An object of mass 200 kg is accelerated uniformly from a velocity of 5 ms–1 to 15 ms–1 in 5 s. Calculate the change in the momentum of the object and also find the force acting on it.
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Answer:
Change in momentum of the object = 2000 kg m s^-1.
The force acting on the object = 400 kg m s^-2
Explanation:
Formula: ΔP = m(v - u)
m = 200 kg
v = 15 m s^-1
u = 5 m s^-1
ΔP = m(v - u)
= 200(15 - 5)
= 200 x 10
= 2000 kg m s^-1
∴ Change in momentum of the object = 2000 kg m s^-1.
∴ m(v - u) = 2000 kg m s^-1 ------> eq.1
Formula: F = ma
t = 5 s
F = ma
= m x (v - u)/t
= 2000/t (From eq.1)
= 2000/5
= 400 kg m s^-2
∴ The force acting on the object = 400 kg m s^-2
Answered by
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Answer:
400 kg
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