. Compared a car (mass of 2000 kg) moving at 10 miles per hour, how much kinetic energy (in Joules) does that same car have when it moves at 20 miles per hour? At 50 miles per hour? 75 miles per hour?

To calculate the kinetic energy of an object, we can use the formula:

Kinetic Energy = 0.5 * mass * velocity^2

First, let's convert the car's mass from kg to g:
2000 kg = 2000 * 1000 = 2,000,000 g

Now, let's convert the given velocities from miles per hour to meters per second, as the kinetic energy formula requires the velocity to be in meters per second.

1 mile = 1609.34 meters (approximately)
1 hour = 3600 seconds

So, to convert miles per hour to meters per second, we can use the following conversion factor:
1 mile per hour = 1609.34 meters / 3600 seconds

1) Velocity = 10 miles per hour
Velocity (m/s) = 10 * 1609.34 / 3600 ≈ 4.47 m/s

Now, we can calculate the kinetic energy:

Kinetic Energy = 0.5 * mass * velocity^2
Kinetic Energy = 0.5 * 2,000,000 g * (4.47 m/s)^2
≈ 20,027,864 J

2) Velocity = 20 miles per hour
Velocity (m/s) = 20 * 1609.34 / 3600 ≈ 8.94 m/s

Kinetic Energy = 0.5 * 2,000,000 g * (8.94 m/s)^2
≈ 80,111,550 J

3) Velocity = 50 miles per hour
Velocity (m/s) = 50 * 1609.34 / 3600 ≈ 22.35 m/s

Kinetic Energy = 0.5 * 2,000,000 g * (22.35 m/s)^2
≈ 499,999,625 J

4) Velocity = 75 miles per hour
Velocity (m/s) = 75 * 1609.34 / 3600 ≈ 33.53 m/s

Kinetic Energy = 0.5 * 2,000,000 g * (33.53 m/s)^2
≈ 839,998,227 J

Therefore, the kinetic energy of the car would be approximately:
- 20,027,864 Joules when it moves at 10 miles per hour,
- 80,111,550 Joules when it moves at 20 miles per hour,
- 499,999,625 Joules when it moves at 50 miles per hour, and
- 839,998,227 Joules when it moves at 75 miles per hour.