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# a6_001 - constant of 1 75 × 10 3 N/m a By how much does...

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PHY 2053, Section 3794, Fall 2009, Quiz 6 1. A 5.70 kg bowling ball moves at 1.65 m/s. a) How fast must a 147 g baseball move so that the two have the same kinetic energy. 1 2 m 1 v 2 1 = 1 2 m 2 v 2 2 = v 2 = v 1 × r m 1 /m 2 = 1 . 65 × R 5 . 70 0 . 147 = 10 . 3 m / s . b) If the bowling ball got all its kinetic energy from falling down a frictionless chute, from what height did it fall? mg h = 1 2 mv 2 = h = v 2 2 g = 1 . 65 2 2 × 9 . 80 = 13 . 9 cm . 2. A 4.45 kg brick is hung from a certain light spring described by Hooke’s Law, with a spring
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Unformatted text preview: constant of 1 . 75 × 10 3 N/m. a) By how much does the spring stretch, in cm? F =-k Δ x = mg = ⇒ -Δ x = mg/k = 4 . 45 × 9 . 80 1 . 75 × 10 3 = 2 . 49 cm . b) How much work must an external agent do to stretch the spring 10.3 cm? W = 1 2 k Δ x 2 = 1 2 × 1 . 75 × 10 3 × (0 . 103) 2 = 9 . 28 J ....
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