How much work would it take to push a # 9 kg # weight up a # 1 m # plane that is at an incline of # pi / 4 #?

1 Answer
Jun 23, 2018

Answer:

The work is #=62.37J#

Explanation:

The work is equal to the gain of potential energy

#W=PE#

The potential energy is

#PE=mgh#

The mass of the object is #m=9kg#

The acceleration due to gravity is #g=9.8ms^-2#

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

Therefore,

#PE=9*9.8*sqrt2/2=62.37J#