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

Answer:

$F = 551.6 N$

Explanation:

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

$F_{net} = \sqrt{F^2 + F^2 + 2F^2cos\theta}$

$F_{net} = F\sqrt{2 + 2cos\theta}$

$F_{net} = F\sqrt{2 + 2cos50}$

$F_{net} = 1.81 F$

now since the sled is moving with uniform speed so

$F_{net} = F_f$

now we have

$1.81 F = 1000$

$F = 551.6 N$