An object with a 2.00 kg mass moving along the positive x axis in the +x direction has a speed of v = 2.50 m/s at the position x = 0.500 m and a potential energy of U(x) = (−4.00 J · m)/x. Determine the following.
(a) an expression for the x component of the force acting on the object at any position along the x axis (Use the following as necessary: x. Do not enter units in your expression.)
Fx = (No Response)
(b) work done on the object by this force acting on the object from x = 1.00 m to x = 1.79 m
(No Response) J
(c) change in potential energy of the object as it travels from x = 1.00 m to x = 1.79 m
(No Response) J
(d) total energy of the object at any point along the x axis
(No Response) J
(e) maximum distance the object can travel from the origin in the +x direction
(No Response) m

The force will determine the acceleration.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

One object has a mass of 1 kg and another object has a mass of 3 kg. if the speeds are the same, which of the following is true about their kinetic energy?