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If a 10 N force is applied at an angle of 60 degrees to the horizontal while mov
If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 4 m, what is the work done? (2020)
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If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 4 m, what is the work done? (2020)
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Work done = Force × Distance × cos(θ) = 10 N × 4 m × cos(60°) = 10 N × 4 m × 0.5 = 20 J
Questions & Step-by-step Solutions
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Q: If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 4 m, what is the work done? (2020)
Solution:
Work done = Force × Distance × cos(θ) = 10 N × 4 m × cos(60°) = 10 N × 4 m × 0.5 = 20 J
Steps: 8
Show Steps
Step 1: Identify the force applied, which is 10 N.
Step 2: Identify the distance the object is moved, which is 4 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 × 4 m × cos(60°).
Step 6: Calculate cos(60°), which is 0.5.
Step 7: Substitute cos(60°) into the equation: Work = 10 N × 4 m × 0.5.
Step 8: Calculate the work done: Work = 10 × 4 × 0.5 = 20 J.
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