We did a lab where we leveled a horizontal track and used a massless frictionless pulley...
We did a lab where we leveled a horizontal track and used a massless frictionless pulley system with a weight to pull a cart and measured the potential vs kinetic energy of the closed system to find a slope of -1 when graphed.
Why is leveling the track so important? How and why would your results be affected if the track were not level?
If we did the experiment again and at the time that the cart is being pulled by the falling mass on the pulley you also push the cart with your finger for the entire motion. Youexamine the values for velocity and deltaH and calcualte the kinetic and potential energy. Would mechanical energy still be conserved? Why or why not?
Homework Answers
In this experiment the slope of Potential and kinetic energies of the closed system is 1 since the only external force i.e. gravitational force is conservative in nature. Hence , in this case the mechanical energy of the system will remain conserved.
leveling is important to avoid the force applied on the system by the surface due to unevenness of the track. The force exerted by the jerks from the surface will not be conservative in nature. SO, if the surface is not leveled the energy wont remain conserved.
If external force is applied through hand the total mechanical energy will not be conserved since force applied from hand will be non conservative in nature.
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We did a lab where we leveled a horizontal track and used a
massless frictionless pulley...
There are two graphs that needs to be made in this lab: 1. Total Energy Vs...
There are two graphs that needs to be made in this lab:
1. Total Energy Vs time with m = 20g
2. Total Energy Vs time with m = 40g
A) Explain the nature of the plots .(Linear or non
linear?) The expected slope is zero in both cases. Why? Explain
with the use of law of conservation of energy. What is the
significance of the intercept?
B) Suppose you drew the Kinetic Energy Vs potential
Energy graph: The expected...
A small block on a frictionless, horizontal surface has a mass of 0.0260 kg. It is attached to a massless cord pass...
A small block on a frictionless, horizontal surface has a mass
of 0.0260 kg. It is attached to a massless cord passing through a hole in the
surface (see figure below). The block is originally revolving at a
distance of 0.320 m from the hole with an angular speed of 1.90rad/s.
The cord is then pulled from below, shortening the radius of the
circle in which the block revolves to 0.160 m. Model the block as a particle.(a) Is angular...
A 0.45 kg object rests on a frictionless horizontal surface, where it is attached to a...
A 0.45 kg object rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 24.0 N/m. Let x be the displacement, where x = o is the equilibrium position and x > 0 when the spring is stretched. The object is pushed, and the spring compressed, until хі =-4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a) What is the object's maximum speed (in m/s) after it is...
A 5.0-kg carl (cart 1) rolling cast on a level, frictionless track at 18.0 m/s, collides...
A 5.0-kg carl (cart 1) rolling cast on a level, frictionless track at 18.0 m/s, collides with a stationary 4.0-kg cart (cart 2). After the collision, cart 1 is still rolling cast, but now at a speed of 2.0 m/s. (a) Assuming the total momentum of the two-cart system is conserved, calculate the final velocity of the second cart. (b) Before the collision, the system's total kinetic energy was 810 J. Calculate the total kinetic energy of the two-cart system...
A small block on a frictionless horizontal surface has a mass of 0.0280 kg . It is attached to a massless cord passing...
A small block on a frictionless horizontal surface has a mass of
0.0280 kg . It is attached to a massless cord passing through a
hole in the surface. (See the figure below (Figure 1) .) The block
is originally revolving at a distance of 0.310 m from the hole with
an angular speed of 1.80 rad/s . The cord is then pulled from
below, shortening the radius of the circle in which the block
revolves to 0.115 m ....
A 0.45 kg object rests on a frictionless horizontal surface, where it is attached to a...
A 0.45 kg object rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 24.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The object is pushed, and the spring compressed, until x, =-4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a) What is the object's maximum speed (in m/s) after it is...
how do i find H, and how do i use the equation on the 4 question...
how
do i find H, and how do i use the equation on the 4 question to
find Ei and Ef
where m is the mass of the hanging mass, M is the mass of the Smart Cart, h is the height of the hanging mass above the floor, H is the height the Smart Cart (mass M) climbs up the track, and v the velocity of the Smart Cart in the instant when the hanging mass is about to...
6. An air-track glider is connected to an ideal spring and can oscillate back and forth on the fr...
6. An air-track glider is connected to an ideal spring and can oscillate back and forth on the frictionless surface of the track. The potential energy function of the spring/glider system is U(x) 2.024.0 1.0 in Joules. Here represents the position of the center of the glider in meters. The graph of this function is provided. The y-axis is in Joules and the x- axis is in meters. a. What is the a-coordinate of the center of the glider when...
