Question

Before railroad were invented, goods often traveled along canals, with mules pulling barges from the bank. If a mule is exerting a 12,000N force for 10km, and the rope connecting the mule to the barge is at a 20 degree angle from the direction of travel, how much work did the mole do on the barge?

A. 12MJ
B. 11MJ
C. 4.1MJ
D. 6MJ

Answer 1

W = 112.76MJ

Step-by-step explanation:

the work is:

`W = F_xD`

where
`F_x` is the force executed in the direction of the displacement and the d the displacement.

so:

W = 12000Ncos(20)(10000)

we use the cos of the angule because it give us the proyection in the axis x of the force, that means the force in the direction of the displacement.

W = 112.76MJ