A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the right at 43.0 m/s; when it leaves the bat, the ball is traveling to the left at an angle of 31.0 degree above horizontal with a speed of 51.0 m/s. The ball and bat are in contact for 1.71 ms.

Find the horizontal component of the average force on the ball. Take the x-direction to be positive to the right.

Anybody wanna ? (picture included? )

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg.how much energy e must be supplied to the device? express your answer in joules.

In a hydrogen molecule there are a total of four charges, 2 protons in the two nuclei, and 2 electrons. how many unique charge-pairs are there (without double counting)?