Question

mr kim is driving in his tesla at a velocity of 20m/s. he then slams the accelerator and hits a velocity of 80m/s. by what factor has mr. kim and his tesla changed their kinetic energy?

Answer 1

Answer: The kinetic energy has increased 16 times.

Step-by-step explanation:

Kinetic energy is the energy of an object in motion, and is calculated using the formula: kinetic energy = 1/2 * mass * velocity^2.

When Mr. Kim's Tesla was traveling at a velocity of 20 m/s, its kinetic energy was: 1/2 * mass * 20^2 = 1/2 * mass * 400 = 200 * mass joules.

When he accelerated to a velocity of 80 m/s, the kinetic energy of the Tesla increased to: 1/2 * mass * 80^2 = 1/2 * mass * 6400 = 3200 * mass joules.

To find the factor by which the kinetic energy has changed, we can divide the final kinetic energy by the initial kinetic energy:

3200 * mass joules / 200 * mass joules = 16.

Therefore, Mr. Kim and his Tesla have changed their kinetic energy by a factor of 16. This means that the kinetic energy has increased 16 times.

Answer 2

The change in kinetic energy of Mr. Kim and his Tesla is 6000 times their initial kinetic energy.

Step-by-step explanation:

Kinetic energy is given by the equation KE = (1/2)mv^2, where KE is the kinetic energy, m is the mass, and v is the velocity.

By comparing the initial velocity of 20 m/s to the final velocity of 80 m/s, we can calculate the change in kinetic energy. Let's assume the mass of Mr. Kim's Tesla remains constant.

Initial kinetic energy = (1/2)mv^2 = (1/2)m(20^2) = (1/2)m(400)

Final kinetic energy = (1/2)m(80^2) = (1/2)m(6400)

The change in kinetic energy can be calculated by subtracting the initial kinetic energy from the final kinetic energy:

Change in kinetic energy = Final kinetic energy - Initial kinetic energy = (1/2)m(6400) - (1/2)m(400)

Change in kinetic energy = (1/2)m(6400 - 400)

Change in kinetic energy = (1/2)m(6000)

Therefore, Mr. Kim and his Tesla have changed their kinetic energy by a factor of 6000.