contestada

Suppose a moving object has a kinetic energy of 100 J. What will the object's kinetic
energy be if:
a. its speed is doubled?

Respuesta :

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:

[tex]K=\frac{1}{2}mv^2[/tex]

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

[tex]K'=\frac{1}{2}m(v')^2=\frac{1}{2}m(2v)^2=4(\frac{1}{2}mv^2)=4K[/tex]

So, we see that the kinetic energy will quadruple.

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

Q&A Education