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Two balls A and B of masses 3m and 2m ar...

Two balls A and B of masses 3m and 2m are in motion with velocities 2 and 30 respectively. Compare (i) their inertia (ll) their momentum (i) the force needed to stop them in the same time.

Text Solution

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`("Inertia of ball A")/("Inertia of ball B")=("Mass of ball A")/("Mass of ball B")`
`=(3m)/(2m)`
`(3)/(2)` (ii)`("Momentum of ball A")/(Momentum of ball B)=(2mxx2v)/(2mxx3)=(1)/(1)=1:1`
(iii)`("Force needed to stop ball A")/("Force needed of ball B")`
=`("Rate of change of momentum of ball A")/("rate of change of momentum of ball B")`
`=(6mv-0)/(t,(6mv-0)/(t)`
1:1
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