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Vector a has magnitude 3, vector b has magnitude 4 and the angle between a and b is 60°. What is the value of a · b?
Ali spot a large octopus while diving 40 meters deep in the pacific ocean sea. Given the density of the sea water and the atmosphere pressure is 1025 kg/m^3 and 101.325 kPa
a.) Calculate the pressure exerted on Ali's body.
b.) Calculate the absolute pressure exerted on Ali's body.
The bob of the pendulum is 200 g. It is swinging at a height of 1 m. The length of the pendulum is 1 m. Find the values of GPE, KE, and total mechanical energy at a height of 1 m, 0.5 m and 0.25 m and at its lowest point.
An airplane has a mass of 35,000 kg and a take off acceleration of 1.20 m/s^2 in 20 m. How much work was done by the take off of the airplane? What is the power if the work was done in 10 seconds?
Steam enters a nozzle at pressure of 6 bar and 2000c with enthalpy 2850 kJ/kg and leaves at a pressure of 1.5 bar. The initial velocity of steam is 50m/s and the exit velocity from nozzle is 650 m/s. The mass flow rate through the nozzle is 1500kg/h, the heat loss from the nozzle is 12000 kJ/hr. Determine the final enthalpy of steam
Air flows steadily through an engine at a constant temperature of 400k. Find the work per kilogram if the exit pressure is one-third the inlet pressure and the inlet pressure is 207 KPa. Assume that the kinetic energy and potential energy variation are negligible.
A car has an acceleration of 2.4m/s assume that its acceleration remains constant, starting from rest how long does the car require to reach a velocity of 90 km/h ? How far does it travel while reaching that velocity ?
The diagram below shows the velocity against time graph for a stone thrown vertically upwards.
a.Explain what the gradient of the graph represents in this case.
b.Where is the ball in its flight when the time t
is 1.5 s?
c. Use the information on the graph to determine the maximum height attaine
d by the stone.
The diagram below shows the path taken by a boat sailing from port
A.The boat takes 1.5 hours to travel from port A
to port B. It immediately sails from port
B towards port C. The boat takes 2.0 hours
to travel from B to C. The distances travelled for each section of the journey are
shown on the diagram.
As the boat sailed from A to C
, calculate:
a. its average speed in m s−1
b.the magnitude of its displacement.
1. During a steady flow process, the pressure of the working substance drops from 400 to 40 psia, the speed increase s from 300 to 1100 fps, the internal energy of the open system decreases 30 Btu/lb, and specific volume increases from 1.2 to 9 ft^3/lb. no heat is transferred. Sketch the energy diagram. Determine the work per lb. Is it done Or by substance? Determine the work in hp for 11 lb per min.( 1 hp = 42.4 Btu/min).
