Question

Bookwork code: H16

The pressure that a box exerts on a shelf is 200 N/m
The force that the box exerts on the shelf is 140 N.
Work out the area of the base of the box.
If your answer is a decimal, give it to 1 d.p.

Answer 1

The pressure exerted by the box on the shelf is given by the formula:

Pressure = Force / Area

where Pressure is measured in Newtons per square meter (N/m^2), Force is measured in Newtons (N), and Area is measured in square meters (m^2).

We are given that the pressure exerted by the box on the shelf is 200 N/m and the force that the box exerts on the shelf is 140 N. Using the formula above, we can solve for the area of the base of the box as follows:

200 N/m = 140 N / Area

Simplifying the equation above, we can multiply both sides by the Area to get:

Area * 200 N/m = 140 N

Dividing both sides by 200 N/m, we get:

Area = 140 N / 200 N/m

Simplifying the right-hand side, we get:

Area = 0.7 m^2

Therefore, the area of the base of the box is 0.7 square meters, or 0.7 m^2 to 1 decimal place.

Answer 2

0.7 m²

Explanation:

The pressure exerted by the box on the shelf is defined as the force per unit area, so we can use the formula:

`\boxed{\sf Pressure = (Force)/(Area)}`

We need to determine the area of the base of the box, so we can rearrange the formula to solve for area:

`\boxed{\sf Area= (Force)/(Pressure)}`

Given values:

• Pressure = 200 N m⁻²
• Force = 140 N

Substitute the given values into the formula:

`\implies \sf Area = (140\;N)/(200\;N\;m^(-2))`

`\implies \sf Area = (140)/(200)\;m^2`

`\implies \sf Area = 0.7\;m^2`

Therefore, the area of the base of the box is 0.7 square meters.