A heavy ball swings on a string in a circular arc of radius 1 m. The two highest
ID: 1913243 • Letter: A
Question
A heavy ball swings on a string in a circular arc of radius 1 m. The two highest points of the ball's trajectory are Q and Q': at these points the string is +-27 degrees from the vertical. Point P is the lowest point of the ball's trajectory where the string hangs vertically down. The acceleration of gravity is 9.8 m/s^2. (Part A) What is the ball's speed at the point P?? Neglect air resistance and other frictional forces. Answer in units of m/s. (Part B) What is the magnitude of the ball's acceleration at the point P? Answer in units of m/s^2. (Part C) What is the ball's speed at the point Q (choose from either a: 0m/s< ||vq||< ||vp|| b: ||vq|| < 0m/s c: ||vq|| = ||vp|| d: ||vq|| > ||vp|| e: ||vq|| = 0 m/s. (Part D) What is the magnitude of the ball's acceleration at the point Q? Answer in units of m/s^2. (Part E) After several swings, the string breaks. The mass of the string and air resistance are negligible. If the break occurs when the ball is at point P, describe the motion of the ball after the break. (Choose from either A: It moves horizontally with a constant acceleration B: It stays still C: It undergoes projectile motion wit ha horizontal initial velocity D: It moves horizontally with a constant speed. E: It undergoes projectile motion with an initial velocity that points upward and to the right F: The ball falls vertically straight down. (Part F) If the break occurs when the ball is at point Q, describe the motion of ball after the break. (Choose from either: A. It undergoes projectile motion with an initial velocity that points upward and to the right. B: The ball falls vertically down C: It stays still D: It moves horizontally with a constant acceleration E: It moves horizontally with a constant speed F: It undergoes projectile motion with a horizontal initial velocity.
A heavy ball swings on a string in a circular arc of radius 1 m. The two highest points of the ball's trajectory are Q and Q': at these points the string is +-27 degrees from the vertical. Point P is the lowest point of the ball's trajectory where the string hangs vertically down. The acceleration of gravity is 9.8 m/s^2. (Part A) What is the ball's speed at the point P?? Neglect air resistance and other frictional forces. Answer in units of m/s. (Part B) What is the magnitude of the ball's acceleration at the point P? Answer in units of m/s^2. (Part C) What is the ball's speed at the point Q (choose from either a: 0m/sExplanation / Answer
acceleration = g*sin24 = 9.8*0.4067 = 3.986 m/s^2
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