Which falling object will result in the least kinetic energy when it collides with the ground?

1. 10 grams of water falling at 1 m/s
2. 100 grams of dirt falling at 15 m/s
3. 100 grams of water falling at 10 m/s
4. 10 grams of dirt falling at 2 m/s

1 answer

The kinetic energy of an object can be calculated using the formula KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.

1. KE = 1/2 * 0.01 kg * (1 m/s)^2 = 0.005 Joules
2. KE = 1/2 * 0.1 kg * (15 m/s)^2 = 11.25 Joules
3. KE = 1/2 * 0.1 kg * (10 m/s)^2 = 5 Joules
4. KE = 1/2 * 0.01 kg * (2 m/s)^2 = 0.02 Joules

Therefore, option 1, 10 grams of water falling at 1 m/s, will result in the least kinetic energy when it collides with the ground.