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Any help with this problem would be much appreciated.

I am designing a system in which a cart type machine needs to be able to carry a load up a hill with almost no help from the person pushing, My question is how do I calculate how much power is needed by the motor to move the load.

I know:

Total Load = 40KG

Maximum Incline = 14Degrees

The speed it will travel between is 1-4 MPH

I believe the relevant equations are P=MxGxSIN(Angle)xV

Also im not sure but J=FxD

D=Distance

F=Force

J=Joules

M=Mass

G=Gravity

V=Velocity

P=Power

I believe its 40x9.81xSin14x1.78m/s = 169w

I just want to make sure this equation is right and if not what equation I need to use. it would be handy to have an equation as the variables are constantly changing.

Many thanks in advance for your help.