Which object has the greatest kinetic energy?(1 point)
Responses
a red car mass of 500 kg moving at 3 m/s
a red car mass of 500 kg moving at 3 m/s
a blue car with a mass of 500 kg moving at 30 m/s
a blue car with a mass of 500 kg moving at 30 m/s
a yellow car with a mass of 500 kg moving at 12 m/s
a yellow car with a mass of 500 kg moving at 12 m/s
a green car with a mass of 500kg moving at 21 m/s
The object with the greatest kinetic energy is a blue car with a mass of 500 kg moving at 30 m/s.
To determine which object has the greatest kinetic energy, we can use the equation for kinetic energy, which is given by:
Kinetic Energy = (1/2) * mass * velocity^2
Let's calculate the kinetic energy for each object:
1. For the red car with a mass of 500 kg moving at 3 m/s:
Kinetic Energy = (1/2) * 500 kg * (3 m/s)^2 = 2250 J
2. For the blue car with a mass of 500 kg moving at 30 m/s:
Kinetic Energy = (1/2) * 500 kg * (30 m/s)^2 = 225,000 J
3. For the yellow car with a mass of 500 kg moving at 12 m/s:
Kinetic Energy = (1/2) * 500 kg * (12 m/s)^2 = 36,000 J
4. For the green car with a mass of 500 kg moving at 21 m/s:
Kinetic Energy = (1/2) * 500 kg * (21 m/s)^2 = 220,500 J
Based on the calculations, the blue car with a mass of 500 kg moving at 30 m/s has the greatest kinetic energy of 225,000 J.
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
We can calculate the kinetic energy for each object and compare the results.
Let's start with the first option: a red car with a mass of 500 kg moving at 3 m/s.
KE = (1/2) * 500 kg * (3 m/s)^2
= (1/2) * 500 kg * 9 m^2/s^2
= 2250 kg * m^2/s^2
Now, let's move to the next option: a blue car with a mass of 500 kg moving at 30 m/s.
KE = (1/2) * 500 kg * (30 m/s)^2
= (1/2) * 500 kg * 900 m^2/s^2
= 22500 kg * m^2/s^2
Third option: a yellow car with a mass of 500 kg moving at 12 m/s.
KE = (1/2) * 500 kg * (12 m/s)^2
= (1/2) * 500 kg * 144 m^2/s^2
= 3600 kg * m^2/s^2
Lastly, the fourth option: a green car with a mass of 500 kg moving at 21 m/s.
KE = (1/2) * 500 kg * (21 m/s)^2
= (1/2) * 500 kg * 441 m^2/s^2
= 55125 kg * m^2/s^2
Comparing the results, we find that the green car with a mass of 500 kg moving at 21 m/s has the greatest kinetic energy with 55125 kg * m^2/s^2.