Find solutions to your questions with the help of IDNLearn.com's expert community. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

Select the best answer for the question.

A piston above a liquid in a closed container has an area of [tex]$1 \, m^2$[/tex]. The piston carries a load of 350 kg. What will be the external pressure on the upper surface of the liquid?

A. 68.6 kPa
B. 4.90 kPa
C. 27.3 kPa
D. 3.43 kPa


Sagot :

Certainly! Let's break down the solution step-by-step to determine the external pressure on the upper surface of the liquid.

1. Gathering the Given Data:
- The area of the piston [tex]\( A = 1 \, \text{m}^2 \)[/tex]
- The load or mass on the piston [tex]\( m = 350 \, \text{kg} \)[/tex]

2. Acceleration Due to Gravity:
- The standard value for gravitational acceleration [tex]\( g = 9.8 \, \text{m/s}^2 \)[/tex]

3. Calculating the Force Exerted by the Load:
- Using Newton's second law, we calculate the force:
[tex]\[ F = m \cdot g \][/tex]
- Plugging in the values:
[tex]\[ F = 350 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 3430 \, \text{N} \][/tex]

4. Calculating the Pressure:
- Pressure [tex]\( P \)[/tex] is defined as force per unit area. Thus,
[tex]\[ P = \frac{F}{A} \][/tex]
- With the given area,
[tex]\[ P = \frac{3430 \, \text{N}}{1 \, \text{m}^2} = 3430 \, \text{Pa} \][/tex]

5. Converting Pascals to Kilopascals:
- [tex]\( 1 \, \text{kPa} = 1000 \, \text{Pa} \)[/tex]
- Therefore, to convert the pressure calculated in Pascals to kilopascals:
[tex]\[ P_{\text{kPa}} = \frac{3430 \, \text{Pa}}{1000} = 3.43 \, \text{kPa} \][/tex]

Putting all these steps together, the pressure on the upper surface of the liquid is [tex]\( 3.43 \, \text{kPa} \)[/tex].

Therefore, the best answer is:
D. 3.43 kPa
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.