How much work would it take to push a # 4 kg # weight up a # 15 m # plane that is at an incline of # pi / 4 #?

1 Answer

Answer:

#416.203\ J#

Explanation:

Assuming that there is no friction on the plane i.e. there is no loss of energy then the work done, on the weight of #4\ kg# to push up a distance of #15\ m# on the plane inclined at an angle #\theta=\pi/4# , is equal to the change in potential energy to lift weight to a vertical height #15\sin(\pi/4)# given as follows

#Mgh#

#=4\cdot 9.81\cdot 15\sin(\pi/4)#

#=416.203\ J#