A boxcar of mass 200 tons at rest becomes uncoupled on a 1.5 $\degree$grade. If the track is considered to be frictionless, what speed does the boxcar have after 10 seconds?
A) 0.37 m/s
B) 0.59 m/s
C) 2.6 m/s
D) 4.3 m/s

Question

Quizplus · Accepted Answer

The boxcar accelerates due to gravity along the incline. The acceleration can be calculated using the component of gravitational acceleration along the incline: a = g * sin(θ). For a 1.5° incline, a ≈ 9.8 * sin(1.5°) ≈ 0.256 m/s². Using the formula v = u + at, where u = 0, a = 0.256 m/s², and t = 10 s, the speed v ≈ 2.56 m/s.

A Boxcar of Mass 200 Tons at Rest Becomes Uncoupled °\degree°

A Boxcar of Mass 200 Tons at Rest Becomes Uncoupled $\degree$