Using the second law of motion show that impulse is equal to the change in momentum
Answers
Answer:
Explanation:
by the 2nd law of Dynamics
force F = mass* acceleration = ma
a= ( speed variation over time ) = ΔV/Δt
F= ma= m ΔV/ Δt
F Δt (pulse of a force) = mΔV = Δ ( mV) = change in momentum
mV = momentum
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Impulse is equal to the change in momentum,
Explanation:
The second law of motion gives the magnitude of external force acting on an object. It is given by :
m is the mass
a is the acceleration
Acceleration of an object is equal to the rate of change of velocity such that,
Force becomes,
On cross multiplying, we get,
Impulse of an object is,
........(1)
u is the initial velocity
v is the final velocity
From equation (1) it is clear that the impulse is equal to the change in momentum. Hence, this is the required solution.
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