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2 years ago

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Two workhorses tow a barge along a straight canal. Each horse exerts a constant force of magnitude F, and the tow ropes make an

angle θ with the direction of motion of the horses and the barge. Each horse is traveling at a constant speed v.
a. How much work W is done by each horse in a time t? Express the work in terms of the quantities given.
b. How much power P does each horse provide? Express your answer in terms of the quantities given.

1 answer:

morpeh [17]2 years ago

8 0

Answer:

<em>a) Fvt cosθ</em>

<em>b) Fv cosθ</em>

<em></em>

Explanation:

Each horse exerts a force = F

the rope is inclined at an angle = θ

speed of each horse = v

a) In time t, the distance traveled d = speed x time

i.e d = v x t = vt

also, the resultant force = F cosθ

Work done W = force x distance

W = F cosθ x vt = <em>Fvt cosθ</em>

<em></em>

b) Power provided by the horse P = force x speed

P = F cosθ x v

P = <em>Fv cosθ</em>

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