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How many excess electrons must be placed on each of two small spheres spaced 3cm apart if the spheres are to have equal charge and if the force of repulsion between them is to be 10โˆ’19๐‘?


A negative charge of โˆ’0.50 ร— 10โˆ’6๐ถ exerts a repulsive force of magnitude 0.20 N on an unknown charge 0.20 m away. What is the unknown charge (magnitude and sign)?ย 


Two charges are located on the positive x-axis of a coordinate system. Charge ๐‘ž1 = 2 ร— 10โˆ’9๐ถ is 2cm from the origin, and charge ๐‘ž2 = โˆ’3 ร— 10โˆ’9๐ถ is 4cm from the origin. What is the total force exerted by these two charges on a charge ๐‘ž3 = 5 ร— 10โˆ’9๐ถ located at the origin?


In a closed economy


Y= c+i+g


C= 900+0.5(y-t)


I= 700-30r


T= 800


G= 1200


Md=Ms


Ms=1500


Mt=0.7y


Msp= -80r



Derive the IS and LM equations of the economy.( Express y as a function of r and assume p is fixed at 1.0)



Calculate the short run equilibrium values of y and r in the economy.

How many grams of dilute is present in 0.4 moles magnesium hydroxie, Mg (OH)2 in 559 g water, H2O? molar mass of Mg (OH)2 is 58 g / mol

If 0.590% solution of Na2CO3 will be used to precipitate Ca+2 from solution, determine the amount of solution, in grams needed to percipitate 5.00x102mL of 0.01120M Ca+2

1.ย ย ย ย Show thatย are logically equivalent. P โ†” Q and (P โˆง Q) V ( ยฌP โˆง ยฌQ)

:Calculate the sum of all elements in given matrix.



44 85 20 33 -18



56 35 67 -2 -54 45



44 42 56 -76 90



-56 78 -14 79 11 33 in java


25.0 grams of sodium chloride (NaCl) is dissolved in 100 grams of solution. What is the concentration of the solution in parts per million (ppm)?

Two identical 15.0-kg balls, each 25.0 cm in diameter, are suspended by two



35.0-cm wires. The entire apparatus is supported by a single 18.0-cm wire,



and the surfaces of the balls are perfectly smooth.



a) Find the tension in each of the three wires.



b) How hard does each ball push on the other one?

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