A car with a mass of 2700 kg is rolling down a hill with a grade that is 15° above the horizontal with a velocity of 2 m/s. The car had 400m before it hits the water barrels which act as springs. A. Calculate the total energy the car has at the top of the hill

B. At the bottom of the hill, the car smashed into water barrels which act as spring with a spring constant of 1,500,000 N/m. How much distance will the water barrel/spring need to compress to stop the car?

C. If the water barrels are only 1.5m thick, will the car come to a complete stop. Explain your reasoning.

*at least find the height and answers C*

An object starts from rest at point f and speeds up continuously as it moves around an oval. a. choose a point about 1/8 th of the way around the oval from point f, and label it point g. draw a vector to represent the velocity of the object at point g. b. determine the change in velocity vector   between points f and g.

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.

The mantle is made up of which structural zones?