Question

Consider the Corvette (w=3020 lbs) having constant
acceleration of a=0.91g
a) What is the power when v=10 mph?
b) What is the power output when v=100 mph?

Answer 1

Given that,

Weight of the corvette is 3020 lbs.

Acceleration, a = 0.91 g

To find,

(a) What is the power when v=10 mph?

(b) What is the power output when v=100 mph?

Solution,

The rate at which the work is done is called power. It is given by :

$P=\dfrac{W}{t}$

W = F d and velocity, v = d/t

So,

$P=F\times v$

Since, 3020 lbs = 13433.62 N

And 1 mph = 0.447 m/s

(a) If v = 10 mph = 4.47 m/s

$P=13433.62\ N\times 4.47\ m/s\\\\P=60048.28\ W\\\\P=60.04\ kW$

(b) If v = 100 mph = 44.7 m/s

$P=13433.62\ N\times 44.7\ m/s\\\\P=600482.81\ W\\\\P=600.48\ kW$

Hence, this is the required solution.