1. For each question, answer the question and give an explanation using either the Work-Energy Principle,
Work = AE = FAd, or the Impulse-Momentum Theorem, Impulse = Ap= Fat.
(a) A block of mass m is released from rest at the top of
a frictionless incline. The diagram shows equal
distances D₁ and D₂ marked on the incline.
i. During which interval of distance (1 or 2 or
both the same) does the block gain more
kinetic energy?
D₁
i. In which case does the cart gain more KE
from the downhill part?
ii. During which interval of distance (1 or 2 or
both) does the block gain more momentum?
(b) A frictionless cart rolls along a flat track with speed v₁. The cart encounters a brief downhill section,
and then a new flat section. In Case 1, the speed v, is slow. In Case 2, the speed v; is fast.
ii.
In which case does the cart gain more
momentum from the downhill part?