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Question
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 10 kg object has higher kinetic energy.
The 10 kg object has higher kinetic energy.
The 5 kg object has higher kinetic energy.
The 5 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.
The formula to calculate kinetic energy is KE = 1/2mv^2, where m is the mass of the object and v is its velocity.
For the 5 kg object with a speed of 10 m/s, the kinetic energy would be KE = 1/2 * 5 kg * (10 m/s)^2 = 250 J.
For the 10 kg object with a speed of 5 m/s, the kinetic energy would be KE = 1/2 * 10 kg * (5 m/s)^2 = 125 J.
Therefore, the 5 kg object has higher kinetic energy, so 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 = 0.5 * mass * velocity^2
For the first object with a mass of 5 kg and a speed of 10 m/s, the kinetic energy would be:
Kinetic Energy1 = 0.5 * 5 kg * (10 m/s)^2 = 0.5 * 5 kg * 100 m^2/s^2 = 250 J
For the second object with a mass of 10 kg and a speed of 5 m/s, the kinetic energy would be:
Kinetic Energy2 = 0.5 * 10 kg * (5 m/s)^2 = 0.5 * 10 kg * 25 m^2/s^2 = 125 J
Therefore, the object with a mass of 5 kg has a higher kinetic energy of 250 J compared to the object with a mass of 10 kg, which has a kinetic energy of 125 J. Thus, 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:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
Let's calculate the kinetic energy for both objects:
For the 5 kg object:
KE = 1/2 * 5 kg * (10 m/s)^2
= 1/2 * 5 * 100
= 250 J (Joules)
For the 10 kg object:
KE = 1/2 * 10 kg * (5 m/s)^2
= 1/2 * 10 * 25
= 125 J (Joules)
Comparing the two values, we can see that the 5 kg object has higher kinetic energy (250 J) than the 10 kg object (125 J).
Therefore, the correct answer is:
The 5 kg object has higher kinetic energy.