Question

A horse pulls a barge along a canal using a rope 10m

long. If the barge is 2 m from the bank, the rope is taut

and the tension in it is 500N, what are the components of

this force:

a at right-angles to the canal:

b along the line of the canal?

Answer 1

Step-by-step explanation:

Here the rope is 10m long and making an angle of θ with the direction of canal or direction of flow of water in the canal .

sinθ = 2 / 10 = .2

θ = 11.5⁰

a )

Component of 500 N along the line perpendicular to the canal

= 500 sinθ

= 500 sin 11.5

= 100 N

b )

component of 500 N along the canal

= 500 cos 11.5

= 490 N approx .