(a) How far is the center of mass of the Earth–Moon system from the center of Earth? (Appendix C gives the masses of Earth and the Moon and the distance between the two.) (b) What percentage of Earth’s radius is that distance?
Appendix C in the book gives the masses of Earth, Moon and distance between them.
Use the concept of center of mass. Using the equation of center of mass of position you find the position of center of mass of Earth –Moon system from the center of earth. Then find that distance in terms of Earth’s radius. The formula used is given below.
Consider origin at the center of earth and write as:
Where M is the mass of Earth and m is the mass of the moon.
Consider radius of earth is
So, the percentage of distance is 73% of radius of earth.
At time t = 0 , a ball is struck at ground level and sent over level ground. The momentum p versus t during the flight is given by Figure (with p0 = 6.0 kg.m/s and p1 = 4.0 kg.m/s). At what initial angle is the ball launched? (Hint: find a solution that does not require you to read the time of the low point of the plot.)
A pellet gun fires ten 2.0g pellets per second with a speed of . The pellets are stopped by a rigid wall. What are (a) The magnitude of the momentum of each pellet,(b) The kinetic energy of each pellet, and (c) The magnitude of the average force on the wall from the stream of pellets? (d) If each pellet is in contact with the wall for 0.60 ms, what is the magnitude of the average force on the wall from each pellet during contact? (e) Why is this average force so different from the average force calculated in (c)?
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