Question Detail

PHY 101 Work, Energy and Power Objective Question
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Question

In Example 7(b), with friction (μ_k = 0.15), what is the speed of the crate at the bottom of the ramp?
Options
A 3.1 m/s
B 2.7 m/s
Correct Answer
C 2.5 m/s
D 0.5 m/s
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using W_nc = ΔKE + ΔPE. The work done by friction is -μ_k mg cosθ d. So -μ_k mg d cosθ = ½mv_f² - mgy_i. Solving for v_f: v_f = √(2g(y_i - μ_k d cosθ)) = √(2×9.8×(0.5 - 0.15×1×0.866)) = √(19.6×0.37) = √7.25 ≈ 2.7 m/s.

Hint

Friction does negative work, reducing the final kinetic energy.

Question Info

Course: PHY 101
Topic: Work, Energy and Power
Type: Objective
Difficulty: Not specified
Question 404 of 1250
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