Conservation of energy In the examples you have examined in this lab, as the coaster travels...
Conservation of energy In the examples you have examined in this lab, as the coaster travels down the track its gravitational potential energy decreases, and its kinetic energy increases. At any point along the path of the coaster, the potential energy plus the kinetic energy add up to the same value. In the absence of friction and air resistance, we find that the total energy (kinetic plus potential) stays the same. For this reason, physicists call the total energy a...
Procedure: Materials: 1. apparatus 2. 2 pieces of metal track 3. plastic or metal ball 4....
Procedure: Materials: 1. apparatus 2. 2 pieces of metal track 3. plastic or metal ball 4. timer 5. meter stick 6. micrometer 7. 2 photogates Assemble your ramp as shown in Figure (1) in the next page. Then set up photogates in location 2 and 3. Measure the diameter (in m) of the metal balls (you will need it for speed calculations). Then, measure the weight (mass) of the ball (in kg). To have a better measurement of the time,...
There are two graphs that needs to be made in this lab:
1. Total Energy Vs time with m = 20g
2. Total Energy Vs time with m = 40g
A) Explain the nature of the plots .(Linear or non
linear?) The expected slope is zero in both cases. Why? Explain
with the use of law of conservation of energy. What is the
significance of the intercept?
B) Suppose you drew the Kinetic Energy Vs potential
Energy graph: The expected...
A small block on a frictionless, horizontal surface has a mass
of 0.0260 kg. It is attached to a massless cord passing through a hole in the
surface (see figure below). The block is originally revolving at a
distance of 0.320 m from the hole with an angular speed of 1.90rad/s.
The cord is then pulled from below, shortening the radius of the
circle in which the block revolves to 0.160 m. Model the block as a particle.(a) Is angular...
A 0.45 kg object rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 24.0 N/m. Let x be the displacement, where x = o is the equilibrium position and x > 0 when the spring is stretched. The object is pushed, and the spring compressed, until хі =-4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a) What is the object's maximum speed (in m/s) after it is...
A 5.0-kg carl (cart 1) rolling cast on a level, frictionless track at 18.0 m/s, collides with a stationary 4.0-kg cart (cart 2). After the collision, cart 1 is still rolling cast, but now at a speed of 2.0 m/s. (a) Assuming the total momentum of the two-cart system is conserved, calculate the final velocity of the second cart. (b) Before the collision, the system's total kinetic energy was 810 J. Calculate the total kinetic energy of the two-cart system...
A small block on a frictionless horizontal surface has a mass of
0.0280 kg . It is attached to a massless cord passing through a
hole in the surface. (See the figure below (Figure 1) .) The block
is originally revolving at a distance of 0.310 m from the hole with
an angular speed of 1.80 rad/s . The cord is then pulled from
below, shortening the radius of the circle in which the block
revolves to 0.115 m ....
A 0.45 kg object rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 24.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The object is pushed, and the spring compressed, until x, =-4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a) What is the object's maximum speed (in m/s) after it is...
how
do i find H, and how do i use the equation on the 4 question to
find Ei and Ef
where m is the mass of the hanging mass, M is the mass of the Smart Cart, h is the height of the hanging mass above the floor, H is the height the Smart Cart (mass M) climbs up the track, and v the velocity of the Smart Cart in the instant when the hanging mass is about to...
6. An air-track glider is connected to an ideal spring and can oscillate back and forth on the frictionless surface of the track. The potential energy function of the spring/glider system is U(x) 2.024.0 1.0 in Joules. Here represents the position of the center of the glider in meters. The graph of this function is provided. The y-axis is in Joules and the x- axis is in meters. a. What is the a-coordinate of the center of the glider when...
Conservation of energy In the examples you have examined in this lab, as the coaster travels down the track its gravitational potential energy decreases, and its kinetic energy increases. At any point along the path of the coaster, the potential energy plus the kinetic energy add up to the same value. In the absence of friction and air resistance, we find that the total energy (kinetic plus potential) stays the same. For this reason, physicists call the total energy a...
Procedure: Materials: 1. apparatus 2. 2 pieces of metal track 3. plastic or metal ball 4. timer 5. meter stick 6. micrometer 7. 2 photogates Assemble your ramp as shown in Figure (1) in the next page. Then set up photogates in location 2 and 3. Measure the diameter (in m) of the metal balls (you will need it for speed calculations). Then, measure the weight (mass) of the ball (in kg). To have a better measurement of the time,...
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