Question

Two masses in the ratio 1:4 have their speeds 4:5 .find the ratio of their kinetic energy

Answer 1

Answer:

8:50 or 4:25

Explanation:

Let masses be x and 4x and speed be 4y and 5y respectively.

Kinetic energy = 1/2 mv^2

Kinetic energy of 1st object = 1/2 ×x × 4y ×4y = 8xy

Kinetic energy of 2nd object = 1/2 × 4x × 5y × 5y = 50 xy

Ratio of the kinetic energies of the 2 objects = 8:50 = 4:25