Work Calculation with Applied Force

What work is done when a 1400 N force is applied parallel to a horizontal surface to push an 80 kg box 2 meters?

Options:

a. 1400 Joules

b. 2000 Joules

c. 2800 Joules

d. 3200 Joules

The work done in pushing the 80 kg box 2 meters across the surface with a 1400 N force applied parallel to the surface is 2800 Joules.

To find the work done, we need to consider the force applied, the displacement, and the angle between them.

Work done is a fundamental concept in physics that measures the transfer of energy when a force is applied over a distance. In this scenario, a 1400 N force is applied parallel to a horizontal surface to push an 80 kg box 2 meters.

The formula to calculate work is: W = F × d × cos(θ)

Where: - W is the work done - F is the force applied (1400 N) - d is the displacement (2 meters) - θ is the angle between the force and displacement (0 degrees, since the force is applied parallel to the surface)

By substituting the given values into the formula, we get: W = 1400 N × 2 m × cos(0°) Since cos(0°) = 1, the equation simplifies to: W = 1400 N × 2 m × 1 = 2800 Joules

Therefore, the work done in pushing the 80 kg box 2 meters across the surface with a 1400 N force applied parallel to the surface is 2800 Joules. This shows the energy transferred during the process of pushing the box and is a key concept in understanding mechanical work.