which would have less kinetic energy?
a. 10 grams of water falling at 1 m/s
b. 10 grams of dirt falling at 10 m/s
a. 10 grams of water falling at 1 m/s
The kinetic energy of an object is given by the formula KE = 0.5 * m * v^2, where m is the mass of the object and v is the velocity. In this case, both objects have the same mass of 10 grams (0.01 kg), but the water is falling at a slower velocity of 1 m/s compared to the dirt falling at 10 m/s.
Plugging the values into the formula, we get:
a. KE = 0.5 * 0.01 kg * (1 m/s)^2 = 0.005 J
b. KE = 0.5 * 0.01 kg * (10 m/s)^2 = 0.5 J
Therefore, 10 grams of water falling at 1 m/s would have less kinetic energy than 10 grams of dirt falling at 10 m/s.