In empty space, an object of mass 1 kg is moving along a straight line with a constant speed of 10 m/s. Hanging in space is a dust-mote of negligible mass. At a certain instant the object is 100 m from the dust-mote. However, as it continues along its path, it will pass within 1 m of the mote. What is the magnitude of the angular momentum of the object, as seen from the dustmote’s position?

1. a net force of 100 newton’s is applied to a wagon for 5 seconds. this causes the wagon to undergo a change in momentum of

If the spring constant k of a pogo stick is 3500 n m and the weight of the person on the pogo stick is 700 n, how much is the spring in the botom of the pogo stick compressed?

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.