If a force of 5 N is applied at an angle of 60 degrees to the horizontal while m
Practice Questions
Q1
If a force of 5 N is applied at an angle of 60 degrees to the horizontal while moving an object 4 m, what is the work done by the force?
10 J
20 J
5 J
15 J
Questions & Step-by-Step Solutions
If a force of 5 N is applied at an angle of 60 degrees to the horizontal while moving an object 4 m, what is the work done by the force?
Correct Answer: 10 J
Step 1: Identify the force applied, which is 5 N.
Step 2: Identify the distance the object is moved, which is 4 m.
Step 3: Identify the angle at which the force is applied, which is 60 degrees.
Step 4: Calculate the cosine of the angle: cos(60°) = 0.5.
Step 5: Use the formula for work done: Work = Force × Distance × cos(θ).
Step 6: Substitute the values into the formula: Work = 5 N × 4 m × 0.5.
Step 7: Calculate the result: Work = 5 × 4 × 0.5 = 10 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 components is crucial for calculating work done.
