Question

Растягивая пружину на 0,01м, произвели работу в 3Дж. Какая работа будет произведена при растягивании пружины на 0,03м?

Answer 1

Составим пропорцию:
3 ДЖ-0.01м
х-0.03м
х=(3*0.03)/0.01=9Дж

Answer 2

Calculation of Work Done on the Spring

To calculate the work done on the spring, we can use the formula:

Work = (1/2) * k * x^2

Where: - Work is the work done on the spring, - k is the spring constant, - x is the displacement of the spring.

In this case, we are given that the work done on the spring when it is stretched by 0.01 m is 3 J. We can use this information to find the spring constant.

Let's substitute the given values into the formula and solve for the spring constant:

3 J = (1/2) * k * (0.01 m)^2

Simplifying the equation:

3 J = (1/2) * k * 0.0001 m^2

Multiplying both sides by 2:

6 J = k * 0.0001 m^2

Dividing both sides by 0.0001 m^2:

k = 6 J / 0.0001 m^2

k = 60,000 N/m

Now that we have the spring constant, we can calculate the work done on the spring when it is stretched by 0.03 m.

Using the same formula:

Work = (1/2) * k * x^2

Substituting the values:

Work = (1/2) * 60,000 N/m * (0.03 m)^2

Calculating the work:

Work = (1/2) * 60,000 N/m * 0.0009 m^2

Work = 27 J

Therefore, the work done on the spring when it is stretched by 0.03 m is 27 J.