Question

The velocity of car increase from 52km/hr to 72km/hr . if the mass of a car is 1500 kg. find the work done to increase the velocity. With steps

Answer 1

hello here is your answer ....

Mass of the car = 1500 kg

initial velocity = 52 km/h ➡52*5/18➡3*5➡15 m/s

final velocity = 72 km/h ➡72*5/18➡4*5➡20
m/s

Initial kinetic energy = 1/2 mv²
= 1/2 *1500 * (15)²
= 1/2 *1500 * 225
= 16850 J

Increase Kinateic energy = 1/2 mv²
= 1/2 *1500 * (20)²
=1/2 *1500 * 400
= 300000

So,
work done = Change in kinetic energy
= 300000-16859
= 131250 J

$\mathfrak{\huge{\blue{\underline{work\: = 131250\:J }}}}$