A student does 300 Joules of work pushing a cart 3.0 meters due East and then do
ID: 2020596 • Letter: A
Question
A student does 300 Joules of work pushing a cart 3.0 meters due East and then does 400 Joules of work pushing the cart 4.0 meters due North. The total amount of work done by the student is 700 J.
1. What is the force of the student on the cart?
_______________________ N
2. What is the force of the cart on the student?
_______________________ N
3. What is the distance the cart has moved?
_______________________ meters
4. What is the magnitude of the displacement of the cart?
________________________meters
Please show all work. Thank you so much.
Explanation / Answer
W = F·d so by inspection the force of the student on the cart is 100 N. That fits because 100 N times 3 meters is 300 joules, and 100 N times 4 meters is 400 joules.
That is also the force of the cart on the student, Newton's 3rd law.
The distance the cart has moved is 7.0 meters. The displacement, though, is the net distance it has moved in space. Since it has moved 3 meters east and 4 meters north, that forms a right triangle and by the Pythagorean theorem the magnitude of the displacement is 5.0 meters.
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