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Calculate Thrusting Force of Car Driving Uphill

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A car goes up some hill at an angle theta.

The FBD shows that in the y-direction: n = mg*cos(theta), where n is the normal force.

In the x-direction:

T - mg*cos(theta) - mu*(mg*sin(theta)) = m*a_x (where T is the thrusting force of the car).

Is it possible to figure out what the thrusting force will be before-hand, i.e. I want to know if there is some way of getting T, and then solving what a_x would be.

All I am given about the car is its horsepower at 115 hp, and the fact that according to the manufacturer, it can go from 0 - 100 km/h in 10.4 seconds.

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Solution Summary

Provides steps necessary to calculate the thrusting force of the car.

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