How much work would it take to push a # 1 kg # weight up a # 1 m # plane that is at an incline of # (5pi) / 12 #?

1 Answer
Apr 4, 2018

Answer:

#2.55 \ "J"#

Explanation:

We use the work equation, which states that,

#W=F*d*costheta#

  • #F# is the force in newtons

  • #d# is the distance moved in meters

  • #theta# is the angle of incline

Therefore, the weight is: #1 \ "kg"*9.8 \ "m/s"^2=9.8 \ "N"#.

And so, the work done is:

#W=9.8 \ "N"*1 \ "m"*cos((5pi)/12)#

#=9.8 \ "N"*0.26#

#~~2.55 \ "J"#