13. A car is moving with a uniform velocity of 30 m/s
It is stopped in 2 s by applying a force of 1500N through its brakes. Calculate : (a) the change in
momentum of car, (b) the retardation produced in
car, and (c) the mass of the car.
Ans.(a) 3000 kg m s^1 (b) 15 m s^-2 (c) 100 kg
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Answer:
(a) 3000 kg ms
(b) 15 m/s^2
(c) 100 kg
Step-by-step explanation:
As we all know that F = ma (ma is the absolute rate of change of momentum), so,
-1500N = ma (As force is being applied opp. to the direction of motion)
Here, m and a, both are unknown so let's first calculate a, then m
v = u+at
v = 0
0 = 30+2a
Transpose u to the other side
-30 = 2a
a = -15 m/s^2
F = ma
-1500N = -15m
m = 100 kg
Momentum (denoted by p≥) = mass*velocity
So, p≥ = 30*100
3000 kg ms
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