solution-hw10

# solution-hw10 - lai(yl8859 HW10 Ross(15200 This print-out...

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lai (yl8859) – HW10 – Ross – (15200) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points A 3 . 6 kg block moving along the x axis is acted upon by a single horizontal Force that varies with the block’s position according to the equation F x = ax 2 + b, where a = 4 N / m 2 , and b = - 1 . 8 N. At 1 . 7 m, the block is moving to the right with a speed oF 3 . 5 m / s. Determine the speed oF the block at 2 . 6 m. Correct answer: 4 . 55302 m / s. Explanation: The change in the potential energy is Δ U = U f - U i = - i f i F x dx = - i f i ( 2 + b ) dx = p 1 3 3 i + bx i P - p 1 3 3 f + f P = 15 . 264 J . ±rom conservation oF energy, K i + U i - U f = K f or mv 2 i 2 + Δ U = 2 f 2 . Solving For v f , we have v f = r v 2 i - U m = R (3 . 5 m / s) 2 + 2(15 . 264 J) 3 . 6 kg = 4 . 55302 m / s . 002 (part 1 oF 3) 10.0 points A 1710 kg car accelerates uniFormly From rest to 11 . 1 m / s in 4 . 6 s. ±ind the work done on the car in this time interval.

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solution-hw10 - lai(yl8859 HW10 Ross(15200 This print-out...

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