Question

A car moves 4 times as fast as another identical car. compared to the slower car, the faster car has:_______

a. 4 times the ke.
b. 8 times the ke.
c.12 times the ke.
d.16 times the ke.

Answer 1

Option d

d. 16 times the ke

Step-by-step explanation:

The kinetic energy is defined as:

`Ke = (1)/(2)mv^(2)` (1)

Where m and v are the mass and velocity of the object.

The kinetic energy represents how much energy have an object as a consequence of its movement.

For the case of a car moving 4 times as fast as another identical car.

By means of equation 1 it is gotten:

`Ke = (1)/(2)m\cdot(4v)^(2)`

`Ke = (1)/(2)m\cdot16v^(2)`

Hence, the faster car has 16 times the kinetic energy.