A). How many electrons have to be added to 1milligram metal sphere such that ano

Question

A). How many electrons have to be added to 1milligram metal sphere such that another +1C charge located 31 mm above the sphere will be able to hold that in the air?[Assume g=10m/s^2]. B). JC Penny is offering 44 % off for any kind of shoes. You bought a pair of shoes with 153 Dollars after 9 % Sales Tax is applied. What was the original or listing price of the shoe you bought. Hint: Sales Tax is applied on the discounted price.
A). How many electrons have to be added to 1milligram metal sphere such that another +1C charge located 31 mm above the sphere will be able to hold that in the air?[Assume g=10m/s^2]. B). JC Penny is offering 44 % off for any kind of shoes. You bought a pair of shoes with 153 Dollars after 9 % Sales Tax is applied. What was the original or listing price of the shoe you bought. Hint: Sales Tax is applied on the discounted price.
How many electrons have to be added to 1milligram metal sphere such that another +1C charge located 31 mm above the sphere will be able to hold that in the air?[Assume g=10m/s^2]. B). JC Penny is offering 44 % off for any kind of shoes. You bought a pair of shoes with 153 Dollars after 9 % Sales Tax is applied. What was the original or listing price of the shoe you bought. Hint: Sales Tax is applied on the discounted price. B).

Explanation / Answer

A) Balancing forces:

- kq(1)/r2 = mg

q = -mgr2/k = -10-3 * 10 * (31*10-3)2 / 9*109 = -1.067 * 10-15 C

q = ne = 1.067 * 10-15 C

n*(-1.6*10-19) = 1.067 * 10-15

n = 6668.75

B) Let discounted price be d, then

153 = d + 9*d/100 = 109d/100

d = 153*100/109 = 140.37 dollars

Let original price be p,then

d = p-44*p/100

d = 56p/100

p = 100d/56 = 100*140.37/56 = 250.66 dollars

Original price = 250.66 dollars

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