Lesson 33 Physics 110 Journal-Fall 2017 Pre-Class Problem STATEMENT OF THE PROBL

Question

Lesson 33 Physics 110 Journal-Fall 2017 Pre-Class Problem STATEMENT OF THE PROBLEM In a pinball machine, a solid metal 0.050-kg ball is released from a spring and rolls around the machine hitting various targets. If the spring has a spring constant,& of 410 N/m and is compressed a distance, x, of 22 cm, a) what is the rotational kinetic energy of the ball immediately after release? b) What is the translational kinetic energy of the ball immediately after release? Try it: Calculate the translation kinetic energy of the ball if it was sliding instead of rolling Show your work Answers: 2.8 :7.1 Documentation Statement: 170

Explanation / Answer

spring energy = rotational KE + translational KE

(0.5) k x2 = (0.5) I w2 + (0.5) m v2

(0.5)(410) (0.22)2 = (0.5) (0.4) m r2 (v/r)2 + (0.5)m v2

(410) (0.22)2 = (0.7)m v2

m v2 = 14.2

RKE = (0.2) m v2 = (0.2) (14.2) = 2.84 J

Trans.KE = (0.5)m v2 = (0.5) (14.2) = 7.1 J

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