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 …

Question

asked Mar 3, 2021 193k views

1 Answer

Radu Damian · Answer 1 · 2021-03-07T17:52:02+0000

Answer:

Step-by-step explanation:

Given

mass of vehicle
$m=1500\ kg$

Speed of vehicle
$u=50\ km/hr\approx 13.89\ m/s$

Kinetic Energy Possessed by mass

K_i=(1)/(2)mu^2

K_i=(1)/(2)* 1500* (13.89)^2

$K_i=144.69\ kJ$

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

Kinetic Energy at this speed

K_f=(1)/(2)mv^2

K_f=(1)/(2)* 1500* (2.78)^2

$K_f=5.78\ kJ$

Energy Recovered
=K_i-K_f

Energy Recovered
$=144.69-5.78=138.9\ kJ$