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Two engineering students, John with a weight of 92 kg and Mary with a weight of 46 kg, are 30 m apart. Suppose each has a 0.04% imbalance in the amount of positive and negative charge, one student being positive and the other negative. Estimate the electrostatic force of attraction between them by replacing each student with a sphere of water having the same mass as the student. N

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Final answer:

To calculate the electrostatic force of attraction between two objects, we can use Coulomb's Law. The force is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Step-by-step explanation:

The electrostatic force of attraction between two objects can be calculated using Coulomb's Law. Coulomb's Law states that the force of attraction or repulsion between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Let's calculate the electrostatic force of attraction between John and Mary. The charges on John and Mary can be calculated by multiplying their weight by the percentage imbalance in charge. John's charge would be 92 kg * (0.0004) and Mary's charge would be 46 kg * (0.0004).

Using the charges calculated, we can use Coulomb's Law to find the force of attraction between them. F = k * (q1 * q2) / r^2, where k is the electrostatic constant, q1 and q2 are the charges of the objects, and r is the distance between them. Substituting the values, we can find the electrostatic force of attraction.

User Woody
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4 votes

Answer:

F = 6.27 x 10 ¹⁹ N

Step-by-step explanation:

Given

m₁ = 92 kg, m₂ = 46 kg, % = 0.04% N = 6.022 x 10²³ Z = 18, e = 1.6 x 10 ⁻¹⁹ C, M = 0.018 kg/mol

q₁ = % * [m * N * A * e / M ]

q₁ = 0.0004 * [ ( 92 kg * 6.022 x 10²³ * 18 * 1.6 x 10 ⁻¹⁹ ) / (0.018 kg/mol ) ]

q₁ = 3.54 x 10⁶ C

q₂ = 0.0004 * [ ( 46 kg * 6.022 x 10²³ * 18 * 1.6 x 10 ⁻¹⁹ ) / (0.018 kg/mol ) ]

q₂ = 1.773 x 10⁶ C

Now to determine the electrostatic force con use the equation

F = K * q₁ * q₂ / d²

K = 8.99 x 10 ⁹

F = 8.99 x 10 ⁹ * 3.54 x 10⁶ C * 1.773 x 10⁶ C / (30m)²

F = 6.27 x 10 ¹⁹ N

User Samer
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