Check the solution to "The magnitude of the kinetic energy of a..."

vegetatzz8s

Answered question

2022-11-25

The magnitude of the kinetic energy of a body is ‘k’. If its speed doubles, what is its kinetic energy?

Answer & Explanation

Viviana Robinson

Beginner2022-11-26Added 7 answers

Step 1: Definition
The kinetic energy of an object is the energy that it possesses due to its motion. The S.I unit of kinetic energy is Joule or

1 kg . m^{2} . s^{- 2}

.
Mathematically, kinetic energy can be portrayed as,

KE = \frac{1}{2} {mv}^{2}

Here,
m is the mass of the body.
v is the velocity of the body.
Step2: Here instances of kinetic energy.
A vehicle traveling at a very similar speed as a vehicle has more kinetic energy also because the truck's mass seems to be significantly greater than the car's. As liquid seems to have a specific velocity as well as mass, a river moving at a definite pace has kinetic energy.Step 3: When speed doubles the kinetic energy
If v becomes 2v, then

KE = \frac{1}{2} m {(2 v)}^{2} = 4 (\frac{1}{2} m v^{2}) = 4 times initial KE

As a result, the object's kinetic energy doubles to become four times as much as its initial kinetic energy when its speed doubles.

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