Question

PHYSICS 2425 Exam II1 Spring 2019 Group PROBLEMS (Open Everything) 18 possible pts Name: 6. A penny rests on top of a bowling ball. You give the bowling ball a slight bump and the penny slides off the frictionless, spherical surface as shown below. You can assume no external work is being done!) (a) The penny leaves the ball at angle 0 - 46.0and the radius of the ball is 10.8 cm. Label K, Ug.. Ke Ug and where - and y - Oon the figure. (4 points) (b) Draw an energy bar chart for the penny with the initial state being the penny at the top of the ball, and the final state being the point where the penny leaves the ball. Choose the center of the ball to be the zero line for gravitational potential energy. Don't worry about the having the bars to the exact size! We are going to use it to set up our equations 14 points Initial Energy K. + Ugo + U. + + Work W - - Final Energy X + Ut +U (c) Using trigonometry, write an equation for how high is the coin relative to the center of the ball when it falls off. Calculate this height. 14 points (d) Using your bar chart write a Work Energy equation and using it calculate the final velocity of the penny as it leaves the ball. (6 points)

Answer 1

Solution in the uploaded image

Solutions According to the conservation of energy when penny starts falling its potential energy Starts converting into kinetic energy twork = Initial energy Ug, Firal enegy. ( kt U 494) ZIA c) when penny the penny falls off heigh (h) of the from centre = Reas O R = 10.8x Cas (460) Il r = 7.50cm (d) TIEP - T. Bf x 9 x R = rng/k) + maz = 129 (2-2) =j2x4: 6 (10-8-7-5) = 8.64 cm/s