A uniform crate initially at rest sits on a frictionless horizontal surface

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A uniform crate initially at rest sits on a frictionless horizontal surface. A student exerts the same constant horizontal force

F

for the same time interval in two separate trials. • Trial I: The student pushes at the midpoint of the crate’s vertical face. • Trial II: The student pushes at the top edge of the same face. Assuming the crate does not tip, which of the following correctly compares the change in the crate’s translational kinetic energy

\Delta K_{\text{trans}}

with the work done by the student

W

in each trial? (a) Trial I:

\Delta K_{\text{trans}} = W

Trial II:

\Delta K_{\text{trans}} = W

(b) Trial I:

\Delta K_{\text{trans}} = W

Trial II:

\Delta K_{\text{trans}} < W

\Delta K_{\text{trans}} < W

Trial II:

\Delta K_{\text{trans}} = W

(d) Trial I:

\Delta K_{\text{trans}} = W

Trial II:

\Delta K_{\text{trans}} > W

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