Question

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. The 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?

Answer 1

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

     $Tcos (40) -30 = 0$

     $Tcos (40) = 30$

     $T(0.76604)) = 30$

     $T=39.16 \ N$