Initial momentum of the body

To find the initial momentum of the body, we need to use the formula for momentum, which is given by:

Momentum = mass × velocity

Since the body is moving with uniform velocity, we can assume that the velocity remains constant throughout. Therefore, the initial momentum can be calculated using the final momentum, as the body comes to a stop.

Final momentum of the body

The final momentum of the body can be calculated using the formula:

Momentum = mass × velocity

Since the body comes to a stop, the final velocity is 0. Therefore, the final momentum is also 0.

Retarding force and time

Given that the retarding force applied to stop the body is 200 Newton and the time taken to stop the body is 0.25 seconds.

We can use Newton's second law of motion, which states that the force applied to an object is equal to the rate of change of its momentum. Mathematically, this can be represented as:

Force = (Change in momentum) / (Time)

In this case, the force applied is the retarding force of 200 Newton, the change in momentum is the final momentum (0) minus the initial momentum, and the time is 0.25 seconds.

Calculating the initial momentum

Substituting the values into the equation, we can solve for the initial momentum:

200 = (0 - initial momentum) / 0.25

Multiplying both sides of the equation by 0.25, we get:

50 = - initial momentum

Dividing both sides of the equation by -1, we find:

initial momentum = -50

Explanation

The negative sign in the answer indicates that the initial momentum is in the opposite direction of the final momentum. This means that the body was moving in the opposite direction of the retarding force applied to stop it. The magnitude of the initial momentum is 50 kg·m/s.

Therefore, the initial momentum of the body is -50 kg·m/s.

I think the answer will be 50kg m/s