To find the final momentum of the mass, we need to calculate the change in momentum caused by the applied force. The change in momentum can be calculated using the formula:
Change in momentum = force * time
Given: Force (F) = 0.2 N Time (t) = 6 seconds
The force is in the same direction as the motion, so it will increase the momentum of the mass. The momentum is given by the formula:
Momentum = mass * velocity
Given: Mass (m) = 3.6 kg Initial velocity (u) = 5 m/s
First, let's calculate the change in momentum:
Change in momentum = force * time Change in momentum = 0.2 N * 6 s Change in momentum = 1.2 Ns
Now, let's calculate the initial momentum of the mass:
Initial momentum = mass * initial velocity Initial momentum = 3.6 kg * 5 m/s Initial momentum = 18 kg·m/s
The final momentum can be calculated by adding the change in momentum to the initial momentum:
Final momentum = Initial momentum + Change in momentum Final momentum = 18 kg·m/s + 1.2 Ns Final momentum ≈ 19.2 kg·m/s
Therefore, the final momentum of the mass is approximately 19.2 kg·m/s.