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.
The object that has the greatest kinetic energy is 100 grams of dirt falling at 15 m/s.
To determine which object has the greatest kinetic energy, we need to use the formula for kinetic energy, which is:
Kinetic Energy = 0.5 * mass * velocity^2
Let's calculate the kinetic energy for each option:
1. 10 grams of dirt falling at 2 m/s:
Kinetic Energy = 0.5 * 0.01 kg * (2 m/s)^2 = 0.02 J
2. 100 grams of water falling at 10 m/s:
Kinetic Energy = 0.5 * 0.1 kg * (10 m/s)^2 = 5 J
3. 100 grams of dirt falling at 15 m/s:
Kinetic Energy = 0.5 * 0.1 kg * (15 m/s)^2 = 11.25 J
4. 10 grams of water falling at 15 m/s:
Kinetic Energy = 0.5 * 0.01 kg * (15 m/s)^2 = 1.125 J
Based on the calculations, the object with the greatest kinetic energy is 100 grams of dirt falling at 15 m/s with a kinetic energy of 11.25 J.
To determine which object has the greatest kinetic energy, we can use the formula for kinetic energy: KE = 0.5 * mass * velocity^2.
First, let's calculate the kinetic energy for each object using the given values:
For the first object: 10 grams of dirt falling at 2 m/s
Mass = 10 grams = 0.01 kg
Velocity = 2 m/s
KE = 0.5 * 0.01 kg * (2 m/s)^2 = 0.02 J
For the second object: 100 grams of water falling at 10 m/s
Mass = 100 grams = 0.1 kg
Velocity = 10 m/s
KE = 0.5 * 0.1 kg * (10 m/s)^2 = 5 J
For the third object: 100 grams of dirt falling at 15 m/s
Mass = 100 grams = 0.1 kg
Velocity = 15 m/s
KE = 0.5 * 0.1 kg * (15 m/s)^2 = 11.25 J
For the fourth object: 10 grams of water falling at 15 m/s
Mass = 10 grams = 0.01 kg
Velocity = 15 m/s
KE = 0.5 * 0.01 kg * (15 m/s)^2 = 1.125 J
Comparing these values, we see that the object with the greatest kinetic energy is the third object: 100 grams of dirt falling at 15 m/s, with a kinetic energy of 11.25 J.