Question Detail

PHY 101 Work, Energy and Power Objective Question

Question

An 80-kg crate is pulled 20 m across a level floor by a rope at a 30° angle above the horizontal with a force of 150 N. How much work is performed?
Options
A 1500 J
B 2600 J
Correct Answer
C 3000 J
D 5196 J
Correct Answer

Option B is the correct answer.

Detailed Explanation

The work done is W = F d cos θ. Here, F = 150 N, d = 20 m, and θ = 30°. So, W = 150 × 20 × cos 30° = 3000 × (√3/2) = 3000 × 0.8660 = 2598 J ≈ 2.6 × 10³ J = 2600 J.

Hint

Apply the formula for work done by a constant force at an angle.

Question Info