An object of mass M on a string is whirled
with increasing speed in a horizontal circle, as shown above. When the string breaks, the object has speed v and the circular path has radius R and is a height h above the ground. Neglect air friction.
a) Determine the following, expressing all answers in terms of h, v(o), and g.
i. The time required for the object to hit the ground after the string breaks
ii. The horizontal distance the object travels from the time the string breaks until it hits the ground
iii. The speed of the object just before it hits the ground
b. On the figure below, draw and label all the forces acting on the object when it is in the position shown in the diagram above.
c. Determine the tension in the string just before the string breaks. Express your answers in terms of M, R, v(o), and g.