At t = 0, a massless bucket contains a mass M of sand. It is connected to a wall by a massless spring with constant tension T (that is, independent of length).18 See Fig. The ground is frictionless, and the initial distance to the wall is L. At later times, let x be the distance from the wall, and let m be the mass of sand in the bucket. The bucket is released. On its way to the wall, it leaks sand at a rate dm/dx = M/L. In other words, the rate is constant with respect to distance, not time. Note that dx is negative, so dm is also.(a) What is the kinetic energy of the (sand in the) bucket, as a function of the distance from the wall? What is its maximum value?(b) What is the magnitude of the momentum of the bucket, as a function of the distance from the wall? What is its maximumvalue?