Usethis problem to explore how Force relates to KE andMomentum. Twocarts, A and

ID: 1722807 • Letter: U

Question

Usethis problem to explore how Force relates to KE andMomentum.

Twocarts, A and B, are initially at rest on a horizontal frictionlesstable as shown in the top-view

diagram below. A CONSTANT force with magnitude Fo is exerted oneach cart as it travels

between two marks on the table. Cart B has a greater mass than cartA.

Answer the followingquestions. If you use an equation to help you figure out an answer,show it

or state the theorem youused.

a.) Which cart takes alonger time to travel between the two marks?Explain.

b.) For each cart write anexpression that relates the net Force on the cart to the changein

velocity (!va or !vb) andthe time interval (!ta or !tb)that the cart spends between thecarts.

Show all yourwork.

c.) Is the magnitude of thechange in moment of cart A greater than, less than orequal to the

change in moment of cart B?How do you know?

d.) Is the magnitude of thefinal momentum of cart A (pAf) greater than, less than orequal to the

magnitude of the finalmomentum of cart B (pBf)? Explain how do you know?

e.) How does the net workdone on cart A compare to the net work done on cart B? Explainhow

do youknow?

f.) Which cart, if either,had the greater final kinetic energy? How do youknow?

no picture is necessary to answer this problem

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