How much work would it take to push a # 1 kg # weight up a # 1 m # plane that is at an incline of # pi / 4 #?

1 Answer
Mar 2, 2018

Answer:

The work is #=6.93J#

Explanation:

The work done to push the object up the plane is equal to the gain in potential energy.

The height of the plane is

#h=1*sin(pi/4)=sqrt2/2m#

The mass of the object is #m=1kg#

The acceleration due to gravity is #g=9.8ms^-1#

The potential energy is

#PE=mgh=1*9.8*sqrt2/2=6.93J#