A force of 10 N is applied to move an object 5 m in the direction of the force.

A force of 10 N is applied to move an object 5 m in the direction of the force. What is the work done by the force?

A force of 10 N is applied to move an object 5 m in the direction of the force. What is the work done by the force?

Step 1: Identify the force applied to the object. In this case, the force is 10 N.
Step 2: Identify the distance the object is moved in the direction of the force. Here, the distance is 5 m.
Step 3: Determine the angle (θ) between the direction of the force and the direction of the movement. Since the force and movement 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 = 10 × 5 = 50 J.
Step 9: Conclude that the work done by the force is 50 Joules.

Work Done – Work is defined as the product of the force applied to an object and the distance over which that force is applied, considering the angle between the force and the direction of motion.
Cosine of Angle – The cosine function is used to determine the component of the force that acts in the direction of the displacement, which is crucial when the force and displacement are not aligned.