Finally, consider the gravitational force generated by a spherically symmetrical massive object. the magnitude and direction of such a force are given by newton's law of gravity: f⃗ g=−gm1m2r2r^, where ds⃗ =drr^; g, m1, and m2 are constants; and r> 0. find u(rf)−u(r0)=−∫rfr0f⃗ g⋅ds⃗ . express your answer in terms of g, m1, m2, r0, and rf. view available hint(s)

Boxing gloves are padded to lessen the force of a blow. (a) calculate the force exerted by a boxing glove on an opponent’s face, if the glove and face compress 7.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s. (b) calculate the force exerted by an identical blow in the gory old days when no gloves were used and the knuckles and face would compress only 2.00 cm. (c) discuss the magnitude of the force with glove on. does it seem high enough to cause damage even though it is lower than the force with no glove?

On a geologic map, if the contacts between sedimentary rock units form a bull’s-eye pattern of concentric circles, with the youngest unit in the center, the underlying structure is a(n)

Which composition of water moves to begin a deepwater current?