A certain grade of diesel fuel has an energy density of 43.1…

A certain grade of diesel fuel has an energy density of 43.1 MJ/kg and a mass density of 850 kg/m3. If this fuel is used to feed an electrical generator with an output of 275 kW and an overall efficiency of 33.5%, how many gallons should the fuel tank contain in order to run the generator for 2 continuous weeks? 

A 7.37 kg block is given an initial velocity of 5.35 m/s up…

A 7.37 kg block is given an initial velocity of 5.35 m/s up a slope inclined at 13.7° to the horizontal. If the coefficient of kinetic friction between the block and the inclined plane is 0.237 and the coefficient of static friction is 0.317, calculate how far the block slides up the slope before it stops.

Solve.The population of a particular country was 26 million…

Solve.The population of a particular country was 26 million in 1980; in 1993, it was 31 million. The exponential growth function describes the population of this country t years after 1980. Use the fact that 13 years after 1980 the population increased by 5 million to find k to three decimal places.