. It can be the sine of the angle between them, the product of the force, the lever arm, and the response (c). It may be the result of the force and the part of the lever arm that is perpendicular to the force, as in answer (e). Another way to write it is as the sum of the force parallel to the lever arm and the lever arm, as in the following response (f). The math demonstrates that all three torques are equivalent.
(80 N)(5.0 m)(sin 37∘)).
(48 N)(5.0 m) (5.0 m).
(80 N)(3.0 m) (3.0 m).
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1.5 kg apple falls from a height of 2.0 m onto a spring scale. The scale’s spring constant is k = 1.5x105 N/m. At maximum compression, what is the reading on the scale?Group of answer choices3.0 x 103 N15 N2.1 x 103 N30 N1.5 x 103 N
The reading on the scale at its greatest compression is calculated to be 3,000 N.
The reading of the scale at the greatest compression is determined by applying the principle of conservation of energy.
The greatest compression of the scale occurs when the potential energy of the object at the given height falls on the scale.
Mathematically, the formula for potential energy of an object is given as,
P.E = m g h
where;
m is the mass of the object
g is acceleration due to gravity
h is the height of fall of the object
P.E = (1.5 kg × 9.8 × 2)
P.E = 29.4 J
P.E = ¹/₂ k x²
where;
x is the compression of the spring
k is the spring constant
x² = 2 P.E / k
x = √ ( 2 P.E / k )
x = √ ( 2 × 29.4 / 150000 )
x = 0.02 m
The reading of the scale is calculated as follows;
F = k x
F = 150,000 × 0.02
F = 3,000 N
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Which of the following equations has four roots?
4x 3+8x-4=0
5x 4+x-7=0
(x-4)(x+2)(x-7)=0
The equation that has four roots is: (x-4)(x+2)(x-7)=0
How can I find the root of an equation?
To find where the function intersects the x-axis, set f(x)=0 and solve the equation for x. If the function is a linear function of degree 1, f(x)=mx+b and the x-intercept is the root of the equation found by solving the equation for x.
The equation that has four roots is: (x-4)(x+2)(x-7)=0
This is a polynomial equation of degree 3, and it has 4 roots x = 4, x = -2, and x = 7.
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how nonrenewable energy resources uses have changed over the past 30 years?
Answer:
Explanation:
The use of nonrenewable energy resources, such as coal, oil, and natural gas, has changed significantly over the past 30 years. Some key changes include:
Increased use of natural gas: The use of natural gas as an energy source has increased significantly in recent years, due to the development of new technologies that have made it easier and more cost-effective to extract and transport natural gas. This has led to a decrease in the use of coal as an energy source, as natural gas is cleaner and more efficient.Increasing use of renewable energy sources: Over the past 30 years, there has been a growing focus on renewable energy sources, such as wind, solar, and hydro power, as a way to reduce the dependence on fossil fuels and lower greenhouse gas emissions. The growth of renewable energy sources has been supported by government policies, technological advances and decreasing costs.Increase in the use of electric cars: Electric cars are becoming increasingly popular in recent years and this is expected to continue as the technology improves and the cost of batteries decreases. Electric cars are more energy-efficient and have lower emissions than traditional gasoline cars.Changes in oil consumption: The consumption of oil for transportation has decreased over the past 30 years due to more efficient vehicles and more use of biofuels. However, oil consumption for electricity generation and industrial use has remained relatively constant.Overall, the past 30 years have seen a shift away from traditional fossil fuels towards cleaner and more sustainable energy sources, driven by concerns about climate change and environmental degradation.
in highway traffic flow studies, it is found that the average speed (miles per hour) depends on the 1d density of cars (vehicles per mile, or passenger cars per mile per lane (pcpmpl)). from the plot it is seen that there are two linear regions. below a density of 50 vpm the speed is nearly constant, and above it decreases linearly with density. a. assume each car carries a charge of 1 mc. what is the current at 50 vpm?
The current in a highway traffic flow study at a density of 50 vehicles per mile (vpm) or passenger cars per mile per lane (pcpmpl) can be calculated by dividing the charge of each car by the average speed. Assuming each car carries a charge of 1 mc, the current at 50 vpm would be calculated as follows:
Current = 1/Average Speed
At 50 vpm, the average speed is nearly constant, so the current would be equal to 1/Average Speed. This can be simplified to 1/50, so the current at 50 vpm would be 0.02 mc.
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