You click your fingers in a large hall and hear the echo 0.5 seconds later off the back wall. How far is the back wall? A boat send a sound to the bottom of the ocean and it takes 2 seconds to return to the boat. How deep in the ocean?

Please answer the questions above for 15 points, help desperately needed!:)

Spend time observing or thinking about events that involve matter and energy. which events can you explain? which events can’t you explain?

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.

On your wedding day your lover gives you a gold ring of mass 3.67 g. 48 years later its mass is 3.44 g. on the average how many atoms were abrated from the ring during each second of your marriage? the atomic mass of gold is 197 u. don't enter units