A spherical cannonball of mass 2M is launched with an initial velocity v0 at an angle of 45° above the horizontal. There is an explosive charge between the two halves of the cannonball which is detonated when the cannonball has reached the highest point of its trajectory. One half of the cannonball (mass M) is propelled backwards exactly along the original trajectory and lands back in the cannon (good trick!). Ignore air resistance for this problem.
(a) Assuming level terrain, find the range of the center of mass of the system, i. e., how far away from the cannon does the center of mass of the system land?
(b) Find the velocity of the second half of the cannonball (the one that doesn't land back in the cannon) immediately after the explosion.
(c) How far away from the cannon does the second half of the cannonball land?

Pls pls pls pls ! describe, in your own words, how you found the epicenter of the earthquake.

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.

If an atom contains 11 protons in its nucleus, predict the element with the atomic number and electronic configuration. will the number of electrons remain the same during the chemical reaction in such an atom? explain.