How much work would it take to push a # 2 kg # weight up a # 15 m # plane that is at an incline of # pi / 4 #?

1 Answer
Mar 29, 2018

Answer:

Approximately #208 \ "J"#.

Explanation:

We use the work equation, which states that,

#W=F*d*costheta#

  • #F# is the force in newtons

  • #d# is the distance in meters

  • #theta# is the angle of incline

And so, we find that the force is the weight of the box.

Weight is given by,

#W=mg#

  • #m# is the mass in kilograms

  • #g# is the gravitational acceleration, which is approximately #9.8 \ "m/s"^2#

And so, we find that,

#W=2 \ "kg"*9.8 \ "m/s"^2=19.6 \ "N"#

Then, the work done is:

#W=19.6 \ "N"*15 \ "m"*cos(pi/4)#

#=294*sqrt(2)/2 \ "J"#

#~~208 \ "J"#