a loaded lorry of 12000kg and moving with a velocity of 10 m/s comes to rest after 5s applying the breaks what is the change in momentum,what is the rate of change of momentum
Answers
Answer:
Acceleration is the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.
Explanation:
Given:-
- Mass = m = 12,000 kg
- Initial velocity = u = 10 m/s
- Time taken = t = 5 s
To find:-
- Change in momentum
- Rate of change of momentum
Answer:-
As the body comes to rest, final velocity= v = 0 m/s.
Finding change in momentum:
We know that, momentum = mass * velocity
→ p = mv
And, change in momentum = (final momentum) - (initial momentum)
→ ∆p = mv - mu
→ ∆p = m(v - u)
where,
- m is mass
- u is initial velocity
- v is Final velocity
Putting values given in the question,
→ ∆p = 12000 (0 - 10)
→ ∆p = 12000 * (-10)
→ ∆p = -120000 N s or kg m/s Ans
Finding rate of change of momentum:-
Rate of change of momentum = (change in momentum) / (time taken)
= ∆p/t
where,
- ∆p is change in momentum
- t is time taken
Putting the values given in the question,
→ Rate of change of momentum = (-120000)/5