Question

If the speed of a particle is quartered, by what factor does its kinetic energy change? activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type kk0 =

a) 1/2
b) 1/4
c) 1/8
d) 1/16

Answer 1

If the speed of a particle is quartered, its kinetic energy changes by a factor of 1/16.

Step-by-step explanation:

The kinetic energy of a particle is given by the equation:

Kinetic Energy = 1/2 * mass * speed2

If the speed of a particle is quartered, its new speed will be 1/4 of the original speed. Therefore, the new kinetic energy can be calculated as:

New Kinetic Energy = 1/2 * mass * (1/4 * original speed)2 = 1/32 * mass * original speed2

Comparing the new and original kinetic energies:

New Kinetic Energy / Original Kinetic Energy = (1/32 * mass * original speed2) / (1/2 * mass * original speed2) = 1/16

Therefore, if the speed of a particle is quartered, its kinetic energy changes by a factor of 1/16.