(b) During the attack, what is the stretched length of the cord? Canal boats are

Question

(b) During the attack, what is the stretched length of the cord? Canal boats are pulled along the canal by a team of horses who walk along a tow path on one bank of the canal. The canal boat resists being pulled into the bank, setting its angle away from the bank by using its rudder. Given: A canal boat is being towed by a rope 10m long. When the boat is 3.0 m from the tow path, a tension in the rope of 240 N keeps the boat moving at a uniform constant velocity. Find: (a) What is the angle the rope makes with the canal bank? (b) How much of the tow rope force is in the forward direction? (c) How much of the tow rope force is sidewards? A water-skier plans to leap from a ramp. To get on the ramp, the skier pulls to one side of the path of the boat, so that the boat can pass on one side the ramp skier can be pulled onto the ramp and fly

Explanation / Answer

here,

tension , T = 240 N

a)

the angle the rope makes with the canal bank , theta = arcsin(3/10)

theta = 17.5 degree

b)

the force by Tow rope in forward direction , Tf = T * cos(theta)

Tf = 240 * cos(17.5)

Tf= 228.9 N

c)

the force by the tow rope in sideward direction , Ts = 240* sin(theta)

Ts = 72 N

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