How much work would it take to push a # 12 kg # weight up a # 3 m # plane that is at an incline of # pi / 3 #?

1 Answer

Answer:

Work #W=F*s=407.378" "#Joules

Explanation:

Let #F# the force in the direction of the inclined plane at #pi/3#
Given mass #m=12 " "#kg
distance #d=3" "#meters
Acceleration due to gravity #g=9.8 " "#m/s^2#

The weight #W#:

#W=mg=12*(9.8)=117.6" "#Newton

The working equation

#F sin (pi/3)= W#

solving for #F#

#F=W/(sin (pi/3))=117.6/(sin(pi/3))=135.793" "#Newtons

Solve for the work #W#

#W=F*d=135.793(3)=407.378" "#Joules

God bless....I hope the explanation is useful.