How Do You Calculate the Average Power Developed by a Car Engine on a Hill?

[Szeki]

A car of mass 1500kg arrives at the foot of a straight hill traveling at
30m/s. it reaches the top of the hill 40 seconds later traveling at 10m/s. The length of the hill is 1km and the gain in height is 120metres. The average resistance to the motion is 500N.
Find The average power developed by the engine.

Answer is 42.5kW.

PLEASE HELP UrgenT !

 

[dextercioby]

1.-st question: why do you post this in "Calculus & Beyond", when this is clearly "Introductory Physics" type ?

2. If you have the guidelines of this particular homework-help forum, then you should be able to answer the following question:

"What have you tried so far ?"

Daniel.

 

[kyle8921]

Hello, it looks like you have provided all the necessary information to solve this problem. The first step would be to calculate the average acceleration of the car using the given information. Once you have the acceleration, you can use the equation P = F x v, where P is power, F is force, and v is velocity, to calculate the average power developed by the engine. Remember to convert the units to the correct form (m/s to km/h and N to kgm/s^2). I hope this helps!