The gausss law for gravity: ∮g⃗ ⋅da⃗ =−4πgmin. a spherical planet is discovered with mass m, radius r, and a mass density that varies with radius as ρ=ρ0(1−r/2r), where ρ0 is the density at the center. determine ρ0 in terms of m and r. hint: divide the planet into infinitesimal shells of thickness dr, then sum (i. e., integrate) their masses. express your answer in terms of the variables m and r.

According to newton's second law, when the same force is applied to two objects of different masses, a the object with greater mass will experience a great acceleration, and the object with less mass will experience an even greater acceleration, b. the object with greater mass will experience a smaller acceleration, and the object with less mass will experience a greater acceleration, c. the object with greater mass will experience a greater acceleration, and the object with less mass will experience a smaller acceleration, d. the object with greater mass will experience a small acceleration, and the object with less mass will experience an even smaller acceleration.

A0.580-kg rock is tied to the end of a string and is swung in a circle with a radius of 0.500 meters. the velocity of the rock is 4.50 m/s. what is the centripetal force acting on the rock? 15.5 n 5.22 n 69.8 n 23.5 n

What properties of a moving object are used in determining the object's energy of motion