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in fig. 12-30, trying to get his car out of mud, a man ties one end of a rope around the front bumper and the other end tightly around a utility pole 18 m away. he then pushes sideways on the rope at its midpoint with a force of 550 n, displacing the center of the rope 0.30 m, but the car barely moves.what is the magnitude of the force on the car from the rope? (the rope stretches somewhat.)



Answer :

The force on the car from the rope is 27496N.

The sum of forces in y direction is zero.

F = Tsinθ - Tsinθ =0

F - 2T SINθ = 0

T = F/2sinθ

Tan θ = .28/18 = 0.015

θ = [tex]tan^{-1}[/tex] 0.015 = 0.8593

T = 550 / 2sin (0.8593)

T = 27500 N

Fcar = Tcosθ

Fcar = Tcos[0.8593]

Fcar = 27496N

All the planets are maintained in their orbits around the sun by the force of gravity. Many of the large-scale structures in the Universe are caused by gravity because the gravitational attraction between the original gaseous stuff in the Universe allowed it to combine and form stars, which then condensed into galaxies. Although the reach of gravity is limitless, its effects diminish with increasing distance.

The general theory of relativity, which Albert Einstein proposed in 1915, is the theory that most accurately describes gravity. According to this theory, gravity is not a force but rather the curvature of spacetime brought on by an imbalance in the distribution of mass, which causes masses to move along geodesic arcs.

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