Two ropes are attached to the bumper of a car. One person pulls the first rope with a force of 62 pounds at an angle of 38o to the horizontal ground, while another person pulls the second rope with a force of 46 pounds at an angle of 52o to the horizontal ground. The same effect can be produced by a single rope pulling with what force and at what angle to the ground?

asked by @kulu1 • 7 months ago • Physics • 5 pts
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1 answer

1 pound=4.45 N

First person:

F1=275.9 N

F1x=F1cos38=217.4N

F1y=F1sin38=169.9N

Second person:

F2=204.7N

F2x=F1cos52=126N

F2y=F2sin52=161.3N

Total force in the x direction

Fx=F1x+F2x=343.4N

Total force in the y direction

Fy=F1y+F2y=331.2N

F=sqrt(Fx^2+Fy^2)=477.02

At an angle of 0 degrees with the horizontal.

answered by @juanv2 • 6 months ago