To find the weight of a wooden block given its area and the pressure it exerts, we can use the relationship between pressure, force (weight, in this case), and area. Here is a step-by-step guide to solve the problem:
1. Understand the relationship:
Pressure is defined as force per unit area. Mathematically, the relationship is given by:
[tex]\[
\text{Pressure} = \frac{\text{Force}}{\text{Area}}
\][/tex]
2. Identify the given values:
- Area, [tex]\( A = 10 \, m^2 \)[/tex]
- Pressure, [tex]\( P = 10,000 \, Pa \)[/tex]
Note that 1 Pascal (Pa) is equivalent to 1 Newton per square meter ([tex]\( \frac{N}{m^2} \)[/tex]).
3. Rearrange the formula to solve for the force (weight):
Since we need to find the force (which, when considering the weight of the block, we'll refer to as [tex]\( W \)[/tex]), we rearrange the formula:
[tex]\[
W = P \times A
\][/tex]
4. Substitute the given values into the formula:
[tex]\[
W = 10,000 \, \text{Pa} \times 10 \, m^2
\][/tex]
5. Compute the weight:
[tex]\[
W = 100,000 \, \text{N}
\][/tex]
Therefore, the weight of the wooden block is [tex]\( 100,000 \, \text{N} \)[/tex].
