If a 10 N force is applied at an angle of 60 degrees to the horizontal while mov

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Question: If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 3 m, what is the work done? (2020)

Options:

Correct Answer: 15 J

Exam Year: 2020

Solution:

Work done = Force × Distance × cos(θ) = 10 N × 3 m × cos(60°) = 10 N × 3 m × 0.5 = 15 J

If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 3 m, what is the work done? (2020)

If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 3 m, what is the work done? (2020)

Step 1: Identify the force applied, which is 10 N.
Step 2: Identify the distance the object is moved, which is 3 m.
Step 3: Identify the angle of the force with respect to the horizontal, which is 60 degrees.
Step 4: Use the formula for work done: Work = Force × Distance × cos(θ).
Step 5: Substitute the values into the formula: Work = 10 N × 3 m × cos(60°).
Step 6: Calculate cos(60°), which is 0.5.
Step 7: Substitute cos(60°) into the equation: Work = 10 N × 3 m × 0.5.
Step 8: Calculate the work done: Work = 10 × 3 × 0.5 = 15 J.

Work Done – Work done 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.
Cosine of Angle – Understanding how to use the cosine function to determine the effective component of the force acting in the direction of motion.