A physics student stands on a cliff overlooking a lake and decides to throw a tennis ball to her friends in the water below. She throws the tennis ball with a velocity of 19.5 m/s at an angle of 36.5∘ above the horizontal. When the tennis ball leaves her hand, it is 15.5 m above the water. How far does the tennis ball travel horizontally before it hits the water? Neglect any effects of air resistance when calculating the answer.

15. give an example for some particles or waves that are moving faster than light in everyday life 16. what is a laser? 17. what is an oscilloscope? 18. what does it means practically that nothing is faster than light in vacuum? 19. what is vacuum?

As part of an industrial process, air as an ideal gas at 10 bar, 400k expands at steady state through a valve to a pressure of 4 bar. the mass flow rate of air is 0.5 kg/s. the air then passes through a heat exchanger where it is cooled to a temperature of 295k with negligible change in pressure. the valve can be modeled as a throttling process, and kinetic and potential energy effects can be neglected. (a) for a control volume enclosing the valve and heat exchanger and enough of the local surroundings that the heat transfer occurs at the ambient temperature of 295 k, determine the rate of entropy production, in kw/k. (b) if the expansion valve were replaced by an adiabatic turbine operating isentropically, what would be the entropy production? compare the results of parts (a) and (b) and discuss.

Which articulations allow for greatest range of motion?