Question

Two bodies A and B of masses 1kg and 4kg respectively have equal momentum. Find the ratio of their kinetic energies.

Answer 1

Answer:

1:4

Explanation:

because to find a kinetic energy by using this formula...

KE = 1/2mv2

.....

KE = 1/2m1v2

KE = 1/2m2v2

were the value of the m1 and m2 are Given....

and remaining 1/2 and v2 are cancelled...

Answer 2

Answer:

4 : 1

Explanation:

The relation between kinetic energy and momentum is given by,

K.E = (1/2) mv² = p²/2m

Hence,

K.E₁/K.E₂ = (m₂/m₁) {Since momentum of two bodies are same}

K.E₁/K.E₂ = 4/1 = 4.

Therefore,

(K.E₁)/(K.E₂) = 4 : 1

Hope it helps!