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.
To determine which object has higher kinetic energy, we can use the formula for kinetic energy: KE = 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 is calculated as follows:
KE1 = 0.5 * 5 kg * (10 m/s)^2
KE1 = 0.5 * 5 kg * 100 m^2/s^2
KE1 = 250 joules
For the second object with a mass of 10 kg and a speed of 5 m/s, the kinetic energy is calculated as follows:
KE2 = 0.5 * 10 kg * (5 m/s)^2
KE2 = 0.5 * 10 kg * 25 m^2/s^2
KE2 = 125 joules
Comparing the two values, we can see that KE1 = 250 joules is greater than KE2 = 125 joules. Therefore, the object with a mass of 5 kg and a speed of 10 m/s 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 need to use the formula for kinetic energy: KE = 1/2 * mass * velocity^2.
For the first object with a mass of 5 kg and a velocity of 10 m/s, the kinetic energy would be KE1 = 1/2 * 5 kg * (10 m/s)^2 = 250 J.
For the second object with a mass of 10 kg and a velocity of 5 m/s, the kinetic energy would be KE2 = 1/2 * 10 kg * (5 m/s)^2 = 125 J.
Comparing the two values, we can see that KE1 = 250 J is higher than KE2 = 125 J. Therefore, the object with a mass of 5 kg and a velocity of 10 m/s has higher kinetic energy.
Thus, the correct response is:
The 5 kg object has higher kinetic energy.