In the figure, a spring with a spring constant of \(2.80 \times 10^4 \, \text{N/m}\) is placed between a rigid beam and the output piston of a hydraulic lever. An empty container with negligible mass is positioned on the input piston. The input piston has an area \(A_i\), and the output piston has an area \(28.0A_i\). Initially, the spring is at its rest length. The question asks how many kilograms of sand must be slowly added to the container to compress the spring by 4.40 cm.**Diagram Explanation:**The diagram shows the setup with a hydraulic lever system. On the left, there is a container labeled "Container" resting on the input piston. The hydraulic lever is illustrated with two connected chambers filled with a fluid. A spring labeled "Spring" is situated between a "Beam" and the output piston on the right side. The diagram visually represents the physical arrangement described in the problem statement.**Problem Requirements:**- **Spring Constant:** \(2.80 \times 10^4 \, \text{N/m}\)- **Compression Distance:** 4.40 cm (converted to meters in calculations: 0.044 m)- **Input Piston Area:** \(A_i\)- **Output Piston Area:** \(28.0A_i\)**Solution Steps:**To solve the problem:1. Calculate the force required to compress the spring by 0.044 m using Hooke's law: \(F = k \cdot x\).2. Determine the equivalent force needed on the input side using the area ratio: \(F_{\text{input}} = \frac{F}{28.0}\).3. Convert the force to mass using the gravitational constant: \(m = \frac{F_{\text{input}}}{g}\) where \(g = 9.81 \, \text{m/s}^2\).**Input Fields:**- **Number:** Enter the mass of sand required in kilograms.- **Units:** Select the appropriate unit (kilograms).

Name: In the figure, a spring with a spring constant of \(2.80 \times 10^4
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: In the figure, a spring with a spring constant of \(2.80 \times 10^4 \, \text{N/m}\) is placed between a rigid beam and the output piston of a hydraulic lever. An empty container with negligible mass is positioned on the input piston. The input pist