a man named bungkas climbed an oak tree in 1970 and built himself a nest there. In 1994 he was still up there, and he has not left the tree for 24 years. suppos bungkas asks a villager for a newspaper, which is thrown to him straight up with an initial speed of 12 m/s. when bungkas catches the newspaper from his nest, the newspapers velocity is 3 m/s directed upward. from this information, find the height at which the nest was built. assumed the newspaper is thrown from a height 1.5 m above the ground.

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 710 n/m. it is initially at rest on an inclined plane that is at an angle of θ = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. a) what is the block's initial mechanical energy? b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

Write a polynomial function with the given zeros x= -1,0,2show your work

Air enters a gas turbine with two stages of compression and two stages of expansion at 100 kpa and 17°c. this system uses a regenerator as well as reheating and intercooling – the intercooler returns the air to the inlet temperature. the pressure ratio across each compressor is 4 ; 300 kj/kg of heat are added to the air in each combustion chamber; and the regenerator operates perfectly while increasing the temperature of the cold air by 20°c. determine the system’s thermal efficiency. assume isentropic operations for all compressor and the turbine stages and use constant specific heats at room temperature. (0.378)