Question

Вычислить работу, которую надо совершить, чтобы сжать пружину на 0,08м, если для ее сжатия на 0,04м, была затрачена работа на 32Дж.

Answer 1

A=F*s(F=A/s)
F=32/0,04=800 H(сила)
A=800*0,08=64 Дж (то есть в два раза больше)

Answer 2

Calculating Work Required to Compress a Spring

To calculate the work required to compress a spring, we can use the formula:

Work = 0.5 * k * (x^2 - x0^2)

Where: - k is the spring constant - x is the final compression distance - x0 is the initial compression distance

Given that the work required to compress the spring by 0.04m is 32J, we can use this information to calculate the work required to compress it by 0.08m.

Calculation

Using the given information: - Initial compression distance, x0 = 0m - Final compression distance, x = 0.08m - Work for initial compression, W0 = 32J

We can calculate the spring constant, k, using the work for the initial compression: W0 = 0.5 * k * (x0^2 - 0^2) 32 = 0.5 * k * (0.04^2 - 0) 32 = 0.5 * k * (0.0016) k = 32 / 0.0008 k = 40000 N/m

Now, we can calculate the work required to compress the spring by 0.08m using the spring constant, k: Work = 0.5 * 40000 * (0.08^2 - 0^2) Work = 0.5 * 40000 * 0.0064 Work = 128J

Answer

The work required to compress the spring by 0.08m is 128J.