Which of the following objects has the greatest kinetic energy?(1 point)Responses10 grams of dirt falling at 2 m/s10 grams of dirt falling at 2 m/s100 grams of water falling at 10 m/s100 grams of water falling at 10 m/s100 grams of dirt falling at 15 m/s.100 grams of dirt falling at 15 m/s.10 grams of water falling at 15 m/s. 10 grams of water falling at 15 m/s.
To determine the object with the greatest kinetic energy, we use the equation for kinetic energy: KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass, and v is the velocity/speed.
Let's compare the kinetic energies of the given objects:
1) 10 grams of dirt falling at 2 m/s
KE = 0.5 * 0.01 kg * (2 m/s)^2 = 0.02 J
2) 100 grams of water falling at 10 m/s
KE = 0.5 * 0.1 kg * (10 m/s)^2 = 5 J
3) 100 grams of dirt falling at 15 m/s
KE = 0.5 * 0.1 kg * (15 m/s)^2 = 11.25 J
4) 10 grams of water falling at 15 m/s
KE = 0.5 * 0.01 kg * (15 m/s)^2 = 1.125 J
From the calculations, we can see that the object with the greatest kinetic energy is the 100 grams of dirt falling at 15 m/s, with a kinetic energy of 11.25 J.