Answer: The pressure that the brick exerts on the surface is approximately 781.8 Pa
Step-by-step explanation:
Pressure is defined as the force exerted per unit area. In this case, the force exerted by the brick is its weight, which is the mass multiplied by acceleration due to gravity.
The formula to calculate pressure is:
P = F/A
where:
- P is the pressure
- F is the force
- A is the area
First, we need to calculate the weight of the brick. The weight (F) can be calculated using the equation F = m*g, where m is the mass of the brick and g is the acceleration due to gravity. On Earth, the acceleration due to gravity is approximately 9.8 m/s².
F = m*g
F = 1.8 kg * 9.8 m/s²
F = 17.64 N (rounded to two decimal places)
Next, we need to calculate the area of the cross section of the brick. The area (A) is calculated by multiplying the length by the width.
A = length * width
A = 21.5 cm * 10.5 cm
Before we can do this calculation, we need to convert the measurements from centimeters to meters, because the standard unit of measurement for area in physics is square meters (m²). 1 cm = 0.01 m, so:
A = 0.215 m * 0.105 m
A = 0.022575 m²
Finally, we can calculate the pressure using the formula P = F/A:
P = 17.64 N / 0.022575 m²
P = 781.8 Pa (rounded to one decimal place)
So, the pressure that the brick exerts on the surface is approximately 781.8 Pa (Pascals).