Two objects slide without friction on a circular ring of radius r oriented in a vertical plane. the heavier object (of mass 3m) is attached to a spring with an unstretched length of zero (admittedly an unphysical assumption) and spring constant k. the fixed end of the spring is attached to a point a horizontal distance 2r from the center of the circle. the lighter object (of mass m) is initially at rest at the bottom of the ring. the heavier object is released from rest at the top of the ring, then collides with and sticks to the lighter object. find the value for m that will allow the combined object (of mass 4m) to just reach the point a on the ring, but go no higher. express your answer in terms of some or all of the quantities k, r and the acceleration of gravity g.

Which statement about covalent bonds is true

Askydiver weighing 140 lb (including equipment) falls vertically downward from an altitude of 19,000 ft and opens the parachute after 18 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.55|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity v is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. (a) find the speed of the skydiver when the parachute opens. (b) find the distance fallen before the parachute opens. (c) what is the limiting velocity vl after the parachute opens? (d) determine how long the sky diver is in the air after the parachute opens. (e) plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.

Asher cycles 12 miles in 16 hours. what is his speed?