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## Homework Statement

A car of weight 1920 N operating at a rate of

107 kW develops a maximum speed of 41 m/s

on a level, horizontal road.

Assuming that the resistive force (due to

friction and air resistance) remains constant,

what is the car’s maximum speed on an incline

of 1 in 20; i.e., if θ is the angle of the incline

with the horizontal, sin θ = 1/20 ?

Answer in units of m/s.

## Homework Equations

This is the equation that i believe we have to use.

P=F x V

## The Attempt at a Solution

So we have 107 kW which i assume i have to change to 107000 W.

Then we do 107000= F x 41m/s

i got F=2609.7560

Then for the incline plane the Watts should be the same but im not sure what to do with the angle of the incline. Should I tack it on to the force? sin θ = 1/20 I guess that means the hypotenuse is 20 and the height of the incline is 1. And im not sure where the weight of the car comes into play.