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A force of 25 N is applied at an angle of 60 degrees to the horizontal while mov
A force of 25 N is applied at an angle of 60 degrees to the horizontal while moving an object 3 m. What is the work done?
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Practice Questions
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Q1
A force of 25 N is applied at an angle of 60 degrees to the horizontal while moving an object 3 m. What is the work done?
37.5 J
50 J
75 J
100 J
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Work done = Force × Distance × cos(θ) = 25 N × 3 m × cos(60°) = 37.5 J.
Questions & Step-by-step Solutions
1 item
Q
Q: A force of 25 N is applied at an angle of 60 degrees to the horizontal while moving an object 3 m. What is the work done?
Solution:
Work done = Force × Distance × cos(θ) = 25 N × 3 m × cos(60°) = 37.5 J.
Steps: 8
Show Steps
Step 1: Identify the force applied, which is 25 N.
Step 2: Identify the distance the object is moved, 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 = 25 N × 3 m × cos(60°).
Step 6: Calculate cos(60°), which is 0.5.
Step 7: Multiply the values: Work = 25 N × 3 m × 0.5.
Step 8: Calculate the result: Work = 25 × 3 × 0.5 = 37.5 J.
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