How much work would it take to push a # 9 kg # weight up a # 12 m # plane that is at an incline of # pi / 6 #?

1 Answer
Apr 21, 2016

Answer:

#529.2Nm#

Explanation:

There is a vertical down force, called weight, which is given by

#W=mg=9kg*9.8m/s^2=88.2N#.

However, you can't actually move vertically down, because the plane gets in the way, so gravity instead acts as close as it can to straight down - it acts down the plane.

Using trigonometry, you can find the angle down the plane is

#F_("down plane")=88.2sin(pi/6)=88.2N*1/2=44.1N#.

If this is the force down the plane, the force up the plane in order to move it must be the same, so

#F_("up plane")=44.1N#.

The question is actually asking for work, which is given by

#"Work"=Fd#,

where #d# is distance, given as #12m# in the question, so

#"Work"=44.1N*12m=529.2Nm#