Question

A heavy truck and bike are moving with same kinetic energy. If the mass of the truck is four times that of the bike, then calculate the ratio of momentum​

Answer 1

Answer:

Explanation: Let the mass of the bike 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 = 4mV²

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.

Answer 2

Answer:

16:1

Explanation:

kinetic energy is same.

let m1 be mass of truck

m2 of bike.

v1 velocity of truck

v2 velocity of bike

now, m1 equal to 4m2 (as in question)( let call this equation A)

KINETIC ENERGY KE is same so,

ke1=ke2

0.5m1(v1)square = 0.5 m2(v2) square

(by formula of half m v square)

and from equation A

we have

v1/4 = v2

now momentum is mv

so,

ratio m1v1

----------

m2v2

from above putting values

ratio is 4×4 m2v2

-------

m2v2

so , solving it,

truck vs bike ratio is 16:1