A 10 N force is applied at an angle of 60° to the horizontal while moving an obj

A 10 N force is applied at an angle of 60° to the horizontal while moving an object 4 m. What is the work done?

A 10 N force 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 10 N.
Step 2: Identify the distance the object is moved, 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: Work (W) = Force (F) × Distance (d) × cos(θ).
Step 5: Substitute the values into the formula: W = 10 N × 4 m × cos(60°).
Step 6: Calculate cos(60°), which is 0.5.
Step 7: Substitute cos(60°) into the equation: W = 10 N × 4 m × 0.5.
Step 8: Perform the multiplication: 10 × 4 = 40, then 40 × 0.5 = 20.
Step 9: Conclude that the work done is 20 Joules (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.
Trigonometry in Physics – Understanding how to apply trigonometric functions, specifically cosine, to resolve forces into their components.