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PhysicsClassical Physics

Inclined Plane: Acceleration and Final Velocity of a 20.0 kg Parcel

Resolve gravity along a 30.0-degree ramp, subtract kinetic friction, and calculate the parcel’s speed after sliding 2 m.

Question

At a post office, a 20.0 kg20.0\,\mathrm{kg} parcel slides down a ramp that makes a 30.0∘30.0^\circ angle with the horizontal. The coefficient of kinetic friction between parcel and ramp is 0.03000.0300.

(a) Determine the parcel's acceleration.

(b) Starting from rest, what is its velocity at the bottom of the 2 m2\,\mathrm{m} ramp?

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Evidence boundary

This answers Chapter 6 Problem 64: 20.0 kg, 30.0 degrees, kinetic coefficient 0.0300, 2 m ramp, and initial rest. It uses g = 9.80 m/s² and the standard constant-kinetic-friction ramp model. The displayed velocity retains calculation precision; strict significant figures depend on the source’s unqualified “2 m.” No static-friction coefficient or measured motion is invented.