A force of 10 N is applied to move an object 5 m in the direction of the force.
Practice Questions
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 on the object?
10 J
20 J
50 J
5 J
Questions & Step-by-Step Solutions
A force of 10 N is applied to move an object 5 m in the direction of the force. What is the work done on the object?
Step 1: Identify the force applied to the object, which is 10 N.
Step 2: Identify the distance the object is moved, which is 5 m.
Step 3: Determine the angle (θ) between the force and the direction of movement. Since they 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 = 50 J.
Work – Work is defined as the product of force applied to an object and the distance the object moves in the direction of the force.
Cosine of Angle – The angle θ in the work formula accounts for the direction of the force relative to the displacement; cos(0°) equals 1 when they are in the same direction.
