If a force of 50 N is applied to a box of mass 2 kg for 2 seconds, what is the work done on the box?

If a force of 50 N is applied to a box of mass 2 kg for 2 seconds, what is the work done on the box?

Explanation

Work done (W) is given by:

W = F * d

where F is the force applied and d is the displacement.

Since the mass of the box is 2 kg and a force of 50 N is applied for 2 seconds, we can calculate the acceleration (a) using:

F = m * a

a = F / m

= 50 / 2

= 25 m/s²

The displacement (d) can be calculated using:

d = (1/2) * a * t²

where t is the time.

d = (1/2) * 25 * (2)²

= 50 m

Now, we can calculate the work done:

W = F * d

= 50 * 50

= 2500 J