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What is the work done by a force of 25 N moving an object 4 m at an angle of 60°
What is the work done by a force of 25 N moving an object 4 m at an angle of 60° to the direction of the force? (2019)
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Q1
What is the work done by a force of 25 N moving an object 4 m at an angle of 60° to the direction of the force? (2019)
50 J
100 J
75 J
25 J
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Work done = F × d × cos(θ) = 25 N × 4 m × cos(60°) = 25 N × 4 m × 0.5 = 50 J.
Questions & Step-by-step Solutions
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Q
Q: What is the work done by a force of 25 N moving an object 4 m at an angle of 60° to the direction of the force? (2019)
Solution:
Work done = F × d × cos(θ) = 25 N × 4 m × cos(60°) = 25 N × 4 m × 0.5 = 50 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 4 m.
Step 3: Identify the angle between the force and the direction of movement, which is 60°.
Step 4: Use the formula for work done: Work = Force × Distance × cos(Angle).
Step 5: Substitute the values into the formula: Work = 25 N × 4 m × cos(60°).
Step 6: Calculate cos(60°), which is 0.5.
Step 7: Substitute cos(60°) into the equation: Work = 25 N × 4 m × 0.5.
Step 8: Calculate the work done: Work = 25 N × 4 m × 0.5 = 50 J.
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