Question

the ratio of mumentum to kinetic energy is 1:2 of a moving body.The vilocity of particle will be
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Answer 1

Answer:

Explanation:

ratio of momentum to kinetic energy is 1:2

$\frac{mv}{\frac{1}{2}mv^{2} }$=1/2

2/v=1/2

v=4

Answer 2

Question :-

The ratio of mumentum to kinetic energy is 1:2 of a moving body. Find the vilocity of particle.

Answer :-

v = 0 or v = 4

Solution :-

Given -

• Momentum / K.E. = ½

To Find -

• velocity

Process -

let the velocity and the mass of the body be v and m respectively.

Now,

A/q,

Momentum / K.E. = ½

=> 2 × momentum = K.E.

=> 2 × m × v = ½ × m × v²

=> 2 × v = ½ × v²

=> 4v = v²

=> v² - 4v = 0

=> v(v - 4) = 0

=> v = 0 or v - 4 = 0

=> v = 0 or v = 4

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Hence, the velocity of the body is either 0 or 4 units/sec.

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