Physics: power question

[scan]

A cable car is operated on a slope 1000 m long making an angle of 30deg. with the horizontal. The cable car moves up the slope with a speed of 3.5 m/s and carries 20 persons of average weight 600 N. What power is needed?

[stunner5000pt]

first of all

SHOW US YOU ACTUALLY TRIED TO SOLVE THIS!

secondly draw a free body diagram

what is the change is height of the cable car ? If there is a change in height what else can change (in energy terms)

In order to take something up a height what is needed? To bring about the change in energy we need work.

Figure out the time needed for the cable car to go up that incline.

Now you have work and time thus you have power

[Sirus]

A kinda similar problem (see the last post for a good method for this type of question): http://www.physicsforums.com/showthread.php?t=45686&highlight=watts+energy