Derive the equation for the gravitational potential u(p) due to a spherical shell of thickness t, radius r, and uniform density p at an arbitrary distance r from the center of the sphere using green's function for a point mass. give the solution for both cases in which p is outside (r > r) and inside (r < r) the spherical shell. from your answers, find the gravitational force outside and inside the sphere.

Steelhead trout migrate up stream to spawn.occasionally they need to leap up small waterfalls to continue their journey. fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of 8.0 m/s. a. what is the maximum height a steelhead trout can jump? b.leaving the water at 8.0 m/s, the trout lands on top of the water fall 1.8 m high. how long was it in the air?

Atriangle with equal sides of length 10 cm has -2.5-nc charged objects at each corner. part a determine the direction of the electrical force exerted on the object at the top corner due to the two objects at the horizontal base of the triangle. determine the direction of the electrical force exerted on the object at the top corner due to the two objects at the horizontal base of the triangle. horizontally rightward vertically downward vertically upward horizontally leftward

Could we see a galaxy that is 20 billion light-years away?