Question

The kinetic energy of an object is K .If its mass is reduced to half and velocity is doubled,

then its kinetic energy will be ?



pls answer fast​

Answer 1

Answer:

1..if mass doubled then kinetic energy also gets doubled.. 2..if velocity doubled with constant mass then kinetic energy becomes 4 times the initial kinetic energy.. 3..if mass doubled and velocity reduced to half kinetic energy will be half the initial value.

Answer 2

Given,

The kinetic energy of an object = K

To find,

The kinetic energy of the object when its mass is reduced to half and velocity is doubled.

Solution,

We can simply solve this numerical problem by using the following process:

Mathematically,

Kinetic energy = 1/2×(mass)×(velocity)^2

{Equation-1}

Now, let us assume that in the initial conditions,

the mass of the object = m

the velocity of the object = v

Now, according to the question;

When the mass is reduced to half, final mass = m/2

When the velocity is doubled, final velocity = 2v

Now, according to the question;

the total kinetic energy in the initial conditions = K

=> 1/2 × (mass) × (velocity)^2 = K

(according to the equation-1)

=> 1/2 × (m) × (v)^2 = K

=> KE (Initial) = K = 1/2×m(v)^2

{Equation-2}

Now,

the total kinetic energy in the final conditions

= 1/2 × (final mass) × (final velocity)^2

(according to equation-1)

= 1/2 × (m/2) × (2v)^2

= 2 × 1/2 × (m) × (v)^2

= 2 × 1/2×m(v)^2 = 2 × K

(according to equation-2)

=> the total kinetic energy in the final conditions = 2K

Hence, the kinetic energy of the object, when its mass is reduced to half and velocity is doubled, is equal to 2K.