(10%) Problem 1: A ball with mass m = 12 g at the end of a massless string is swinging in a circle of radius R = 1.8 m with and angular velocity on = 8 rad/s. a. .- 1...... ' c" 'Q .: ' .' R - . I a I ' I - : 3 : I l . . n .1 'u' .1 e .0 \\ o 'e 0' V c Q ' ' -I.-..- .p' E A 25% Part (3) Write an expression for the velocity v of the ball. E A 25% Part (b) Calculate the velocity of the ball, v in m/s. E A 25% Part (c) In order to travel in a circle, the direction the balls path must constantly be changing (curving inward). This constant change in direction towards the center of the circle is a center pointing acceleration called centripetal acceleration act Write an expression for the centripetal acceleration ac of the ball, in terms of the linear velocity. E) A 25% Part (d) Calculate the centripetal acceleration of the ball, ac in m/sz. sin() cos() tan() :1 ( 7 8 9 cotan() asin() acos() E 4 i 6 WWW T 2 3 i coshO tanh() cotanhO + - 0 ODegrees C Radians J0 Submit I Hint |_ Igiveup