the mass of a brick is 2.5 kg. its dimensions are 10cmx5cmx2cm. find the pressure of the brick exerts on the ground if it is resting on a. 10cmx5cm base and b. 5cmx2cm base

Pressure = force / area

Force = mg = 2.5*9.81 N
a. Area = 10cm * 5 cm =0.10*0.05 m²
=0.005 m²

Pressure = 2.5*9.81/0.005=4905 Pa

Part b can be solved similarly.

To find the pressure exerted by the brick on the ground, we can use the formula:

Pressure = Force / Area

a. If the brick is resting on a 10cmx5cm base, the area of the base is:

Area = Length x Width = 10cm x 5cm = 50 cm²

The mass of the brick is given as 2.5 kg, which means the force exerted by the brick due to gravity is:

Force = mass x gravity = 2.5 kg x 9.8 m/s² = 24.5 N

To convert the area from cm² to m², we need to divide by 10,000:

Area = 50 cm² / 10,000 = 0.005 m²

Now, we can find the pressure:

Pressure = Force / Area = 24.5 N / 0.005 m² = 4900 N/m²

Therefore, the pressure exerted by the brick on the ground when resting on a 10cmx5cm base is 4900 N/m².

b. If the brick is resting on a 5cmx2cm base, the area of the base is:

Area = Length x Width = 5cm x 2cm = 10 cm²

Now, we can find the pressure using the same steps:

Area = 10 cm² / 10,000 = 0.001 m²

Pressure = Force / Area = 24.5 N / 0.001 m² = 24,500 N/m²

Therefore, the pressure exerted by the brick on the ground when resting on a 5cmx2cm base is 24,500 N/m².

To find the pressure exerted by the brick on the ground, we can use the formula for pressure:

Pressure = Force / Area

a) When the brick is resting on a 10cm x 5cm base:
The force exerted by the brick is its weight, given by the formula:
Weight = Mass x Gravity
where Gravity is the acceleration due to gravity, which is approximately 9.8 m/s^2.

First, let's convert the mass of the brick from kilograms to grams:
Mass = 2.5 kg = 2500 grams

Next, let's calculate the force exerted by the brick:
Weight = Mass x Gravity
Weight = 2500 g x 9.8 m/s^2

Now, we need to find the area of the base:
Area = Length x Width
Area = 10 cm x 5 cm

Finally, we can calculate the pressure exerted by the brick:
Pressure = Weight / Area

b) When the brick is resting on a 5cm x 2cm base:
Using the same steps as above, calculate the pressure exerted by the brick on the ground by replacing the values with the appropriate dimensions.

Note: If preferred, you can convert the length and width values to meters before calculating the area.

Roy