A rectangular floor tile is shown. Its dimensions are given to the nearest 0.1 metres. square The tile is only able to sustain a maximum pressure of 200 Newtons per square metre (N/m^2) correct to the nearest 5N/m^2 Given that Pressure=(Force)/(Area) work out the maximum force, in Newtons, that can safely be applied to the tile. Optionalworking

Question

Question

A rectangular floor tile is shown. Its dimensions are given to the nearest 0.1 metres. square The tile is only able to sustain a maximum pressure of 200 Newtons per square metre (N/m^2) correct to the nearest 5N/m^2 Given that Pressure=(Force)/(Area) work out the maximum force, in Newtons, that can safely be applied to the tile. Optionalworking

Answer 1

The maximum force that can safely be applied to the tile is \(200 \, \text{N/m}^2 \times A\).

Answer 2

## Step 1: Identify the formula for pressure: ### \(\textbf{Pressure} = \frac{\text{Force}}{\text{Area}}\) ## Step 2: Given the maximum pressure the tile can sustain is \(200 \, \text{N/m}^2\). ## Step 3: Rearrange the formula to solve for Force: ### \(\textbf{Force} = \text{Pressure} \times \text{Area}\) ## Step 4: Determine the area of the tile. Since the dimensions are not provided in the problem, we assume the area \(A\) is given or can be calculated if dimensions are known. ## Step 5: Substitute the given values into the rearranged formula. Since the maximum pressure is \(200 \, \text{N/m}^2\), the maximum force \(F\) is: ### \(F = 200 \, \text{N/m}^2 \times A\) ## Step 6: The maximum force that can be safely applied to the tile is directly proportional to the area of the tile. Without specific dimensions, we express the answer in terms of the area \(A\).

Question

Answer

Answer

Explain

Hot Questions