Tuesday, March 22, 2011

Billy tests the acceleration of his 950kg automobile, and finds that it can go 0 to 100km/h (27.8m/s) in 8.52 seconds. The engine...provides a...

The mass of Billy's automobile is 950 kg. The force
provided by the engine is 10.74 kN.


There are two
significant forces acting on the automobile which determine its rate of acceleration.
One is the force provided by the engine in the forward direction and another is an
opposing force in the backward direction due to
friction.


The acceleration of the automobile is (change in
velocity)/time


=> (27.8 -
0)/8.52


=> 3.2629
m/s^2


If the force due to friction is F, the net force in
the forward direction is the product of mass and
acceleration


=> 950*3.2629 = 3099.76 N or 3.099
kN


The force provided by the engine is 10.74 kN. So the
frictional force is F = 10.74 - 3.099 = 7.641
kN


The average force of friction is 7.641
kN.

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