Which falling object will result in the least kinetic energy when it collides with the ground?
10 grams of dirt falling at 2 m/s
100 grams of water falling at 10 m/s
10 grams of water falling at 1 m/s
100 grams of dirt falling at 15 m/s
10 grams of water falling at 1 m/s
Kinetic energy is calculated using the formula KE = 0.5 * m * v^2, where m is mass and v is velocity.
For each object:
10 grams of dirt falling at 2 m/s:
KE = 0.5 * 0.01 kg * 4 m^2/s^2 = 0.02 J
100 grams of water falling at 10 m/s:
KE = 0.5 * 0.1 kg * 100 m^2/s^2 = 5 J
10 grams of water falling at 1 m/s:
KE = 0.5 * 0.01 kg * 1 m^2/s^2 = 0.005 J
100 grams of dirt falling at 15 m/s:
KE = 0.5 * 0.1 kg * 225 m^2/s^2 = 11.25 J
Therefore, the object that will result in the least kinetic energy when it collides with the ground is 10 grams of water falling at 1 m/s.