Which of the following four bodies has the greatest kinetic energy?
a. A body of mass 1 kg moving with speed 1000 m/s.
b. A body of mass 2 kg moving with speed 50 m/s
c. A body of mass 3 kg moving with speed 50 m/s
d. A body of mass 50 kg moving with speed 2 m/s
e. A body of mass 50 kg moving with speed 2 m/s
multiply mass*velocity*velocity. Which is greater. Hint,speed squared is a big factor.
To determine which body has the greatest kinetic energy, we need to use the formula for kinetic energy, which is given by:
Kinetic Energy (KE) = 0.5 * mass * velocity^2
Let's calculate the kinetic energy for each body and compare their values:
a. KE_a = 0.5 * 1 kg * (1000 m/s)^2 = 0.5 * 1 kg * 1000000 m^2/s^2 = 500,000 J
b. KE_b = 0.5 * 2 kg * (50 m/s)^2 = 0.5 * 2 kg * 2500 m^2/s^2 = 2500 J
c. KE_c = 0.5 * 3 kg * (50 m/s)^2 = 0.5 * 3 kg * 2500 m^2/s^2 = 3750 J
d. KE_d = 0.5 * 50 kg * (2 m/s)^2 = 0.5 * 50 kg * 4 m^2/s^2 = 100 J
e. KE_e = 0.5 * 50 kg * (2 m/s)^2 = 0.5 * 50 kg * 4 m^2/s^2 = 100 J
Comparing the values, we can see that bodies a and c have the greatest kinetic energy, which is 500,000 J and 3750 J, respectively. So, the answer is either a or c, depending on which value is higher.