How much work would it take to push a #15 kg # weight up a # 5 m # plane that is at an incline of # pi / 12 #?

1 Answer
Nov 15, 2017

Answer:

#"work" = 190 J#

Explanation:

My first step will be to convert to degrees - only because my calculator is in that mode.
#pi/12 * (180^@/pi) = 15^@#

The component of the weight of the 15 kg weight that points down the incline is #15 kg*9.8 m/s^2*sin15 = 38 N#.

Therefore a force of 38 N pointed up the incline will be required to push this weight up the incline. The work of pushing it for 5 m will be
#"work" = 38 N*5m = 190 N*m = 190 J#

I hope this helps,
Steve