Question

an object having mass'm' is moving with a velocity of 5ms/1 has the kinetic energy of25j . kinetic energy of an object when velocity is increased by two times

Answer 1

When object have velocity 5m/sec.
It has K.E. of 25 joules

so we get mass from following process
$K.E = \frac{1}{2} m ({5)}^{2} \\ 25 = \frac{1}{2} m \times 25 \\ m = 2kg$
Now new kinetic energy when velocity doubles means v=10m/s

$K.E. = \frac{1}{2} (2) {(10)}^{2} \\ 100joules$

New kinetic energy will be 100 joules.

Answer 2

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ANSWER :

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The mass of the object, m = m kg

The speed of the object, v = 5 m/s

The Kinetic Energy, K.E = 25 J

We know that ,

$kinetic \: energy = \frac{1}{2} mv ^{2}$

From this ,,,

Kinetic Energy ,K.E = 1/2 × m× (5)^2

25 = 1/2 × m × 25

m = 2 kg

(i) Now the Velocity of the object is doubled,,

v2 = 2v1

= 2( 5)

v2 = 10 m/s

Kinetic Energy, K.E = 1/2 × m × (v2)^2

= 1/2 × 2 × 10^2

= 100 J

The Kinetic Energy is 100 J.

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