A force of 20 N is applied at an angle of 60° to the horizontal while moving an
Practice Questions
Q1
A force of 20 N is applied at an angle of 60° to the horizontal while moving an object 4 m. What is the work done?
40 J
80 J
20 J
60 J
Questions & Step-by-Step Solutions
A force of 20 N is applied at an angle of 60° to the horizontal while moving an object 4 m. What is the work done?
Step 1: Identify the force applied, which is 20 N.
Step 2: Identify the distance moved by the object, which is 4 m.
Step 3: Identify the angle of the force with respect to the horizontal, which is 60°.
Step 4: Use the formula for work done: W = F × d × cos(θ).
Step 5: Substitute the values into the formula: W = 20 N × 4 m × cos(60°).
Step 6: Calculate cos(60°), which is 0.5.
Step 7: Substitute cos(60°) into the equation: W = 20 N × 4 m × 0.5.
Step 8: Perform the multiplication: 20 × 4 = 80, then 80 × 0.5 = 40.
Step 9: Conclude that the work done is 40 J.
Work Done – Work done is calculated as the product of the force applied, the distance moved in the direction of the force, and the cosine of the angle between the force and the direction of motion.
Trigonometric Functions – Understanding how to use cosine to resolve forces into their effective components in the direction of motion.
