Which object has the greatest kinetic energy?
A: a truck with a mass of 3,500 kg moving at 30 m/s
B: a person with a mass of 73 kg running 6 m/s
C: a locomotive engine with a mass of 205,000 kg moving 5 m/s
D: a fast pitched baseball with a mass of .5 kg moving at 46.9 m/s
K.E. = (1/2)MV^2
Substitute the numbers and see which gives the larger KE. Post your work if you get stuck.
where the answer
thanks
whats the answer?
Answers C
To determine which object has the greatest kinetic energy, we need to use the formula for kinetic energy:
Kinetic Energy = (1/2) * mass * velocity^2
Now, let's calculate the kinetic energy for each option:
Option A:
Mass = 3,500 kg
Velocity = 30 m/s
Kinetic Energy of the truck = (1/2) * 3,500 kg * (30 m/s)^2
Option B:
Mass = 73 kg
Velocity = 6 m/s
Kinetic Energy of the person = (1/2) * 73 kg * (6 m/s)^2
Option C:
Mass = 205,000 kg
Velocity = 5 m/s
Kinetic Energy of the locomotive engine = (1/2) * 205,000 kg * (5 m/s)^2
Option D:
Mass = 0.5 kg
Velocity = 46.9 m/s
Kinetic Energy of the baseball = (1/2) * 0.5 kg * (46.9 m/s)^2
Now, let's calculate the values:
Option A:
Kinetic Energy of the truck = (1/2) * 3,500 kg * (30 m/s)^2 = 1,575,000 J
Option B:
Kinetic Energy of the person = (1/2) * 73 kg * (6 m/s)^2 = 3,942 J
Option C:
Kinetic Energy of the locomotive engine = (1/2) * 205,000 kg * (5 m/s)^2 = 2,562,500 J
Option D:
Kinetic Energy of the baseball = (1/2) * 0.5 kg * (46.9 m/s)^2 = 273.0625 J
Based on the calculations, the object with the greatest kinetic energy is Option C, the locomotive engine, with a kinetic energy of 2,562,500 J.