Q1. Presume the gravitational field vector of a spherically symmetric mass distribution is a constant, i.e., independent of the distance from the center of the sphere. Determine the mass density ρ(r).
Now let M(R) be the total mass inside a sphere of radius R. Calculate the ratio M (3.1)/M (1.7).
Q2. A submarine dives 90.0 m at an angle of 8.0° below the horizontal. What are the horizontal and vertical components of submarine's displacement? (Imagine that upward and the direction of the submarine's horizontal motion is positive.)