Question

If a force of 50 N is applied to an area of 5 cm, what force will be required to maintain the same pressure on an area of 10 cm?

210

likes
1052 views

Answer to a math question If a force of 50 N is applied to an area of 5 cm, what force will be required to maintain the same pressure on an area of 10 cm?

Expert avatar
Adonis
4.4
101 Answers
Solución:
1. Dados:
- Fuerza inicial: F_1 = 50 N
- Área inicial: A_1 = 5 cm²
- Área final: A_2 = 10 cm²

2. La presión se define como fuerza por unidad de área:
P = \frac{F}{A}

3. Hallar la presión inicial:
P = \frac{F_1}{A_1} = \frac{50}{5} = 10 \text{ N/cm}^2

4. Para mantener la misma presión en una nueva área, aplicamos:
P = \frac{F_2}{A_2}

5. Sustituimos y despejamos la nueva fuerza:
10 = \frac{F_2}{10}
F_2 = 10 \cdot 10 = 100 N

Frequently asked questions (FAQs)
What is the slope of a line passing through points (3, 5) and (7, 10)?
+
What are the odds of rolling a prime number on a fair six-sided die?
+
What is the value of 4 raised to the power of 3, squared, divided by the square root of 8?
+
New questions in Mathematics
11(4x-9)= -319
5/8 x 64
What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?
Use the elimination to find the solution to each linear system. X+y=43 2x-y=20
a bank finds that the balances in its savings accounts are normally distributed with a mean of $500 and a standard deviation off of $40. What is the probability that a randomly selected account has a balance of more than $400?
4.2x10^_6 convert to standard notation
4x567
Suppose 56% of politicians are lawyers if a random sample of size 873 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 55% round your answer to four decimal places
how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together
Use the power rule for logarithms to solve the following word problem exactly. If you invest $1, 000 at 5% interest compounded annually, how many years will it take before you have $2,000?
A machine produces 255 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?
-1%2F2x-4%3D18
Show work on 4108 divided by 4
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
-5x=115
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
The blood types of individuals in society are as follows: A: 30%, B: 25%, AB: 20%, 0: 25%. It is known that the rates of contracting a certain disease according to blood groups are as follows: A: 7%, B: 6%, AB: 7%, 0: 4%. Accordingly, if a person selected by chance is known to have this disease, what is the probability of having blood group O?
The slope of the tangent line to the curve f(x)=4tan x at the point (π/4,4)
calculate the product of 4 and 1/8
A gas is leaking at 3.5ft3/min in a room of 2.9m by 6.9ft by 15.7m. How long would it take (in seconds) for 22% of the room to reach the LFL, if the gas has a LFL of 2.51%?