Question

When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed is

Answer 1

When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed is 5,400,000

Answer 2

Explanation:

Kinetic energy is the energy obtained by an object due to its motion.

Or mathematically,      Kinetic energy = $\frac{1}{2}mv^{2}$

where       m = mass

                 v = velocity

It is given that mass of roller coaster is 12,000 kg and velocity is 30 m/s.

Therefore, calculate the kinetic energy as follows.

                   Kinetic energy = $\frac{1}{2}mv^{2}$

                                             = $\frac{1}{2}12000 \times (30)^{2}$

                                             = $\frac{1}{2}12000 kg \times 900 m^{2}/s^{2}$

                                             = $6000 \times 900 kg m^{2}/s^{2}$

                                              = $54 \times 10^{5} kg m^{2}/s^{2}$

Thus, kinetic energy is $54 \times 10^{5} kg m^{2}/s^{2}$