If a box is pushed across a floor with a force of 130N. The frictional force acting between the box and the floor is 30N, over a time period of 5 sec,

Determine:

1) What is the net force acting on it?

2) Acceleration acting upon the box if it starts from rest and attains a certain Kinetic energy after being pushed 25m?

3) Also find the mass of the box.

4) What will be the kinetic energy and final velocity?

The force acting in the front direction is the 130N.

The frictional force is acting backwards 30N.

1) The net force is 130N - 30N = 100N

2) s = ut + (1/2) at^2 u = 0, Start from rest, s = 25m t = 5.

25 = 0*5 + (1/2) * a * 5^2.

25 = 0 + 25/2 * a.

25 = (25/2) a. Divide 25 from both sides.

1 = (1/2) * a. Cross multiply.

2 = a.

a = 2 m/s^2.

3) Mass of the box

Net Force, F = ma

100 = m*2. Divide both sides by 2.

100/2 = m

50 = m.

m = 50 kg.

4) Final velocity, v = u + at.

v = 0 + 2*5 = 10 m/s.

Kinetic Energy, K = (1/2) * mv^2.

= 1/2 * 50 * 10 * 10.

= 2500 J.