If a force of 15 N is applied at an angle of 60° to the horizontal while moving
Practice Questions
Q1
If a force of 15 N is applied at an angle of 60° to the horizontal while moving an object 4 m, what is the work done by the force?
30 J
60 J
120 J
180 J
Questions & Step-by-Step Solutions
If a force of 15 N is applied at an angle of 60° to the horizontal while moving an object 4 m, what is the work done by the force?
Correct Answer: 30 J
Step 1: Identify the force applied, which is 15 N.
Step 2: Identify the distance moved by the object, which is 4 m.
Step 3: Identify the angle at which the force is applied, 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 = 15 N × 4 m × cos(60°).
Step 6: Calculate cos(60°), which is 0.5.
Step 7: Substitute cos(60°) into the formula: Work = 15 N × 4 m × 0.5.
Step 8: Calculate the work done: Work = 15 × 4 × 0.5 = 30 J.
Work Done – Work 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 movement.
Trigonometric Functions – Understanding how to use cosine to resolve forces into their effective components in the direction of motion.
