Hi! I have some questions from a study guide in my physics class, and they give me the answer, but I have to show how to get the answer. I did most of them, but need help with these. Here is problem #4:

What is the increase in thermal energy to a 2000 kg bus and its surroundings if that bus comes to a stop from a speed of 15 m/s? Ignore other sources of thermal energy. (225000 J)

Q=ΔKE=mv²/2

How did you type the exponents? And the triangle?

Simbol - Arial Unicode MS

http://www.alanwood.net/unicode/fonts.html

To calculate the increase in thermal energy, you need to use the concept of kinetic energy and the principle of conservation of energy. The increase in thermal energy is equal to the initial kinetic energy of the bus.

The formula for kinetic energy is:

Kinetic Energy = (1/2) * mass * velocity²

Given the mass of the bus is 2000 kg and the initial velocity is 15 m/s, we can substitute these values into the equation to calculate the initial kinetic energy.

Kinetic Energy = (1/2) * 2000 kg * (15 m/s)²
Kinetic Energy = 0.5 * 2000 kg * 225 m²/s²
Kinetic Energy = 225,000 J

Therefore, the increase in thermal energy to the bus and its surroundings is 225,000 Joules (J).