Out for a drive through the brickwoods, David gets his truck stuck in the mud in

Question

Out for a drive through the brickwoods, David gets his truck stuck in the mud in the woods. Really struck. Being a smart physicist he ties his truck to a tree and pushes perpendicularly to the nearly taut, as seen in Fig. below. The figure is a top-down view of the mire in which David is stuck.) When the angle between the rope and its original position is 5 degree. David is pushing with a force of 485 N. What is the force the rope is exerting on the truck? (Hint: The vector sums should be zero.)

Explanation / Answer

see the force along the vertical direction is 485N so the force along the rope i.e the hypotenuse of the right andled triangle would be 485/sin5 i.e. 5564.75N

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