Answer:

CONCEPT:

Momentum: A property of a body in motion that is equal to the product of the body's mass and velocity is called momentum.

P = mv

where P is the momentum of the body, m is the mass of the body, and v is the velocity of the body.

Kinetic energy: The energy in a body due to its motion, is known as kinetic energy.

The kinetic energy in terms of momentum is given by:

where K is the kinetic energy of the body, P is the momentum of the body and m is the mass of the body.

CALCULATION:

Given that m1 = 4 Kg and m2 = 16 Kg; the Kinetic energy of both is the same.

K1 = K2

So the correct answer is option 2.

Verified answer

Answer:

2:1

Explanation:

The ratio of velocity of A to B can be calculated using the formula:

vA/vB = √(mB/ mA)

where vA and vB are the velocities of A and B, and mA and mB are the masses of A and B, respectively.

Given that the kinetic energy of both bodies is the same, we know that:

(1/2) mA vA²= (1/2) mB vB²

Rearranging this equation, we get:

vA²/ vB² = mB / mA

Substituting the values of mA and mB, we get:

vA² / vB² = 16 / 4

vA^2 / vB^2 = 4

Taking the square root of both sides, we get:

vA / vB = 2

Therefore, the ratio of velocity of A to B is 2:1.

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