Question

mass of a man is four time a mass of boy. .1) if both are running with same velocity. 2) if velocity of boy is four time velocity of man. calculate ratio of kinetic energy in both situations also comment on scenario

Answer 1

Kinetic energy = 1/2mv²

Case 1:

Let mass of boy = m

Mass of man = 4m

Ke of boy = 0.5mv²

KE of man = 1/2 × 4mv² = 2mv²

Ratio of kinetic energy of boy to man :

0.5 / 2

= 1 : 4

Case 2

Let velocity of man = v

Of the boy = 4v

K.E of boy = 0.5 × 16 v² × m

= 8mv²

K. E of man = 0.5 × 4m × v² = 2mv²

Ratio of kinetic energy of boy to man :

8 / 2 = 4 / 1

This equals to 4 : 1

Answer 2

Explanation:

$\huge \rm 4 : 1$