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?

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 .

a) are muscles that have bands.

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force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.