Question

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is...

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 59.0?. Dog A exerts a force of 258N , and dog B exerts a force of 338N .

Part A Find the magnitude of the resultant force.

Part B Find the angle the resultant force makes with the rope of dog A.

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Answer #1

The angle between the dogs, theta = 59 degrees

The force exerted by dog A, FA = 258 N

The force exerted by dog B, FB = 338 N

The magnitude of the resultant force, F = FA cos(theeta) + FB cos(theeta)

                                                            = 258 cos31 + 338 cos31 = 510.87 N

The angle that the resultant force makes with dog A's rope = 31 degrees.

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