How Does a Heat Engine Lift a Mass Efficiently?

[CloCon]

Homework Statement

A heat engine operating between temperatures of 500 K and 300 K is used to lift a 10-kilogram mass vertically at a constant speed of 4 meters per second.

(a) Determine the power that the engine must supply to lift the mass.

(b) Determine the maximum possible efficiency at which the engine can operate.

(c) If the engine were to operate at maximum possible efficiency, determine the following:

i. The rate at which the hot reservoir supplies heat to the engine
ii. The rate at which heat is exhausted to the cold reservoir

Homework Equations

F = ma
W = FD
Pavg = Change in Work / Change in Time

The Attempt at a Solution

(a) F = ma
F = 10 kg * 9.8 m/s^2
F = 98 N

How can I find power without being given a displacement? Power is a function of work and time, and work is a function of force and displacement - All I have is force.

Solution attempts for B and C forthcoming when I figure out A.

 

[rl.bhat]

Output power also defined as W = F*v, where v is the velocity.
Temperatures of the source and sink is given.Find the efficiency of the engine.
Efficiency = Output power/Input power.