As shown below, an object with a mass of 5 kg is moving at a speed of 10 m/s. Another object with a mass of 10 kg is moving at a speed of 5 m/s.
Which of the objects has higher kinetic energy?
(1 point)
Responses
The 5 kg object has higher kinetic energy.
The 5 kg object has higher kinetic energy.
The 10 kg object has higher kinetic energy.
The 10 kg object has higher kinetic energy.
Both objects have zero kinetic energy.
Both objects have zero kinetic energy.
The objects have equal kinetic energy.
The objects have equal kinetic energy.
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The formula for kinetic energy is KE = 1/2 * mass * velocity^2.
For the first object with a mass of 5 kg and a speed of 10 m/s, its kinetic energy would be KE = 1/2 * 5 kg * (10 m/s)^2 = 250 Joules.
For the second object with a mass of 10 kg and a speed of 5 m/s, its kinetic energy would be KE = 1/2 * 10 kg * (5 m/s)^2 = 125 Joules.
Therefore, the 5 kg object has higher kinetic energy with 250 Joules compared to the 10 kg object with 125 Joules.
The correct answer is: The 5 kg object has higher kinetic energy.
To determine which object has higher kinetic energy, we can use the formula for kinetic energy:
Kinetic Energy = 1/2 * mass * velocity^2
For the first object with a mass of 5 kg and a speed of 10 m/s, the kinetic energy is:
Kinetic Energy = 1/2 * 5 kg * (10 m/s)^2
Kinetic Energy = 1/2 * 5 kg * 100 m^2/s^2
Kinetic Energy = 250 J (joules)
For the second object with a mass of 10 kg and a speed of 5 m/s, the kinetic energy is:
Kinetic Energy = 1/2 * 10 kg * (5 m/s)^2
Kinetic Energy = 1/2 * 10 kg * 25 m^2/s^2
Kinetic Energy = 250 J (joules)
Both objects have the same kinetic energy of 250 J. Therefore, the objects have equal kinetic energy.
To determine which object has a higher kinetic energy, we need to use the formula for kinetic energy:
Kinetic Energy = (1/2) * mass * speed^2
Let's calculate the kinetic energy for each object.
For the 5 kg object:
Kinetic Energy = (1/2) * 5 kg * (10 m/s)^2
= (1/2) * 5 kg * 100 m^2/s^2
= 250 Joules
For the 10 kg object:
Kinetic Energy = (1/2) * 10 kg * (5 m/s)^2
= (1/2) * 10 kg * 25 m^2/s^2
= 125 Joules
Comparing the values, we can see that the 5 kg object has a higher kinetic energy of 250 Joules, while the 10 kg object has a lower kinetic energy of 125 Joules.
Therefore, the correct answer is: The 5 kg object has higher kinetic energy.