Question
In the diagram below, Object A is moving with a speed of 10 m/s and Object B is moving with a speed of 5 m/s. Both objects have a mass of 10 kg. Which object in the diagram has more kinetic energy?
Captionless Image
Responses
Object A
Object A
Object B
Object B
They have the same amount of energy.
Object A
To determine which object has more kinetic energy, we can use the equation for kinetic energy:
Kinetic Energy = (1/2) * mass * velocity^2
Let's calculate the kinetic energy for each object:
For Object A:
Mass = 10 kg
Velocity = 10 m/s
Kinetic Energy of Object A = (1/2) * 10 kg * (10 m/s)^2
Kinetic Energy of Object A = (1/2) * 10 kg * 100 m^2/s^2
Kinetic Energy of Object A = 500 J (joules)
For Object B:
Mass = 10 kg
Velocity = 5 m/s
Kinetic Energy of Object B = (1/2) * 10 kg * (5 m/s)^2
Kinetic Energy of Object B = (1/2) * 10 kg * 25 m^2/s^2
Kinetic Energy of Object B = 125 J (joules)
Therefore, Object A has more kinetic energy with 500 J, while Object B has 125 J. So the correct answer is:
Object A
To determine which object in the diagram has more kinetic energy, we need to calculate the kinetic energy of both objects and compare the results.
The formula to calculate kinetic energy is:
Kinetic Energy (KE) = 0.5 * mass * velocity^2
Where:
- KE is the kinetic energy of the object
- mass is the mass of the object
- velocity is the speed of the object
Let's calculate the kinetic energy of both objects:
For Object A:
Mass = 10 kg
Velocity = 10 m/s
KE_A = 0.5 * 10 kg * (10 m/s)^2
KE_A = 0.5 * 10 kg * 100 m^2/s^2
KE_A = 500 J (Joules)
For Object B:
Mass = 10 kg
Velocity = 5 m/s
KE_B = 0.5 * 10 kg * (5 m/s)^2
KE_B = 0.5 * 10 kg * 25 m^2/s^2
KE_B = 250 J (Joules)
Comparing the calculations, we can see that Object A has a kinetic energy of 500 J while Object B has a kinetic energy of 250 J. Therefore, Object A has more kinetic energy than Object B in the given diagram.