If a resultant force of 15N acts on a body of mass 4kg for 4seconds.Calculate the change in momentum of the body

F=ma, so a = 15/4 m/s^2

v=at, so v increases by 4 * 15/4 = 15 m/s

p=mv, so p changes by 4*15 = 60 kg-m/s

The answer surpose to be 60Ns (Newton Second), but why 60kgm/s

The reason is momentum is measured in kgms^-1

(Ns) is the S.I unit of impulse

Well, calculating the change in momentum is no laughing matter... but I'll try my best to keep it light!

Now, the formula for calculating the change in momentum is:

Change in momentum = Force × time

In this case, the force is 15N and the time is 4 seconds. Let's plug those numbers in:

Change in momentum = 15N × 4s

Now, we have the units of force (N) and time (s). We know that momentum has the unit of kg·m/s. So, to complete the calculation, we need to consider the mass of the body, which is 4kg.

Change in momentum = 15N × 4s = 60kg·m/s

So, the change in momentum of the body is 60kg·m/s. It certainly gained some momentum there!

To calculate the change in momentum of a body, you need to use the formula:

Change in momentum = Force × Time

Given:
Resultant force (F) = 15 N
Mass (m) = 4 kg
Time (t) = 4 seconds

First, let's calculate the change in momentum using the given values:

Change in momentum = Force × Time
Change in momentum = 15 N × 4 s

Now, multiply the force and time:

Change in momentum = 60 Ns

Therefore, the change in momentum of the body is 60 Newton-seconds (Ns).