Question

A solid cube has sides 0.50 m long and a mass of 120 kg. It stands on the ground on one face.

Which pressure does the cube exert on the ground?
A 480 kg/m³ B 960 kg/m³
C4700 N/m²
D 9400 N/m²

Answer 1

The pressure exerted by the cube on the ground is 9600 N/m^2.

Step-by-step explanation:

To find the pressure exerted by the cube on the ground, we need to use the formula for pressure, which is force divided by area.

The force exerted by the cube can be calculated using the equation F = mg, where m is the mass of the cube and g is the acceleration due to gravity.

Since the cube is standing on one face, the area in contact with the ground is the area of one face of the cube.

Therefore, the pressure exerted by the cube on the ground is equal to the force divided by the area.

Plugging in the given values, we get:

Pressure = (mg) / (side length * side length)

Pressure = (120 kg * 9.8 m/s^2) / (0.50 m * 0.50 m)

Pressure = 2400 N / 0.25 m^2

Pressure = 9600 N/m^2

Therefore, the pressure exerted by the cube on the ground is 9600 N/m^2.

Answer 2

Hi

Pressure (P) = Force (F) / Area (A)

In this case, the force is the weight of the cube, and the area is the area of the cube's bottom face in contact with the ground. First, calculate the weight of the cube using its mass and the acceleration due to gravity (approximately 9.8 m/s²):

Weight (F) = Mass (m) × Gravity (g)

F = 120 kg × 9.8 m/s² = 1176 N

Next, calculate the area of the bottom face of the cube. Since it's a square, you can use the formula for the area of a square:

Area (A) = Side (s) × Side (s)

A = 0.50 m × 0.50 m = 0.25 m²

Now, you can calculate the pressure:

P = F / A

P = 1176 N / 0.25 m² = 4704 N/m²

So, the pressure exerted by the cube on the ground is 4704 N/m². The option is C: 4700 N/m².