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

Question

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.

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Amity 4 years 2021-07-26T17:00:36+00:00 1 Answers 58 views 0

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  1. mocmien2
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    2021-07-26T17:02:23+00:00
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    Answer:

    a) Fvt cosθ

    b) Fv cosθ

    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 = Fvt cosθ

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

    P = F cosθ x v

    P = Fv cosθ

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