Asolid block of mass m is suspended in a liquid by a thread. the density of the block is greater than that of the liquid. initially, the fluid level is such that the block is at a depth d and the tension in the thread is t. then, the fluid level is decreased such that the depth is 0.5d. what is the tension in the thread when the block is at the new depth?

Place me with this question is my last question

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.

Ben (55kg) is standing on very slippery ice when junior (25kg) bumps into him. junior was moving at a speed of 8 m/s before the collision and ben and junior embrace after the collision. find the speed of ben and junior as they move across the ice after the collision. give the answer in m/s. describe the work you did to get the answer.