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# PS3 - Physics 16 Spring 2010 Problem Set 3 3.82 IDENTIFY...

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Physics 16 – Spring 2010 – Problem Set 3 3.82. I DENTIFY : Both the bolt and the elevator move vertically with constant acceleration. S ET U P : Let be upward and let at the initial position of the floor of the elevator, so for the bolt is 3.00 m. E XECUTE : (a) The position of the bolt is and the position of the floor is (2.50 m/s) t . Equating the two, . Therefore, . (b) The velocity of the bolt is relative to Earth, therefore, relative to an observer in the elevator (c) As calculated in part (b), the speed relative to Earth is 5.17 m/s. (d) Relative to Earth, the distance the bolt traveled is . E VALUATE : As viewed by an observer in the elevator, the bolt has and , so in 0.782 s it falls . 4.24. I DENTIFY : The reaction forces in Newton’s third law are always between a pair of objects. In Newton’s second law all the forces act on a single object. S ET U P : Let be downward. . E XECUTE : The reaction to the upward normal force on the passenger is the downward normal force, also of magnitude 620 N, that the passenger exerts on the floor. The reaction to the passenger’s weight is the gravitational force that the passenger exerts on the earth, upward and also of magnitude 650 N.

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PS3 - Physics 16 Spring 2010 Problem Set 3 3.82 IDENTIFY...

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