Physics, 06.02.2020 02:42 roxannaemigdio3850

Two identical small metal spheres are separated by 1.00 × 105 m and exert an 18.9-n repulsive force on each other. a wire is connected between the spheres and then removed. the spheres now repel each other, exerting a 22.5-n force. assume both charges are positive.

1. determine the total charge of this system.
q = (units)

2. determine the charges of the spheres before the connection.
q1, q2 = c

Answers: 2

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Answers

Answer from: kikipie489

(a). The total charge of this system is 10 C.

(b). The charges of the spheres before the connection is 5 C and 4.2 C.

Explanation:

Given that,

Distance $r= 1.00\times10^{5}\ m$

Force = 22.5 N

The two spheres are connected for a moment by a wire. After this, charge is re-distributed equally, and each sphere now has a charge

We need to calculate the charge

Using formula of electric force

$F=\dfrac{kq_{1}q_{2}}{r^2}$

Here, charge is equal

Put the value into the formula

$22.5=\dfrac{9\times10^{9}\times q^2}{(1.00\times10^{5})}$

$q^2=\dfrac{22.5\times(1.00\times10^{5})^2}{9\times10^{9}}$

$q=\sqrt{\dfrac{22.5\times(1.00\times10^{5})^2}{9\times10^{9}}}$

$q=5\ C$

(a). We need to calculate the total charge of this system

We have the charge of each sphere after re-distribution.

We know that the charge is distributed equally.

Therefore, the total charge of the system is

$q+Q=2q=2\times5=10\ C$

(b). We need to calculate the charge of the spheres before the connection

Using formula of electric force

$F=\dfrac{kq_{1}q_{2}}{r^2}$

Put the value into the formula

$18.9=\dfrac{9\times10^{9}\times q_{1}\times q_{2}}{(1.00\times10^{5})}$

$q_{2}=\dfrac{18.9\times(1.00\times10^{5})^2}{9\times10^{9}\times5}$

$q_{2}=4.2\ C$

Hence, (a). The total charge of this system is 10 C.

(b). The charges of the spheres before the connection is 5 C and 4.2 C.

Answer from: Quest

potential energy is directly proportional to height.

more height = more potential energy.

greatest increase in height = greatest increase in potential energy

where are the points with the greatest increase in height ?

has to be c-e or d-e .

Look at the pendulum diagram between which points does the pendulum’s potential energy increase most

Answer from: Quest

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Two identical small metal spheres are separated by 1.00 × 105 m and exert an 18.9-n repulsive force...