A car travels at a constant velocity of 20.0 meters/second for 15 seconds. What is the power of the car if the initial force applied to it was 95 newtons?
Work done by the force = Force x displacement. Power = work done/time = F.s/t = F.u.t/t = F.u = 95 x 20 = 1900J. {S=ut because acceleration is zero since car is moving at constant velocity}.
The correct answer to the question is 1900 Joule.
CALCULATION:
As per the question, the velocity of the car v = 20.0 m/s.
The time taken by the car t = 15 seconds.
The initial force applied on the car F = 95 N.
We are asked to calculate the power of the car.
Let the displacement of the car is denoted as S.
Let the power of the car is P.
The power of a car is defined as the word done by the car per unit time.
Hence, the power P = \(\frac{W}{t}\)
= \(\frac{\vec F.\vec S}{t}\)
= \(\vec F.\frac{S}{t}\)
= \(\vec F.\vec v\)
= \(Fvcos\theta\)
Here, \(\theta\) is the angle between force and velocity.
If \(\theta= 0^{0}\), then P = Fv.
Hence, the power of the car is calculated as -
P = 95 N × 20.0 m/s
= 1900 Joule.