A and B please (9%) Problem 5: A ball with an initial velocity of 7.2 m/s rolls

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A and B please

(9%) Problem 5: A ball with an initial velocity of 7.2 m/s rolls up a hill without slipping Randomized Variables V=72m/s 50% Part (a) Treating the ball as a spherical shell, calculate the vertical height it reaches, in meters Grade Summary Deductions Potential 2% 98% cos) cotan)asin)acosO atan)acotan)sinhO Submissions Attempts remaining: 8 (190 per attempt) detailed view sin *1 2 3 0 1% 1% tanhO cotanhO END Degrees Radians CE CLEAR Submit Hint I give up! Hints: 1 % deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Su bmission History Answer hi 2.44 h1 = 1.763 Hints Feedback 1% 1% 2% 0% 0% 0% 0% 0% 0% Totals 1% 1% 2% 2 Totals 50% Part (b) Repeat the calculation for the same ball if it slides up the hill without rolling

Explanation / Answer

a) m g h = 1/2 mv2 + 1/2 I w2

m g h = 1/2 mv2 + 1/2 (2/3 M r2)(v/r)2

m g h = 1/2 mv2 + 1/3 m v2

m g h = 5/6 mv2

h = 5 v2 / 6 g = (5 * 7.22) / (6 * 9.8)

h = 4.41 m

b) mgh = 1/2 mv2

h = v2 / 2 g = 7.22 / (2 * 9.8)

h = 2.64 m

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