A car with a mass of 2,000 kg has a kinetic energy of 900,000 J. How fast is it traveling?
KE = 0.5m*V^2 = 900,000 J.
0.5*2000*V^2 = 900,000.
Solve for V in m/s.
To find the speed (velocity) of the car, we can use the formula for kinetic energy:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
Here, the mass of the car is given as 2,000 kg and the kinetic energy is given as 900,000 J.
We can rearrange the formula to solve for velocity:
velocity^2 = (2 * KE) / mass
Substituting the given values:
velocity^2 = (2 * 900,000) / 2,000
velocity^2 = 900,000 / 1,000
velocity^2 = 900
Taking the square root of both sides:
velocity = √900
velocity = 30 m/s
Therefore, the car is traveling at a speed of 30 meters per second.