Which of the following objects has the greatest kinetic energy?(1 point)
Responses
10 grams of dirt falling at 2 m/s
10 grams of dirt falling at 2 m/s
100 grams of water falling at 10 m/s
100 grams of water falling at 10 m/s
100 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.
100 grams of dirt falling at 15 m/s
To determine which of the objects has the greatest kinetic energy, we need to calculate the kinetic energy for each object using the formula:
Kinetic energy (KE) = (1/2) * mass * velocity^2
Let's calculate the kinetic energy for each object:
1. 10 grams of dirt falling at 2 m/s:
KE = (1/2) * 0.01 kg * (2 m/s)^2 = 0.02 J
2. 100 grams of water falling at 10 m/s:
KE = (1/2) * 0.1 kg * (10 m/s)^2 = 5 J
3. 100 grams of dirt falling at 15 m/s:
KE = (1/2) * 0.1 kg * (15 m/s)^2 = 11.25 J
4. 10 grams of water falling at 15 m/s:
KE = (1/2) * 0.01 kg * (15 m/s)^2 = 1.125 J
Comparing the values, we can see that the object with the greatest kinetic energy is 100 grams of dirt falling at 15 m/s, with a kinetic energy of 11.25 Joules.
To determine which object has the greatest kinetic energy, we can use the formula for kinetic energy:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
Let's calculate the kinetic energies for each given object:
For the first option, 10 grams of dirt falling at 2 m/s:
KE = (1/2) * 0.01 kg * (2 m/s)^2 = 0.02 J
For the second option, 100 grams of water falling at 10 m/s:
KE = (1/2) * 0.1 kg * (10 m/s)^2 = 5 J
For the third option, 100 grams of dirt falling at 15 m/s:
KE = (1/2) * 0.1 kg * (15 m/s)^2 = 11.25 J
For the fourth option, 10 grams of water falling at 15 m/s:
KE = (1/2) * 0.01 kg * (15 m/s)^2 = 1.125 J
Comparing the values, we can see that the object with the greatest kinetic energy is 100 grams of dirt falling at 15 m/s, with a kinetic energy of 11.25 joules.