What is the work done on cart by the string?

In summary, a cart of mass 6 kg is attached to a block of mass 3 kg by a string over a frictionless pulley. The system is initially at rest on a frictionless table. After the block falls 1 m, the work done on the cart by the string can be calculated using the equation Ws = F(cosθ)d. The total work done can be found using the equation ΔKE = Wsystem = Wg(M2) = Fgh = M2gh. The velocity and acceleration of the cart are the same as the block, and the tension in the string is equal for both objects. To find the final expression for the work done on the cart, one must consider the relationships between force,
  • #1
Akewal
2
1

Homework Statement


A cart of mass M1 = 6 kg is attached to a block of mass M2 = 3 kg by a string that passes over a frictionless pulley. The system is initially at rest and the table is frictionless. After the block has fallen a distance h = 1 m:

What is the work Ws done on the cart by the string?
Ws =

Homework Equations


Work done by F = F(cosθ)d
Work done total = ΔKE object
KE = 1/2mv^2
Wsystem = Wg(M2) = Fgh = M2gh

The Attempt at a Solution


I know that the velocity and acceleration of cart must be the same as velocity and acceleration of block. I also know that the tension of the cart and block should be equal. But how do you come up with the final expression to find the work done on the cart by the string.
 
Physics news on Phys.org
  • #2
Hello again, hope you benefited from earlier assistance ... :rolleyes:

In this case you should post your work -- I suspect you already have worked out quite a bit of what's needed for this exercise :smile:
 

1. What is the work done on the cart by the string?

The work done on the cart by the string is the energy transferred to the cart by the force applied by the string. This work is equal to the force applied multiplied by the distance the cart moves in the direction of the force.

2. How is the work done on the cart by the string calculated?

The work done on the cart by the string is calculated using the formula W = Fd, where W is the work done, F is the force applied by the string, and d is the distance the cart moves in the direction of the force.

3. Can the work done on the cart by the string be negative?

Yes, the work done on the cart by the string can be negative if the force and displacement are in opposite directions. This means that the string is applying a force in the opposite direction of the motion, resulting in negative work.

4. How does the work done on the cart by the string affect the cart's motion?

The work done on the cart by the string contributes to the cart's kinetic energy, which affects its motion. If positive work is done, the cart's kinetic energy increases and it speeds up. If negative work is done, the cart's kinetic energy decreases and it slows down.

5. Can the work done on the cart by the string be changed?

Yes, the work done on the cart by the string can be changed by altering either the force applied by the string or the distance the cart moves. Increasing the force or the distance will result in an increase in work, while decreasing them will result in a decrease in work.

Similar threads

Finding the work done by a block
    • Introductory Physics Homework Help
Replies
4
Views
1K
Work done on a shopping cart by friction when being pushed
    • Introductory Physics Homework Help
Replies
4
Views
2K
Tension from two carts & hanging object on pulley
    • Introductory Physics Homework Help
Replies
7
Views
3K
Work Done by Gravity and Tension in a Pulley System
    • Introductory Physics Homework Help
Replies
3
Views
1K
Work done by a force down a ramp
    • Introductory Physics Homework Help
Replies
11
Views
1K
Object causing another object to move with zero friction
    • Introductory Physics Homework Help
Replies
3
Views
1K
Impulse and Momentum: Ball and cart connected by a cord
    • Introductory Physics Homework Help
Replies
24
Views
2K
Work done on two cart system with spring
    • Introductory Physics Homework Help
Replies
8
Views
5K
Calculating Distance Traveled by Cart with Sliding Block
    • Introductory Physics Homework Help
Replies
9
Views
2K
Man Jumps Horizontally: Work Done by Man
    • Introductory Physics Homework Help
Replies
12
Views
4K

Hot Threads

Recent Insights

Back
Top