A force of 10 N is applied to move an object 5 m in the direction of the force. What is the work done by the force?
Practice Questions
1 question
Q1
A force of 10 N is applied to move an object 5 m in the direction of the force. What is the work done by the force?
10 J
20 J
50 J
5 J
Work done (W) = Force (F) × Distance (d) × cos(θ). Here, θ = 0° (force and displacement are in the same direction). W = 10 N × 5 m × cos(0°) = 10 N × 5 m = 50 J.
Questions & Step-by-step Solutions
1 item
Q
Q: A force of 10 N is applied to move an object 5 m in the direction of the force. What is the work done by the force?
Solution: Work done (W) = Force (F) × Distance (d) × cos(θ). Here, θ = 0° (force and displacement are in the same direction). W = 10 N × 5 m × cos(0°) = 10 N × 5 m = 50 J.
Steps: 9
Step 1: Identify the force applied to the object. In this case, the force is 10 N.
Step 2: Identify the distance the object is moved in the direction of the force. Here, the distance is 5 m.
Step 3: Determine the angle (θ) between the direction of the force and the direction of the movement. Since the force and movement are in the same direction, θ = 0°.
Step 4: Use the formula for work done: Work (W) = Force (F) × Distance (d) × cos(θ).
Step 5: Substitute the values into the formula: W = 10 N × 5 m × cos(0°).
Step 6: Calculate cos(0°), which equals 1.
Step 7: Now calculate the work done: W = 10 N × 5 m × 1.
Step 8: Multiply the numbers: W = 10 × 5 = 50 J.
Step 9: Conclude that the work done by the force is 50 Joules.
