Respuesta :
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
Explanation:
Kinetic energy is the energy obtained by an object due to its motion.
Or mathematically, Kinetic energy = [tex]\frac{1}{2}mv^{2}[/tex]
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 = [tex]\frac{1}{2}mv^{2}[/tex]
= [tex]\frac{1}{2}12000 \times (30)^{2}[/tex]
= [tex]\frac{1}{2}12000 kg \times 900 m^{2}/s^{2}[/tex]
= [tex]6000 \times 900 kg m^{2}/s^{2}[/tex]
= [tex]54 \times 10^{5} kg m^{2}/s^{2}[/tex]
Thus, kinetic energy is [tex]54 \times 10^{5} kg m^{2}/s^{2}[/tex]
