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 objects have equal kinetic energy.
The objects have equal kinetic energy.
The 10 kg object has higher kinetic energy.
The 10 kg object has higher kinetic energy.
Both objects have zero kinetic energy.
The higher the mass or the higher the speed of an object, the higher its kinetic energy. In this case, the 10 kg object has a higher mass than the 5 kg object, but the 5 kg object has a higher speed than the 10 kg object. Since the speed has a greater impact on kinetic energy than mass, the 5 kg object has higher kinetic energy. Therefore, the correct answer is:
The 5 kg object has higher kinetic energy.
To determine which object has higher kinetic energy, we need to use the formula for kinetic energy:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
For the 5 kg object:
KE1 = (1/2) * 5 kg * (10 m/s)^2
KE1 = (1/2) * 5 kg * 100 m^2/s^2
KE1 = 250 J
For the 10 kg object:
KE2 = (1/2) * 10 kg * (5 m/s)^2
KE2 = (1/2) * 10 kg * 25 m^2/s^2
KE2 = 125 J
Comparing the kinetic energies:
KE1 = 250 J
KE2 = 125 J
Therefore, the 5 kg object has higher kinetic energy.
To determine which object has higher kinetic energy, we need to use the formula for kinetic energy:
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 kg * 100 m^2/s^2
= 250 J (joules)
For the 10 kg object:
KE = 1/2 * 10 kg * (5 m/s)^2
= 1/2 * 10 kg * 25 m^2/s^2
= 250 J (joules)
So, both objects have the same kinetic energy, which is 250 joules. Therefore, the correct answer is:
The objects have equal kinetic energy.