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netineya [11]
3 years ago
11

An object with charge 4.3x10-5 C pushes another object 0.31 micrometers away with a force of 7 N. What is the total charge of th

e second object?
Physics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

Charge on the other particle is given as

q_2 = 1.74 \times 10^{-18} C

Explanation:

As we know that the force between two charges is given as

F = \frac{kq_1q_2}{r^2}

here we know that

F = 7 N

r = 0.31 \mu m

q_1 = 4.3 \times 10^{-5} C

now we have

7 = \frac{9 \times 10^9 (4.3 \times 10^{-5}q_2}{(0.31\times 10^{-6})^2}

now we have

q_2 = 1.74 \times 10^{-18} C

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Assume no air resistance, and g = 9.8 m/s².

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t = 55/[30 cos(x)] = 1.8333 sec(x)  s

With regard to the vertical velocity, and the time of flight,obtain
[30 sin(x)]*(1.8333 sec(x)) + (1/2)*(-9.8)*(1.8333 sec(x))² = 0
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55 tan(x) - 16.469[1 + tan²x] = 0
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tan(x) = 0.5[3.3396 +/- √(7.153)] = 3.007 or 0.3326
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x = 71.6° or x = 18.4°

The time of flight is
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v = 30 sin(x) = 28.467 m/s or 9.468 m/s
The horizontal velocity is
u = 30 cos(x) = 9.467 m/s or 28.469 m/s

If t = 5.8096 s,
  u*t = 9.467*5.8096 = 55 m (Correct)
or
 u*t = 28.469*15.8096 = 165.4 m (Incorrect)

Therefore, reject x = 18.4°. The correct solution is
t = 5.8096 s
x = 71.6°
u = 9.467 m/s
v = 28.467 m/s

The height from which the ball was thrown is
h = 28.467*5.8096 - 0.5*9.8*5.8096² = -110.4 m
The ball was thrown from a height of 110.4 m

Answer: h = 110.4 m

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3 years ago
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