Question

The mass of a object A is double the mass of object B.The object B moves with a speed doubled to that of a A. Calculate the ratio of there kinetic energy of A to the kinetic energy of B. With steps.

Answer 1

Answer:

Given:

Mass of A = 2 ( Mass of B)

Velocity of B = 2 ( Velocity of B)

To find:

Ratio of Kinetic energy

Formulas used:

KE = 1/2 mv²

Calculation:

Let mass of B = m,

mass of A = 2m

velocity of B = v

velocity of A = v/2

KE of A = 1/2 (2m)(v/2)²

=> KE of A = mv²/4

Similarly,

KE of B = 1/2 (m) (v)²

=> KE of B = mv²/2

Ratio of A : B = 1: 2

Answer 2

Answer:

Suppose mass of B = m.

and mass of A = 2m.

Velocity of B = v.

Velocity of A = v/2.

KE of A = 1/2 (2m)(v/2)^2.

KE of A = mv^2 /4.

KE of B = 1/2(m)(v^2).

KE of B =mv^2/2.

Ratio of A:B = 1:2.