physics
posted by rory .
A car (m = 690.0 kg) accelerates uniformly from rest up an inclined road which rises uniformly, to a height, h = 49.0 m. Find the average power the engine must deliver to reach a speed of 24.9 m/s at the top of the hill in 15.7 s(NEGLECT frictional losses: air and rolling, ...)

Divide the energy acquired at the top of the hill (kinetic PLUS potential) buy the leapsed time (15.7 s). Energy divided by time equals power.
P = [(1/2)MV^2 + M g H]/15.7 s
g = 9.8 m/s^2
H = 49.0 m 
Divide the energy acquired at the top of the hill (kinetic PLUS potential) by the elapsed time (15.7 s). Energy divided by time equals power.
P = [(1/2)MV^2 + M g H]/15.7 s
g = 9.8 m/s^2
H = 49.0 m
M = 690 kg
V = 24.9 m/s
P = (213,900 + 34,290)/15.7 = 18,808 W = 21 horsepower
Check my thinking and numnbers. 
yeah the only thing you did wrong was the final answer it should be 34.72E3 W

I did the MgH term wrong, and agree with your answer.
Respond to this Question
Similar Questions

physics
A car (m = 640.0 kg) accelerates uniformly from rest up an inclined road which rises uniformly, to a height, h = 43.0 m. Find the average power the engine must deliver to reach a speed of 19.9 m/s at the top of the hill in 23.9 s(NEGLECT … 
Phisic mechanic
A car of 1,500 kg accelerates uniformly from rest to a speed of 10 m / s in 3 s. (A) Find the work done on the car during that interval. (B) Find the average power developed by the engine in those first 3 s. (C) Find the instantaneous … 
physics
A car (m = 770.0 kg) accelerates uniformly from rest up an inclined road which rises uniformly, to a height, h = 45.0 m. Find the average power the engine must deliver to reach a speed of 20.9 m/s at the top of the hill in 19.5 s(NEGLECT … 
physics
A 1.50 103kg car starts from rest and accelerates uniformly to 18.5 m/s in 11.3 s. Assume that air resistance remains constant at 400 N during this time. (a) Find the average power developed by the engine. 1 W (b) Find the instantaneous … 
Physics PLEASE HELP
A 2300. kg car starts from rest and accelerates uniformly to 24.0 m/s in 24.0 s. Assume that air resistance remains constant at 510 N during this time. Find (a) the net force on the car b) the average power developed by the engine? 
Physics!!!
A 2300. kg car starts from rest and accelerates uniformly to 24.0 m/s in 24.0 s. Assume that air resistance remains constant at 510 N during this time. Find (a) the net force on the car b) the average power developed by the engine? 
Physics
A car (m = 670.0 kg) accelerates uniformly from rest up an inclined road which rises uniformly, to a height, h = 35.0 m. Find the average power the engine must deliver to reach a speed of 23.9 m/s at the top of the hill in 22.7 s(NEGLECT … 
Physics
A 1.50 ✕ 103kg car starts from rest and accelerates uniformly to 19.3 m/s in 11.7 s. Assume that air resistance remains constant at 400 N during this time. (a) Find the average power developed by the engine. W (b) Find the … 
physics
A 1.50 ✕ 103 kg car starts from rest and accelerates uniformly to 17.1 m/s in 12.7 s. Assume that air resistance remains constant at 400 N during this time. (a) Find the average power developed by the engine. W (b) Find the … 
Physics
A car (m = 610.0 kg) accelerates uniformly from rest up an inclined road which rises uniformly, to a height, h = 49.0 m. Find the average power the engine must deliver to reach a speed of 24.7 m/s at the top of the hill in 20.5 s(NEGLECT …