1. Two carts, one twice the mass of the other, experience the same force for the same time. What is their difference in momentum? What is their difference in kinetic energy?

1 answer

Force = change in momentum / change in time
if force the same and time the same
then
change in momentum the same (answer to first question)

f = m v /t
f = 2 m V /t
so
V = v/2

Ke of little mass = (1/2) m v^2
Ke of big mass = (1/2) 2m v^2/4
=(1/2)m v^2/2
so
Ke of big mass = 1/2 of Ke of little mass