PHYS 1010 Study Guide - Midterm Guide: Antiderivative, Circular Motion, The Crate

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Time: 50 minutes; calculators & formulae provided at the end = only aid; total = 20 points. 1)[5] a crate (m = 1. 0 102 kg) needs to be pulled across a smooth oor by john and bob as shown in the gure. The friction coe cients are known as s = 0. 25, k = 0. 10. The crate location at time t = 0 is shown, john pulls with fj = 1. 0 102 n, and bob with fb = 2. 0 102. Provide answers for x(t) and y(t), i. e. , for the position vector of the motion. 1: [5] derive the formula for the centripetal acceleration (acp = v2 r ) from the position vector describing uniform circular motion (formula sheet! ), and show the direction for the acceleration vector. 2: [5] calculate the earth"s linear speed in its motion around the sun starting from the law of gravity and newton"s 2nd law.