The masses, volumes, and speeds of several objects are shown. Which object has the greatest kinetic energy?(1 point)Responsesmass = 2 kg, volume = 10,000 cm3, speed = 5 m/smass = 2 kg, volume = 10,000 cm 3 , speed = 5 m/smass = 5 kg, volume = 2,000 cm3, speed = 10 m/smass = 5 kg, volume = 2,000 cm 3 , speed = 10 m/smass = 5 kg, volume = 5,000 cm3, speed = 5 m/smass = 5 kg, volume = 5,000 cm 3 , speed = 5 m/smass = 2 kg, volume = 5,000 cm3, speed = 10 m/s
To calculate the kinetic energy, we can use the formula:
Kinetic energy = 0.5 * mass * speed^2
Using this formula, let's calculate the kinetic energy for each object:
1. Kinetic energy = 0.5 * 2 kg * (5 m/s)^2 = 0.5 * 2 * 25 = 25 J
2. Kinetic energy = 0.5 * 2 kg * (5 m/s)^2 = 0.5 * 2 * 25 = 25 J
3. Kinetic energy = 0.5 * 5 kg * (10 m/s)^2 = 0.5 * 5 * 100 = 250 J
4. Kinetic energy = 0.5 * 5 kg * (10 m/s)^2 = 0.5 * 5 * 100 = 250 J
5. Kinetic energy = 0.5 * 5 kg * (5 m/s)^2 = 0.5 * 5 * 25 = 62.5 J
6. Kinetic energy = 0.5 * 5 kg * (5 m/s)^2 = 0.5 * 5 * 25 = 62.5 J
7. Kinetic energy = 0.5 * 2 kg * (10 m/s)^2 = 0.5 * 2 * 100 = 100 J
Therefore, the object with the greatest kinetic energy is the one with a mass of 5 kg, a volume of 2,000 cm3, and a speed of 10 m/s.
To determine which object has the greatest kinetic energy, we need to calculate the kinetic energy for each object.
The formula for kinetic energy is:
Kinetic Energy = (1/2) * mass * (speed)^2
For the given objects, we can calculate their kinetic energy as follows:
1. Kinetic Energy = (1/2) * 2 kg * (5 m/s)^2 = 25 J
2. Kinetic Energy = (1/2) * 2 kg * (5 m/s)^2 = 25 J
3. Kinetic Energy = (1/2) * 5 kg * (10 m/s)^2 = 250 J
4. Kinetic Energy = (1/2) * 5 kg * (10 m/s)^2 = 250 J
5. Kinetic Energy = (1/2) * 5 kg * (5 m/s)^2 = 62.5 J
6. Kinetic Energy = (1/2) * 5 kg * (5 m/s)^2 = 62.5 J
7. Kinetic Energy = (1/2) * 2 kg * (10 m/s)^2 = 200 J
Based on the calculations, object number 4 has the greatest kinetic energy with 250 Joules.
To determine the object with the greatest kinetic energy, we need to calculate the kinetic energy for each object using the formula:
Kinetic Energy = 1/2 * mass * speed^2
Let's calculate the kinetic energy for each object:
1. For the first object with a mass of 2 kg and a speed of 5 m/s:
Kinetic Energy = 0.5 * 2 kg * (5 m/s)^2 = 0.5 * 2 kg * 25 m^2/s^2 = 25 Joules
2. For the second object with a mass of 2 kg and a speed of 5 m/s:
Kinetic Energy = 0.5 * 2 kg * (5 m/s)^2 = 0.5 * 2 kg * 25 m^2/s^2 = 25 Joules
3. For the third object with a mass of 5 kg and a speed of 10 m/s:
Kinetic Energy = 0.5 * 5 kg * (10 m/s)^2 = 0.5 * 5 kg * 100 m^2/s^2 = 250 Joules
4. For the fourth object with a mass of 5 kg and a speed of 10 m/s:
Kinetic Energy = 0.5 * 5 kg * (10 m/s)^2 = 0.5 * 5 kg * 100 m^2/s^2 = 250 Joules
5. For the fifth object with a mass of 5 kg and a speed of 5 m/s:
Kinetic Energy = 0.5 * 5 kg * (5 m/s)^2 = 0.5 * 5 kg * 25 m^2/s^2 = 62.5 Joules
6. For the sixth object with a mass of 5 kg and a speed of 5 m/s:
Kinetic Energy = 0.5 * 5 kg * (5 m/s)^2 = 0.5 * 5 kg * 25 m^2/s^2 = 62.5 Joules
7. For the seventh object with a mass of 2 kg and a speed of 10 m/s:
Kinetic Energy = 0.5 * 2 kg * (10 m/s)^2 = 0.5 * 2 kg * 100 m^2/s^2 = 100 Joules
From the calculations, we can see that the third and fourth objects have the highest kinetic energy, which is 250 Joules. Therefore, the object with the greatest kinetic energy is the one with a mass of 5 kg, a volume of 2,000 cm3, and a speed of 10 m/s.