How High Can a Motor Lift a Mass Using a Charged Capacitor?

[map7s]

Homework Statement

A 0.45 µF capacitor is charged by a 1.5 V battery. After being charged, the capacitor is connected to a small electric motor. Assuming 100% efficiency, to what height can the motor lift a 4.7 g mass?

Homework Equations

I really need some direction to start off this problem. I think that I probably need to use U=1/2QV=1/2CV^2=Q^2/2C and/or Q=CV but I have no idea how to go about doing this.

 

[antonantal]

The whole idea of this problem is that if the efficiency is 100% no energy will be lost. So all http://hyperphysics.phy-astr.gsu.edu/hbase/electric/capeng2.html" will be used to lift that mass. Now what would be the energy necessary to lift that mass to a height h?

 

[map7s]

So...would I have to use Q=CV to find out Q and then use U=1/2QV to find out U ?

 

[antonantal]

So...would I have to use Q=CV to find out Q and then use U=1/2QV to find out U ?

You could use any of the 3 formulas you mention, though since you know $$C$$ and $$V$$ the fastest would be to use $$U=\frac{CV^2}{2}$$