Question

what will be the new kinetic energy of a body if its velocity is doubled and mass is also doubled.?

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Answer 1

Answer:

Where, KE is the kinetic energy, m is the mass, v is the velocity. By this equation, we clearly understand that the velocity is doubled then the kinetic energy becomes 4 times.

Explanation:

hope it helps

Answer 2

Answer:

New kinetic energy will be 8 times more than the original kinetic energy.

Given:

A body with -

• Doubled velocity
• Doubled mass

What To Find:

• New kinetic energy

Solution:

Let -

• KE = Kinetic Energy
• Mass = m
• Velocity = v

We know -

$\sf \implies KE = \dfrac{1}{2} mv^2$

The question is asking what is KE if -

• Velocity is doubled i.e 2v.
• Mass is doubled i.e 2m.

Substituting the values,

$\sf \implies KE = \dfrac{1}{2} \times 2m \times (2v)^2$

Solving the equation,

$\sf \implies KE = 2m \times 4v$

$\sf \implies KE = 8mv$

More to know:

• The energy that an object possesses due to its motion is known as the kinetic energy of that object.
• It is never negative.
• it is a scalar quantity and it has only the magnitude but not the direction.
• It is directly proportional to the mass of the object and also to the square of its velocity.