The kinetic energy will quadruple
Explanation:
The kinetic energy of an object is the energy possessed by the object due to its motion. It is given by:
![K=\frac{1}{2}mv^2](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2)
where
m is the mass of the object
v is its speed
From the equation, we notice that the kinetic energy is:
- Directly proportional to the mass
- Proportional to the square of the speed
In this problem, the initial kinetic energy of the object is
K = 100 J
Later, the speed of the object is doubled:
v' = 2v
Therefore, the new kinetic energy will be
![K'=\frac{1}{2}m(v')^2=\frac{1}{2}m(2v)^2=4(\frac{1}{2}mv^2)=4K](https://tex.z-dn.net/?f=K%27%3D%5Cfrac%7B1%7D%7B2%7Dm%28v%27%29%5E2%3D%5Cfrac%7B1%7D%7B2%7Dm%282v%29%5E2%3D4%28%5Cfrac%7B1%7D%7B2%7Dmv%5E2%29%3D4K)
So, we see that the kinetic energy will quadruple.
Learn more about kinetic energy:
brainly.com/question/6536722
#LearnwithBrainly