If a force of 15 N is applied at an angle of 60° to the horizontal and moves an

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Question: If a force of 15 N is applied at an angle of 60° to the horizontal and moves an object 4 m, what is the work done? (2021)

Options:

Correct Answer: 45 J

Exam Year: 2021

Solution:

Work done (W) = F × d × cos(θ) = 15 N × 4 m × cos(60°) = 15 N × 4 m × 0.5 = 30 J.

If a force of 15 N is applied at an angle of 60° to the horizontal and moves an object 4 m, what is the work done? (2021)

If a force of 15 N is applied at an angle of 60° to the horizontal and moves an object 4 m, what is the work done? (2021)

Step 1: Identify the force applied, which is 15 N.
Step 2: Identify the distance moved by the object, which is 4 m.
Step 3: Identify the angle at which the force is applied, which is 60°.
Step 4: Use the formula for work done: Work (W) = Force (F) × Distance (d) × cos(θ).
Step 5: Substitute the values into the formula: W = 15 N × 4 m × cos(60°).
Step 6: Calculate cos(60°), which is 0.5.
Step 7: Substitute cos(60°) into the equation: W = 15 N × 4 m × 0.5.
Step 8: Calculate the work done: W = 15 × 4 × 0.5 = 30 J.

Work Done – Work is calculated as the product of the force applied, the distance moved in the direction of the force, and the cosine of the angle between the force and the direction of motion.
Trigonometry in Physics – Understanding how to apply trigonometric functions, specifically cosine, to resolve forces into their components.