Question

What is the kinetic energy of a bicylcle with a mass of 15 kg traveling at a velocity of 3 m/s?​

Answer 1

67.5 J

Step-by-step explanation:

Kinetic energy can be found using the following formula.

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

where m is the mass in kilograms and v is the velocity in m/s.

We know the bike has a mass of 15 kilograms. We also know the velocity is 3 m/s. Therefore, we can substitute 15 for m and 3 for v

`KE=(1)/(2)*15*3^2`

Evaluate the exponent first. 3^2 is the same as 3*3, which is equal to 9.

`KE=(1)/(2) *15*9`

Multiply 15 and 9.

`KE=(1)/(2) *135`

Multiply 1/2 and 135

`KE=67.5`

Add appropriate units. Kinetic energy uses Joules or J as the units.

`KE= 67.5 Joules`

The kinetic energy of the bike is 67.5 Joules

Answer 2

KE = 0.5 x mv^2

Kinetic energy equals 1/2 times mass times velocity squared.

Mass = 15kg

Velocity = 3m/s

Plug it into the formula.

KE = 0.5 x 15(3^2)

KE = 0.5 x 15(9)

Multiply the mass and velocity squared.

KE = 0.5 x 135

Then, multiply the result by 1/2 or 0.5

KE = 67.5

The kinetic energy of a bicycle that has a mass of 15kg and travels at 3m/s is 67.5J.