Two balls A and B of masses m and 2m are in motion with velocities 4v and v respectively. Compare
a. their inertia
b. their momentum
c. the force needed to stop them in the same time.
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Answer:
a. 1:2, b. 2:1, c. 2:1
Explanation:
a. Mass is the Inertial property of any object.
Therefore ratio of their Inertia is 1:2
b. Momentum = Mass*Velocity
Therefore Momentum of A = m*4v = 4mv
similarly Momentum of B = 2mv
Therefore the ratio of Momentum 2:1
c.
[tex]Force = \frac{Change-in-velocity}{time}\times Mass $ (Time is same for A and B, let the time be t sec)$\\\\\therefore$ Force on A$=\frac{4v-0}{t}\times m = \frac{4mv}{t} \\\\\therefore$ Force on B$=\frac{v-0}{t}\times 2m = \frac{2mv}{t} \\\\\\\therefore$ Ratio of force = 2:1$[/tex]