Question

Решить с дано. От удара копра массой 500кг, свободно падающего с некоторой высоты, свая погружается в грунт на 1 см. Определите силу сопротивления грунта, считая её постоянной, если скорость копра перед ударом о сваю равна 10м/с. Массой сваи и сопротивлением воздуха пренебречь.​

Answer 1

Объяснение:

Дано

m(к)=500кг

l=1см=0,01м

V0=10м/с

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F(соопротивления грунта)---?

сила соопротивления умноженное на l, т.к оно погрузилась на такую глубину.

F×l

здесь нужна кинетическая энергия

mv0²/2=0

отсюда переносим mV²/2 и подстовляем F×l (закон сохранения энергии.)

0-(mV0²)/2)=F×l

F=-(500×10²)/(2×0,01)= -25×10⁵Н

если бы мы учли соопротивления воздуха, тогда глубина была бы меньше, соответсвенно и её соопротивления больше.

Answer 2

Problem Analysis

We are given the following information: - A coconut weighing 500 kg is freely falling from a certain height and penetrates the ground by 1 cm. - The velocity of the coconut just before hitting the pile is 10 m/s. - We need to determine the resistance force of the ground, assuming it is constant.

To solve this problem, we can use the principle of conservation of mechanical energy. We can equate the initial potential energy of the coconut to the sum of its final kinetic energy and the work done by the resistance force of the ground.

Solution

1. Let's start by calculating the initial potential energy of the coconut. The potential energy is given by the formula: potential energy = mass * gravitational acceleration * height. - The mass of the coconut is given as 500 kg. - The gravitational acceleration is approximately 9.8 m/s^2. - The height from which the coconut falls is not provided in the question.

2. Next, we need to calculate the final kinetic energy of the coconut just before hitting the pile. The kinetic energy is given by the formula: kinetic energy = (1/2) * mass * velocity^2. - The mass of the coconut is given as 500 kg. - The velocity of the coconut just before hitting the pile is given as 10 m/s.

3. Now, let's calculate the work done by the resistance force of the ground. The work done is given by the formula: work = force * distance. - The distance the coconut penetrates the ground is given as 1 cm, which is equal to 0.01 m. - The force of resistance by the ground is what we need to determine.

4. According to the principle of conservation of mechanical energy, the initial potential energy of the coconut should be equal to the sum of its final kinetic energy and the work done by the resistance force of the ground. Therefore, we can write the equation as: potential energy = kinetic energy + work

5. Rearranging the equation, we can solve for the force of resistance by the ground: force = (potential energy - kinetic energy) / distance

Let's calculate the force of resistance by the ground using the given information.

Calculation

1. Calculating the initial potential energy: - mass = 500 kg - gravitational acceleration = 9.8 m/s^2 - height = unknown

2. Calculating the final kinetic energy: - mass = 500 kg - velocity = 10 m/s

3. Calculating the work done by the resistance force: - distance = 0.01 m - force = unknown

4. Applying the principle of conservation of mechanical energy: - potential energy = kinetic energy + work

5. Rearranging the equation to solve for the force of resistance: - force = (potential energy - kinetic energy) / distance

Let's calculate the force of resistance by the ground.

Calculation Results

Unfortunately, the necessary information to calculate the force of resistance by the ground is missing from the question. We do not have the height from which the coconut falls. Without this information, we cannot provide a specific answer to the question.

Please provide the height from which the coconut falls so that we can calculate the force of resistance by the ground accurately.