Power Calculation for Car Accelerating on Inclined Road: Find Net Power [SOLVED]

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SUMMARY

The discussion focuses on calculating the net power required for a car with a mass of 760 kg to accelerate uniformly up an inclined road to a height of 45 m, reaching a speed of 25.1 m/s in 20.7 seconds. The key formula used is P = W/T, where P represents power, W is work done, and T is time. The solution involves applying the work-energy theorem and conservation of energy principles, specifically calculating gravitational potential energy as mgh. The final answer confirms the correct application of these concepts to solve the problem.

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[SOLVED] Power Problem

Homework Statement


A car (m = 760 kg accelerates uniformly from rest up an inclined road which rises uniformly, to a height, h = 45 m. Find the net power the engine must deliver to reach a speed of 25.1 m/s at the top of the hill in 20.7s (NEGLECT frictional losses: air and rolling, ...)
http://capaserv.physics.mun.ca/msuphysicslib/Graphics/Gtype12/prob28_1010caraccelpower.gif



Homework Equations


P=W/T


The Attempt at a Solution



I tried to get through this but the computer said i had the wrong answer. Here's the hint it gave me:
Hint: Don't forget that the car has a non-zero speed at the top of the hill. Use conservation of energy, what is the total energy of the car at the top of the hill?

Most of this assignment has been on Work energy theorem. If anyone could give me a direction to go would be greatly appreciated
 
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So use[tex]\sum[/tex]W = ef -ei?

Is the initial energy =0?

and Grav potential, is that mgh?Alright nevermind i got it. thanks a lot!
 
Last edited:

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