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Unless otherwise stated, all objects are located near the Earth\'s surface, wher

ID: 2186983 • Letter: U

Question

Unless otherwise stated, all objects are located near the Earth's surface, where = 9.8 . You are told that an object has zero acceleration. Two forces on the object are = 3.2 at 76 below the +x-axis and = 3.2 at 32 above the -x-axis. Is there a third force on the object? yes no Why or why not? Essay answers are limited to about 500 words (3800 characters maximum, including spaces). If there is a third force, what is it? Find the magnitude of the force. Express your answer using two significant figures. Find the direction of the force. Express your answer using two significant figures.

Explanation / Answer

F1 = 3.2 ( cos76i - sin76 j ) F3 = 3.2( cos32 i + sin32 j ) gravitational force = -mg j for acceleration to be zero, F1+F2 + Mg + F3 =0 sum the forces. 0.774 i -3.06j + 2.71 i+ 1.69 j - m 9.8 + F4 F4 = -3.484i +1.37 j +M9.8

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