Water is being drained from a container which has the shape of an inverted right circular cone. the container has a radius of 7.00 inches at the top and a height of 9.00 inches. at the instant when the water in the container is 8.00 inches deep, the surface level is falling at a rate of 1.4 in./sec. find the rate at which water is being drained from the container.

An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. it then moves 127 ft at an angle of 46.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)

The of a machine determines its "usefulness." a. input force b. output force c. mechanical advantage

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