To calculate the kinetic energy of an object, you can use the following formula:
Kinetic Energy = 0.5 * mass * velocity^2
In this case, the mass of the car is given as 10 tons. To convert tons to kilograms, we can multiply by 1000 since 1 ton is equal to 1000 kilograms. Therefore, the mass of the car is:
Mass = 10 tons * 1000 kg/ton = 10,000 kg
The velocity of the car is given as 10 kilometers per hour. To convert kilometers per hour to meters per second, we divide by 3.6 since there are 3600 seconds in an hour. Therefore, the velocity of the car is:
Velocity = 10 km/h * (1000 m/km) / (3600 s/h) = 2.78 m/s (rounded to two decimal places)
Now we can calculate the kinetic energy:
Kinetic Energy = 0.5 * mass * velocity^2 = 0.5 * 10,000 kg * (2.78 m/s)^2 = 0.5 * 10,000 kg * 7.7284 m^2/s^2 = 38,642 Joules (rounded to the nearest whole number)
Therefore, the kinetic energy of the 10-ton car moving at a speed of 10 kilometers per hour is approximately 38,642 Joules.