Question

A heavy truck and bike are moving with the same kinetic energy. If the mass
of the truck is four time that of the bike, then calculate the ratio of their momenta (ratio of momenta=1:2) ​

Answer 1

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Answer

Let the mass of the Nike be m. Thus mass of the truck will be 4m.

Let the velocity of the Bike be v and the velocity of the truck be V.

Since, they are having the same kinetic energy.

Thus, 1/2 mv² = 1/2 MV²

mv² = 4mV²s

v² = (2V)²

v = 2V

For the Ratio of the Momentum,

Momentum of bike/Momentum of car = mv/MV

= m(2V)/(4m)V

= 2/4

= 1/2

Ratio of Momentum of truck to bike = 2/1.

Explanation:

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