(17%) Problem 5: Suppose a 84 kg person is bouncing on a bathroom scale which ha
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(17%) Problem 5: Suppose a 84 kg person is bouncing on a bathroom scale which has a force constant of 1.6 x 106 Nm. 50% Part (a) what is the maximum velocity of the person, in meters per second, if the amplitude of the bounce is 0.205 cm? Grade Summary Deductions Potential 100% | Submissions 7 8 9 Attempts remaining: 20 (per attempt) detailed view cotan asin acoso atan0 acotan0 sinho Degrees Radians 1 2 3 Submit Hint I give up Hints:--deduction per hint. Hints remaining:- Feedbacki-deduction per feedback. 50% Part (b) what is the maximum energy, in joules. stored in the spring?Explanation / Answer
a) maximum KE = maximum PE
1/2 m vmax2 = 1/2 k A2
vmax = A * sqrt (k/m) = 0.205 * 10-2 * sqrt [1.6 * 106 / 84]
= 0.283 m/s = 28.3 cm/s
b) maximum energy = 1/2 k A2
= 1/2 * 1.6 * 106 * (0.205 * 10-2)2
= 3.36 J
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