A 3kg ball is accelerated from rest to a speed of 10 m/s. What is the ball's change in momentum?
(J) momentum=mass* change in velocity
J=3kg*(10m/s-0m/s) since the object started at rest, the initial velocity =0m/s.
J=30 J
Not quite.
momentum=mass*velocity=30 Nt-m/s or J/s
Gave the wrong units, which is J/s; I apologize, I was moving too fast, but the set up is correct.
To find the ball's change in momentum, we need to use the formula:
Change in momentum = Final momentum - Initial momentum
The formula for momentum is:
Momentum = mass * velocity
Let's start by calculating the initial momentum. The ball is at rest, so its initial velocity is 0 m/s:
Initial momentum = mass * initial velocity
= 3 kg * 0 m/s
= 0 kg·m/s
Next, let's calculate the final momentum. The given final speed of the ball is 10 m/s:
Final momentum = mass * final velocity
= 3 kg * 10 m/s
= 30 kg·m/s
Now we can calculate the change in momentum:
Change in momentum = Final momentum - Initial momentum
= 30 kg·m/s - 0 kg·m/s
= 30 kg·m/s
Therefore, the ball's change in momentum is 30 kg·m/s.