3. A 2.0-kg brick has the dimensions 7.5 cm „e 15 cm „e 30.0 cm. What is the pressure (in SI units) the brick exerts when standing on its largest face?

To calculate the pressure exerted by the brick on its largest face, we first need to find the area of the largest face.

The largest face of the brick is the one with dimensions 15 cm x 30 cm. To convert these dimensions into meters, divide by 100 since there are 100 centimeters in a meter. So, the dimensions of the largest face in meters are 0.15 m x 0.30 m.

Next, we need to calculate the area of this face by multiplying the length and width. So,

Area = Length x Width
= 0.15 m x 0.30 m

Now, we can calculate the area of the largest face.

Area = 0.045 square meters

Now, we can calculate the pressure using the formula:

Pressure = Force / Area

The force exerted by the brick is equal to its weight. The weight can be calculated using the formula:

Weight = mass x acceleration due to gravity

The mass of the brick is given as 2.0 kg. The acceleration due to gravity, denoted as 'g', is approximately 9.8 m/s^2.

Now we can calculate the weight:

Weight = 2.0 kg x 9.8 m/s^2

Finally, we can calculate the pressure:

Pressure = Weight / Area

Substituting the values:

Pressure = (2.0 kg x 9.8 m/s^2) / 0.045 square meters

Calculating this gives us the pressure exerted by the brick on its largest face in SI units.

To find the pressure exerted by the brick on its largest face, we need to use the formula:

Pressure = Force / Area

To calculate the area of the largest face of the brick, we must first convert the dimensions to meters.

Given:
Length (l) = 7.5 cm = 0.075 m
Width (w) = 15 cm = 0.15 m

The area (A) of the largest face is calculated as:

A = l * w

Next, the force (F) exerted by the brick is given by:

F = mass * acceleration due to gravity

Given:
Mass (m) = 2.0 kg
Acceleration due to gravity (g) = 9.8 m/s^2

Substituting the values, we can calculate the force:

F = 2.0 kg * 9.8 m/s^2

Now, we have both the force (F) and the area (A), so we can calculate the pressure:

Pressure = Force / Area

2 kg * 9.8 /(.15*.3) N/m^2 or Pascals