A differential thermocouple with sensors at the inlet and the exit of a pump indicates that the temperature of water rises 0.048°f as it flows through the pump at a rate of 1.5 ft3/s. if the shaft power input to the pump is 21.6 hp and the heat loss to the surrounding air is negligible, determine the mechanical efficiency of the pump.

The amount of potential energy possessed by an elevated object is equal to what?

Emmy kicks a soccer ball up at an angle of 45° over a level field. she watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. assume that air resistance is negligible, and plot the horizontal and vertical components of the ball's velocity as a function of time. consider only the time that the ball is in the air, after being kicked but before landing. take "north" and "up" as the positive ‑ and ‑directions, respectively, and use ≈10 m/s2 for the downward acceleration due to gravity.

The statue of liberty is 305.5 feet high. when the angle of elevation of the sun is 50 , what is the distance to the tip of the shadow from a point at water level and directly below the highest point of the statue?