Question

A football coach sits on a sled while two of his players build their strength by dragging the sled across the field with ropes. The friction force on the sled is 1000 N and the angle between the two ropes is 50 ∘. Assume both players pull with the same force. Part A How hard must each player pull to drag the coach at a steady 2.0 m/s? Express your answer with the appropriate units.

Answer 1

`F = 551.6 N`

Step-by-step explanation:

When two players are pulling the sled by same force inclined at 50 degree Angle so the net force is given as

`F_(net) = √(F^2 + F^2 + 2F^2cos\theta)`

`F_(net) = F√(2 + 2cos\theta)`

`F_(net) = F√(2 + 2cos50)`

`F_(net) = 1.81 F`

now since the sled is moving with uniform speed so

`F_(net) = F_f`

now we have

`1.81 F = 1000`

`F = 551.6 N`