Engineers on Mars are testing a rover wheel assembly by sliding a calibration block…
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics
Problem
Engineers on Mars are testing a rover wheel assembly by sliding a 4.5kg calibration block on an adjustable track. The track is tilted until the block is on the verge of slipping at an angle of 35∘ relative to the horizontal. The acceleration due to gravity on Mars is 3.7ms−2. After the critical angle is recorded, the track is further tilted to 40∘ so that the block slides downhill; the coefficient of kinetic friction between the block and the track is measured to be 0.25.
Complete the tasks below.
(a) Determine the coefficient of static friction between the block and the Martian track.
(b) For the 40∘ tilt, calculate the magnitude of the block’s acceleration as it slides down the track. Provide your answer with appropriate units.
(c) Interpret your numerical result from part (b) by comparing the downhill component of gravitational force with the kinetic frictional force at 40∘. Explain why the block accelerates or does not accelerate accordingly.