A sphere if mass m is attached to one end of a rigid stick with negligible mass. the other end of the stick is fixed in place so that the sphere can move in a circular path of radius R. as shown in figure 1. the sphere is released from rest with the stick at an angle of 60 degrees from the vertical. derive an expression for the speed of the sphere when it is at point B, the bottom most point of the circular path.

Suppose a soccer ball is kicked from the ground at an angle 20.0º above the horizontal at 8.00 m/s. the y-velocity is determined to be 2.74 m/s. how long will the ball be in the air? assume the ball lands at the same height at which it was kicked.

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.

Which radioisotope is used in dating geological formations?