Question

With an explanation please!

A car of mass 500kg is moving at 10m/s. The engine does work on the car and the speed increases to 16m/s. How much work is done by the engine to increase the speed of the car?

Answer 1

39,000 Joules of Work

Step-by-step explanation:

Work can be found out through the change in Kinetic Energy.

W = ΔKE

Change in KE is:

`W = KE_(Final) - KE_(Initial)`

Expand the equation you get:

`W=(1)/(2) mv^(2)_(f) -(1)/(2) mv^(2)_(i)`

Plugin the known values and solve:

`W=(1)/(2) (500)(16)^(2) -(1)/(2) (500)(10)^(2)`

`W=(250)(256) -(250)(100)`

`W=64000-25000`

`W=39000 J`