Question

ШАРИК МАССОЙ 50 Г НАХОДИТСЯ НА РАВНЫХ РАССТОЯНИЯХ R=1 М ОТ ДВУХ ТОЧЕЧНЫХ ЗАРЯДОВ ПО 5 МККЛ. С каким ускорением начнет двигаться шарик, если ему сообщить заряд 2 мкКл. Расстояние между зарядами 50 см

Answer 1

ШАРИК МАССОЙ 50 Г НАХОДИТСЯ НА РАВНЫХ РАССТОЯНИЯХ

Answer 2

Calculation of the Acceleration of the Ball

To calculate the acceleration of the ball, we can use the formula for the electric force between two point charges:

F = k * (q1 * q2) / r^2

Where: - F is the force between the charges, - k is the electrostatic constant (approximately 9 * 10^9 Nm^2/C^2), - q1 and q2 are the charges of the two point charges, - r is the distance between the charges.

In this case, the ball has a charge of 2 μC (microcoulombs) and is located at equal distances of 1 meter from two point charges of 5 μC each. The distance between the charges is 50 cm (0.5 meters).

Using the given values, we can calculate the force between the charges:

F = (9 * 10^9 Nm^2/C^2) * ((2 * 10^-6 C) * (5 * 10^-6 C)) / (0.5 m)^2

Calculating this expression gives us the value of the force between the charges.

Calculation of the Acceleration

To calculate the acceleration of the ball, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration:

F = m * a

Where: - F is the force acting on the object, - m is the mass of the object, - a is the acceleration of the object.

In this case, we know the force acting on the ball (calculated in the previous step) and we need to find the acceleration. Rearranging the equation, we can solve for acceleration:

a = F / m

To find the mass of the ball, we can use the formula for the mass of an object:

m = mass per unit volume * volume

Since the mass per unit volume is not given, we cannot calculate the exact mass of the ball. However, we can assume a mass per unit volume and calculate the acceleration based on that assumption.

Let's assume the mass per unit volume of the ball is 1 g/cm^3 (grams per cubic centimeter). The volume of the ball can be calculated using the formula for the volume of a sphere:

V = (4/3) * π * r^3

Where: - V is the volume of the sphere, - π is a mathematical constant approximately equal to 3.14159, - r is the radius of the sphere.

In this case, the radius of the ball is 1 cm (since the ball is located at a distance of 1 meter from the charges, and the distance between the charges is 50 cm).

Using the given values, we can calculate the volume of the ball:

V = (4/3) * 3.14159 * (1 cm)^3

Calculating this expression gives us the volume of the ball.

Now, we can calculate the mass of the ball:

m = (1 g/cm^3) * (volume of the ball)

Calculating this expression gives us the mass of the ball.

Finally, we can calculate the acceleration of the ball using the formula:

a = F / m

Substituting the values of the force and mass calculated earlier, we can find the acceleration of the ball.

Please note that the exact values of the force, mass, and acceleration will depend on the assumptions made for the mass per unit volume of the ball.