A vehicle of mass 1,500 kg is traveling at a speed of 50 km/hr. What is the kinetic energy stored in its mass? Calculate the energy that can be recovered by slowing the vehicle to a speed of 10 km/hr.

Respuesta :

Answer:

Explanation:

Given

mass of vehicle [tex]m=1500\ kg[/tex]

Speed of vehicle [tex]u=50\ km/hr\approx 13.89\ m/s[/tex]

Kinetic Energy Possessed by mass

[tex]K_i=\frac{1}{2}mu^2[/tex]

[tex]K_i=\frac{1}{2}\times 1500\times (13.89)^2[/tex]

[tex]K_i=144.69\ kJ[/tex]

when vehicle is slowed down to speed of [tex]v=10\ km/hr\approx 2.78\ m/s[/tex]

Kinetic Energy at this speed

[tex]K_f=\frac{1}{2}mv^2[/tex]

[tex]K_f=\frac{1}{2}\times 1500\times (2.78)^2[/tex]

[tex]K_f=5.78\ kJ[/tex]

Energy Recovered [tex]=K_i-K_f[/tex]

Energy Recovered[tex]=144.69-5.78=138.9\ kJ[/tex]