Question

Calculate the change in momentum when (a) velocity of an object is double (b) mass of a objects is halved (c) both mass and velocity are increased by three times

Answer 1

Answer:

a)impulse becomes 2 times

b)impulse becomes half

c)impulse becomes 9 times

Explanation:

Let the mass of an object be m

and it's initial velocity be u,final velocity v

So initial momentum=mu

final momentum=mv

Impulse=mv-mu

A)Doubling the velocities

Initial momentum=m2u

final momentum=m2v

impulse=m2v-m2u

Or 2(mv-mu)

So Impulse becomes 2 times

B)mass is halved

impulse=mv/2 - mu/2

=(mv-mu)/2

here impulse becomes half

C)mass= 3m

velocities=3u and 3v

impulse = 3m(3v) - 3m(3u)

=9mv - 9mu

Or 9(mv-mu)

So impulse becomes 9 times

■Note■:-Impulse means change in momentum