Question

A body with a weight of 30 kg is placed on a square surface with a length of 10 meters. Calculate the pressure applied to the surface, assuming the acceleration due to gravity is 10 m/s².

A) 3 N/m²
B) 30 N/m²
C) 300 N/m²
D) 3000 N/m²

Answer 1

The pressure exerted by a body with a weight of 30 kg on a square surface with a length of 10 meters is 3 N/m².

Step-by-step explanation:

To calculate the pressure exerted by a body on a surface, we use the formula:

P = F / A

where:

• P is the pressure,
• F is the force, and
• A is the area.

First, we calculate the force, which is the weight of the body (W = mg), where m is the mass, and g is the acceleration due to gravity. For a mass of 30 kg and gravity of 10 m/s², the force is:

W = 30 kg × 10 m/s² = 300 N.

Then, we find the area of the square surface, which is the length squared (A = l²). With a length of 10 meters:

A = 10 m × 10 m = 100 m².

Finally, we calculate the pressure:

P = 300 N / 100 m² = 3 N/m².

So the correct answer is A) 3 N/m².