Physics Problem Help Please?
a man is trying to get his car out of mud on the shoulder of a road. He ties one end of a rope tightly around the front bumper and the other end tightly around a utility pole 22 m away. He then pushes sideways on the rope at its midpoint with a force of 360 N, displacing the center of the rope 0.44 m from its previous position, and the car barely moves. What is the magnitude of the force on the car from the rope? (The rope stretches somewhat.)
Hello
This is a parallelogram of force. The angle by which the rope is pushed sidewards is
arctan/0,44/11 = 2,29°.
Let us take the 0,44 m as 360 N and x as the tension in the rope. Then
sin(2,29°) = 360/x =>
x = 360/sin(2,29°)
x = 9169 N.
It is known that the forces in the rope grow to unlimited if the rope is tight and a force pushes to the side or pulls to the side. So I wonder a bit that the car did not move. It should have moved.
Regards
Condor Outdoor: Utility Shoulder Bag