Please explain the steps and free body doagrams asterin ro Secure | https://sess

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Please explain the steps and free body doagrams

asterin ro Secure | https://session.masteringphysics.com/myct/itemView?assignmentProblemID-8772 1336&offsetsnext; sample-problems-ch Problem 8.56 Resources « previous | 5 or 6 next > Problem 8.56 Part A A 3 kg ball swings in a vertical circle on the end of an 80-cm-long string. The tension in the string is 20 N when its angle from the highest point on the circle is What is the ball's speed when 30 ? Express your answer to two significant figures and include the appropriate units. Value Units Submit My Answers Give Up Part B What is the magnitude of the ball's acceleration when 30°? Express your answer to two significant figures and include the appropriate units. aValue Units Submit My Answers Give Up Part C 11/11/2017

Explanation / Answer

along the string

T - m*g*cos(90-theta) = m*v^2/L

20 - (3*9.8*cos60) = 3*v^2/0.8

speed = 1.2 m/s <<<<---------ANSWER

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part B

radial acceleration ar = v^2/L = 1.2^2/0.8 = 1.8 m/s^2

tangential acceleration atan = g*sin(90-theta) = 9.8*sin60 = 8.5 m/s^2

magnitude of acceleration = sqrt(1.8^2+8.5^2) = 8.7 m/s^2

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part C

direction phi = tan^-1(atan/arad) = 78.3 degrees

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