A strong boy throws a rock straight up with a force of 100 N. At what rate does the rock initially accelerate upwards, in m/s?? Assume the mass of the rock is 2 kg and the local gravitational acceleration is 9.74 m/s?.
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A: To Do:- Conversation of 9.8 m/s2 into ft/s2.
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- A pump delivers gasoline ( = 685.75 kg/m3) at 20°C and 13.65 m3/h. At the inlet, P1 = 112.5 kPa, z1 = 1.25 m and V1 = 2.75 m/s. At the output, P2 = 555 kPa, z2 = 5 m and V2 = 3.375 m/s. How much power is required if the motor efficiency is 77.5%?(a) A substance flows through a turbine at the rate of 100 lb./min with ΔKE = 0 and Q = 0. At entry, its pressure is 175 psia, its volume is 3.16 ft.3/lb., and its internal energy is 1166.7 BTU/lb. At exit, its pressure is 0.813 psia, its volume is 328 ft.3/lb., and its internal energy is 854.6 BTU/lb. What horsepower is developed? (b) The same as (a) except that the heat loss from the turbine is 10 BTU/lb. of steam.If a pump discharges 75 gallons per minute(gpm) of water whose specific weight is 61.5 lb/ft^3(g = 31.95 ft/s^2), find (a) the mass flow rate in kg/sec, and (b) the total time in minutes required to fill a vertical cylinder tank 10 ft in diameter and 12 ft high.
- Two chambers, Chamber 1 and Chamber 2 where the pressure at chamber 1 p1=70 kPa, at chamber 2 the pressure p2 = 5kPa. There is an orifice between the two chambers with a diameter of 6 cm, Cc= 1.00, Cv=0.95, and the head of the liquid(s=2.50) over the orifice is 1.80 m. Find the actual flow rate through the orifice. Answers: a.35 L/s b.45L/s c.15 L/s d.25 L/sA fluid (? = 750 kg/?3; ? = 1.7 × 10−1 Pa ∙ s) flows through a plate. If the free velocity (incoming velocity) is 3.0 m/s,(a) Find the flow velocity at a distance of 5.0 m from the front of the plate and 15 mm from the plate.(b) If the plate is 8 m long and 2.5 m wide, find the tensile force on the plate (liquid flowing through both sides of the plate)A 40.0-kg box initially at rest is pushed 5.00 m along a rough, horizontal floor with a constant applied horizontal force of 130 N. If the coefficient of friction between box and floor is 0.300, find (a) the work done by the applied force, (b) the increase in internal energy in the box-floor system due to friction,
- Water is withdrawn at the bottom of a large tank open to the atmosphere. The water velocity is 9.5 m/s. The minimum height of the water in the tank is (a) 2.22 m (b) 3.54 m (c) 4.60 m (d ) 5.23 m (e) 6.07 mSteam enters a turbine with a pressure of P1 = (5000 – K) kPa, specific internal energy u1 = (3500 + K) kJ/kg, mass flow rate of 7.5 kg/s and density of ρ1 = [1 + (K/1000)] kg/m3. Steam leaves at P2 = (2K) kPa with a density of ρ2 = 4.5 kg/m3and a specific internal energy of u2 = (1000 + 2K) kJ/kg. Heat loss from the device by radiation is 50 kJ/kg. Neglecting the changes in kinetic and potential energies, determine the power produced by the system. k=893A compressor draws in 0.25 m% of air whose density is 1.26 kg/m? and discharges it with a density of 4.87 kg/m°. At the suction, P, = 103.4 kPaa; at the discharge, P2 = 551.4 kPaa. The increase in the specific internal energy is 78.63 kJ/kg, and the heat from the air by cooling is 30.24 kJ/kg. Neglecting changes of potential and kinetic energy, determine the work on air in kW, BTU/min, and Hp.
- 8 A certain SSSF, adiabatic control volume with single inflow and outflow streams has mass-flow-rate, m(dot) = 7.5 kg/sec, and a specific entropy increase from inflow, to outflow, se-si= +1.6 kJ/(K * Kg). Determine dSnet / dt ( in kJ/(degrees Kelvin * sec)), which is the time-rate-of-change, net, of the entropy of the universe (control volume plus surroundings).thermodynamics: A Centrifugal pump operating under steady flow conditions delivers 2000 kg/min of water from an initial pressure of 10 psi to a final pressure of 280 KPa. The diameter of the inlet pipe is 20 cm and the diameter of the discharge pipe is 3 in. What is the work?A steady state flow compressor draws in 14170 li/min of air whose density is 1.267 kg/m3 and discharge it with density of 4.88 kg/m3. At the suction, P1-103.42 kPa, at the discharge, p2=551.584 kPa. Thge increase in specific internal energy is 78.45 kJ/kg and the heat from air by cooling is 30.173 kJ/kg. Neglecting the change of potential and kinetic energy, determine the work done on the system in kJ/min.