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Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.9 kg at (0.0, 4.8) m, and 4.0 kg at (2.7, 0.0) m. Where should the fourth object of 9.4 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?


x = ___  m

y = ___ m




A mechanic applies a torque to a nut with a wrench 0.250 m long. Because of the cramped space, he must exert a force upward at an angle of 50.0° with respect to a line from the nut through the end of the wrench. If the force he exerts has magnitude 40.0 N, what magnitude torque (in N · m) does he apply to the nut? (Assume that the force is applied at the end of the wrench.)



___ N · m



A doctor opens a 1.40 m wide door by pushing on it with a force of 52.5 N directed perpendicular to its surface.



(a)

What magnitude torque (in N · m) does she apply about an axis through the hinges if the force is applied at the center of the door?

__ N · m


(b)

What magnitude torque (in N · m) does she apply at the edge farthest from the hinges?

 __ N · m


A wire has a length of 1.20m, a diametee 0.64mm

amd a resistance of 2.4ohms.

calculate the resistance of a wire of the same material of length 0.80 metre and diametre 0.32mm


How are you going to perform your task in such a way that energy is not wasted?

In a steady flow apparatus, 135 kJ of work is done by each kg of fluid. The specific volume of the fluid, pressure and speed at the inlet are 0.37 m3 /kg, 600 kPa, and 16 m/s. The inlet is 32 m above the floor, and the discharge pipe is at floor level. The discharge conditions are 0.62 m3 /kg, 100 kPa, and 270 m/s. The total heat loss between the inlet and discharge is 9 kJ/kg of fluid. In flowing through this apparatus, does the specific internal energy increase or decrease, and by how much?


The volume and pressure of a given mass of gas at 27°c are 76cm³ and 80cm of mercury respectively. Calculate it's volume at S.t.p


.A coal power plant consumes 100000 kg of coal per hour and produces 500 MW of power. If the heat combustion of coal is 30 MJ/kg, what is the efficiency of the power plant?


Find the mass of ammonia in the 100 cubic feet tank having a pressure of 70 psi at 120 °F.


A 2.5m tall steel has a cross sectional area of 1.5m2. At the bottom with a height of 0.5m is liquid  water on top of which is a 1m high layer of gasoline. The gasoline surface is exposed to atmospheric  air at 101 kPa. What is the highest pressure in the water?


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