Question

Two bodies are moving with same kinetic energy and their masses are in the ratio 1: 4. The ratio
of their velocities is
a)1:1
b)1:2
c)2:1
d)✓2:1​

please answer this question correctly don't just give the option give step by step explanation it will be marked as brainliest and thanked or else it will be reported​

Answer 1

Explanation:

let the mass of body 1 is m. body 2 is 4m.

let velocity of body 1 is v1 and body 2 is v2

kinetic energy of body 1 is 1/2 mv1^2

kinetic energy of body 2 is 1/2 4mv2^2

according to question,

(1/2 mv1^2)/(1/2 4mv2^2)= 1 ( because kinetic energy of two bodies same, so ratio is 1)

v1^2/v2^2=4

taking the square root,

v1/v2= 2

so, v1/v2= 2/1 = 2:1