A 100-n boulder is sitting on a shelf 0.5 meters above the floor.
How much kinetic energy was used to move the boulder across the shelf at 2.0 meters per second?
KE=1/2 m v^2
To calculate the kinetic energy used to move the boulder across the shelf, we need to use the formula for kinetic energy:
Kinetic Energy = 0.5 * mass * velocity^2.
Given:
Mass (m) = 100 kg (since 1 N is equal to 1 kg * m/s^2)
Velocity (v) = 2.0 m/s
To plug in these values into the formula:
Kinetic Energy = 0.5 * 100 kg * (2.0 m/s)^2
= 0.5 * 100 kg * 4.0 m^2/s^2
= 0.5 * 100 kg * 4.0 kg * m^2/s^2
= 200 kg * m^2/s^2.
Therefore, the kinetic energy used to move the 100 kg boulder across the shelf at 2.0 m/s is 200 kg * m^2/s^2.