The hanging mass creates a constant tension T that causes the cart (mass m) to accelerate along a horizontal, frictionless track. As the cart moves, you will measure position x, velocity v and tension T. We apply the Work-Energy Theorem for the cart over a given interval (called "initial to final"). In this lab, the work done by gravity will be treated as a work term, not as a change in the associated gravitational potential energy. Question 1: Draw all the forces acting on the cart. Question 2: Write the simplest expression for the work done by each of these forces, in terms of Xi, Xf, Ax, vi, vf, g, and m. If the work done equals zero for this motion, say so. Question 3: Write the theoretical work-to-kinetic-energy equation (AKE = EW) for the cart, by replacing EW with all the non-zero work expressions written above.
The hanging mass creates a constant tension T that causes the cart (mass m) to accelerate along a horizontal, frictionless track. As the cart moves, you will measure position x, velocity v and tension T. We apply the Work-Energy Theorem for the cart over a given interval (called "initial to final"). In this lab, the work done by gravity will be treated as a work term, not as a change in the associated gravitational potential energy. Question 1: Draw all the forces acting on the cart. Question 2: Write the simplest expression for the work done by each of these forces, in terms of Xi, Xf, Ax, vi, vf, g, and m. If the work done equals zero for this motion, say so. Question 3: Write the theoretical work-to-kinetic-energy equation (AKE = EW) for the cart, by replacing EW with all the non-zero work expressions written above.
Transcribed Image Text:You will use work and energy to analyze the motion of a cart moving along a track.
This lab is based on the theory presented in Chapter 9 of the Knight (5th edition) textbook.
Experiment 1 - Cart accelerated along a horizontal track by a hanging mass
Consider the apparatus below.
Motion
sensor
Cart
Force
sensor
String
X
Pulley
Hanging
mass
The hanging mass creates a constant tension T that causes the cart (mass m) to accelerate
along a horizontal, frictionless track.
As the cart moves, you will measure position x, velocity v and tension T.
We apply the Work-Energy Theorem for the cart over a given interval (called "initial to final").
In this lab, the work done by gravity will be treated as a work term,
not as a change in the associated gravitational potential energy.
Question 1: Draw all the forces acting on the cart.
Question 2: Write the simplest expression for the work done by each of these forces,
in terms of X₁, Xf, Ax, vi, vf, g, 0 and m. If the work done equals zero for this motion, say so.
Question 3: Write the theoretical work-to-kinetic-energy equation (AKE = EW) for the cart,
by replacing ZW with all the non-zero work expressions written above.
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