Question

Шарик массой 1 килограмм, подвешенный на нити длиной 1 метр, откланяют на угол 90° и отпускают. Совершив 25 колебаний, шарик благодаря сопротивлению воздуха остановился. Какую работу совершил шарик ? помогите пожалуйста​

Answer 1

Ответ:

Ответ будет "39". Я уверен

Answer 2

Calculation of Work Done by the Ball

To calculate the work done by the ball, we need to consider the gravitational potential energy and the work done against air resistance.

1. Gravitational Potential Energy: - The ball is initially at a height of 1 meter from its equilibrium position. - When the ball is released, it swings back and forth, reaching a maximum angle of 90 degrees. - At the highest point of its swing, the ball momentarily comes to rest before changing direction. - At this point, all of the ball's initial potential energy is converted into kinetic energy. - The potential energy of the ball can be calculated using the formula: potential energy = mass * gravity * height. - The mass of the ball is given as 1 kilogram, and the height is 1 meter. - The acceleration due to gravity can be taken as approximately 9.8 m/s^2.

Using these values, we can calculate the potential energy of the ball at its highest point.

2. Work Done Against Air Resistance: - The question states that the ball stops after completing 25 oscillations due to air resistance. - As the ball moves through the air, it experiences air resistance, which opposes its motion. - This resistance causes the ball to lose energy, which is converted into heat. - The work done against air resistance can be calculated by subtracting the final potential energy of the ball from its initial potential energy.

Let's calculate the work done by the ball step by step.

Calculation Steps:

1. Gravitational Potential Energy: - The potential energy of the ball at its highest point can be calculated using the formula: potential energy = mass * gravity * height. - Substituting the given values, we get: potential energy = 1 kg * 9.8 m/s^2 * 1 m. - Calculating the potential energy, we find that the ball initially has 9.8 Joules of potential energy.

2. Work Done Against Air Resistance: - The work done against air resistance can be calculated by subtracting the final potential energy from the initial potential energy. - Since the ball stops after completing 25 oscillations, we can assume that all of its initial potential energy is converted into work done against air resistance. - Therefore, the work done by the ball is equal to its initial potential energy. - Thus, the ball has done 9.8 Joules of work against air resistance.

Answer:

The ball, with a mass of 1 kilogram and suspended on a 1-meter string, does 9.8 Joules of work against air resistance before coming to a stop after completing 25 oscillations