Question

100 POINTS. Help Please.

Answer 1

Answer:

The electrical force between two balloons is 67.5N.

Explanation:

There are two charged balloons, let's say a and b.

The charge on the balloon a = $Q_a = 3.0 * 10^{-6}$C

The charge on the balloon b = $Q_b = 2.5 * 10^{-7}$C

Both balloons are 1 cm apart; it means that the distance r between the balloon a and the balloon b is 0.01 m (since 1 cm = 0.01 m).

We need to find the electrical force between them. By using the Coulomb's law, the magnitude of the electrical force between both the balloon is given as follows:

$F = \frac{kQ_aQ_b}{r^2}$ --- (A)

Where,

k = Coulomb's constant = $\frac{1}{4\pi\epsilon_o}$ = $9 * 10^9 \frac{Nm^2}{C^2}$

Plug all the values in the equation (A):

$F = \frac{(9*10^9)(3.0*10^{-6})(2.5*10^{-7})}{(0.01)^2} \\F = 67.5 N$

Hence, the electrical force between two balloons is 67.5N (three significant figures).

Answer 2

The magnitude of electrical force between them is about 68 Newton

Further explanation

Electric charge consists of two types i.e. positively electric charge and negatively electric charge.

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There was a famous scientist who investigated about this charges. His name is Coulomb and succeeded in formulating the force of attraction or repulsion between two charges i.e. :

$\large {\boxed {F = k \frac{Q_1Q_2}{R^2} } }$

F = electric force (N)

k = electric constant (N m² / C²)

q = electric charge (C)

r = distance between charges (m)

The value of k in a vacuum = 9 x 10⁹ (N m² / C²)

Let's tackle the problem now !

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Given:

charge of balloon 1 = q₁ = 3.0 × 10⁻⁶ C

charge of balloon 2 = q₂ = 2.5 × 10⁻⁷ C

distance between balloon 1 and balloon 2 = R = 1 cm = 1 × 10⁻² m

Unknown:

electrical force between them = F = ?

Solution:

$F = k \frac{q_1 q_2}{R^2}$

$F = 9 \times 10^9 \times \frac{ 3.0 \times 10^{-6} \times 2.5 \times 10^{-7} }{ ( 1 \times 10^{-2} )^2 }$

$F = 9 \times 10^9 \times \frac{ 7.5 \times 10^{-13} }{ 10^{-4} }$

$F = 9 \times 10^9 \times 7.5 \times 10^{-9}$

$F = 67.5 \texttt{ Newton}$

$F \approx 68 \texttt { Newton}$ → ( 2 Significant Figures )

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Learn more

• The three resistors : brainly.com/question/9503202
• A series circuit : brainly.com/question/1518810
• Compare and contrast a series and parallel circuit : brainly.com/question/539204

Answer details

Grade: High School

Subject: Physics

Chapter: Static Electricity

Keywords: Series , Parallel , Measurement , Absolute , Error , Combination , Resistor , Resistance , Ohm , Charge , Small , Forces