Question

Горизонтальне дротяне кільце масою 2 г і радіусом 5 см торкається поверхні води. Яку силу потрібно прикласти для нього, щоб відірвати від води? Коефіцієнт поверхневого натягу води становить 73 мН/м. Вода змочує дріт.

Answer 1

Ответ: 65 мН

Объяснение:

Answer 2

To calculate the force required to detach the horizontal wire ring from the water, we can use the concept of surface tension. The force required can be determined by considering the balance between the surface tension force and the weight of the wire ring.

Given information:

- Mass of the wire ring (m): 2 g - Radius of the wire ring (r): 5 cm - Surface tension of water (σ): 73 mN/m

Calculating the force required:

1. Calculate the weight of the wire ring: - The weight (W) can be calculated using the formula: W = m * g, where g is the acceleration due to gravity (approximately 9.8 m/s^2). - Convert the mass from grams to kilograms: m = 2 g = 0.002 kg. - Calculate the weight: W = 0.002 kg * 9.8 m/s^2.

2. Calculate the circumference of the wire ring: - The circumference (C) of a circle can be calculated using the formula: C = 2 * π * r, where π is a mathematical constant approximately equal to 3.14159. - Convert the radius from centimeters to meters: r = 5 cm = 0.05 m. - Calculate the circumference: C = 2 * 3.14159 * 0.05 m.

3. Calculate the force required to detach the wire ring from the water: - The force required (F) can be calculated using the formula: F = σ * C, where σ is the surface tension of water and C is the circumference of the wire ring. - Calculate the force required: F = 73 mN/m * C.

Answer:

The force required to detach the horizontal wire ring from the water can be calculated using the formula F = 73 mN/m * C, where C is the circumference of the wire ring. The weight of the wire ring does not affect the force required to detach it from the water.