High School

A motorcycle and its driver have a mass of 145 kg. Answer the following question using correct units.

The motorcycle has a speed of [tex]$25.0 \, \text{m/s}$[/tex]. What is the kinetic energy of the motorcycle?

Answer :

Final answer:

The kinetic energy of the motorcycle and its driver, with a mass of 145 kg and speed of 25 m/s, is 45,312.5 J (joules).

Explanation:

To calculate the kinetic energy of the motorcycle, we use the formula:

KE = 1/2 mv²

where KE is the kinetic energy, m is the mass, and v is the velocity.

The mass of the motorcycle and its driver is 145 kg, and the given speed is 25 m/s. Plugging the values into the formula:

KE = 1/2 × 145 kg × (25 m/s)²

KE = 1/2 × 145 kg × 625 m²/s²

KE = 0.5 × 145 kg × 625 m²/s²

KE = 45312.5 kg·m²/s²

Therefore, KE = 45,312.5 J (joules), which is the kinetic energy of the motorcycle.