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A 10 N force is applied to move an object 3 m. What is the work done if the forc
A 10 N force is applied to move an object 3 m. What is the work done if the force is applied at an angle of 60 degrees to the direction of motion?
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A 10 N force is applied to move an object 3 m. What is the work done if the force is applied at an angle of 60 degrees to the direction of motion?
15 J
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Work done = Force × Distance × cos(θ) = 10 N × 3 m × cos(60°) = 10 N × 3 m × 0.5 = 15 J
Questions & Step-by-step Solutions
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Q
Q: A 10 N force is applied to move an object 3 m. What is the work done if the force is applied at an angle of 60 degrees to the direction of motion?
Solution:
Work done = Force × Distance × cos(θ) = 10 N × 3 m × cos(60°) = 10 N × 3 m × 0.5 = 15 J
Steps: 8
Show Steps
Step 1: Identify the force applied to the object, which is 10 N.
Step 2: Identify the distance the object moves, which is 3 m.
Step 3: Identify the angle at which the force is applied, 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 formula: Work = 10 N × 3 m × 0.5.
Step 8: Calculate the work done: Work = 10 × 3 × 0.5 = 15 J.
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