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algol13
3 years ago
14

A worker with spikes on his shoes pulls on rope that is attached to a box that is resting on a flat, frictionless frozen lake. T

he box has mass m, and the worker pulls with a constant tension T at an angle θ = 40 ∘ above the horizontal. There is a strong headwind on the lake, which produces a horizontal force Fw that is pointed in the opposite direction than the box is being pulled. Draw a free-body diagram for this system. Assume that the worker pulls the box to the right. If the wind force has a magnitude of 30 N, with what tension must the worker pull in order to move the box at a constant velocity?

Physics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

a

The free body diagram is shown on the first uploaded image

b

The tension on the rope is  T=39.16 \ N  

Explanation:

From the  question we are told that

    The mass of the box is  m

    The tension on the box is  T

     The angle at which it is pulled is  \theta =  40^o

     The force produced by the strong head wind is Fw =  30 \ N

At equilibrium the net force acting on the block along the horizontal axis is zero i.e

     Tcos \theta -F_w = 0

substituting values

     Tcos (40) -30 = 0

     Tcos (40)  = 30

     T(0.76604))  = 30

     T=39.16 \ N      

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