A 3.0-kg cat runs to the left at 10m/s and a 12-kg dog runs to the right at 4.0m/s what is the total kinetic energy?
To find the total kinetic energy, we need to calculate the kinetic energy of the cat and the dog separately, and then add them together.
The formula for calculating kinetic energy is:
Kinetic Energy = 1/2 * mass * velocity^2
For the cat:
Mass of the cat = 3.0 kg
Velocity of the cat = -10 m/s (negative because it is running to the left)
Kinetic Energy of the cat = 1/2 * 3.0 kg * (-10 m/s)^2
= 1/2 * 3.0 kg * 100 m^2/s^2
= 150 J
For the dog:
Mass of the dog = 12 kg
Velocity of the dog = 4.0 m/s
Kinetic Energy of the dog = 1/2 * 12 kg * (4.0 m/s)^2
= 1/2 * 12 kg * 16 m^2/s^2
= 96 J
Now, let's add the kinetic energies of the cat and dog:
Total Kinetic Energy = Kinetic Energy of the cat + Kinetic Energy of the dog
= 150 J + 96 J
= 246 J
Therefore, the total kinetic energy of the cat and the dog together is 246 J.