Question

Using the second law of motion show that impulse is equal to the change in momentum

Answer 1

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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Answer 2

Impulse is equal to the change in momentum, $J=m(v-u)$

Explanation:

The second law of motion gives the magnitude of external force acting on an object. It is given by :

$F=ma$

m is the mass

a is the acceleration

Acceleration of an object is equal to the rate of change of velocity such that,

$a=\dfrac{\Delta v}{t}$

Force becomes,

$F=\dfrac{m\Delta v}{t}$

On cross multiplying, we get,

$F\times t=m\Delta v$

Impulse of an object is,

$J=F\times t$

$J=m\Delta v$

$J=m(v-u)$........(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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