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A person stands on a square pedestal whose side lengths are 1.20 m. The person and the pedestal together weigh [tex]1.84 \times 10^3 \, \text{N}[/tex]. What is the pressure exerted onto the floor in Pa?

Answer :

Final answer:

The pressure exerted by a person standing on a square pedestal onto the floor is calculated using the formula for pressure P = F/A. With the given weight of the person and pedestal as 1.84 x 10³ N, and the area of the pedestal as 1.44 m², the pressure is approximately 1278 pascals (Pa).

Explanation:

The pressure exerted by a person standing on a square pedestal can be calculated using the formula P = F/A, where P is pressure, F is the force (or weight) exerted, and A is the area over which the force is spread. In the SI system, the unit for pressure is the pascal (Pa), with 1 Pa = 1 N/m², where N is a force unit known as the newton, defined as 1 kg m/s².

In this case, the weight of the person and pedestal (F) is given as 1.84 x 10³ N. The area (A) of the square pedestal over which this weight is evenly spread can be calculated as side length squared, i.e., (1.2 m)² = 1.44 m².

So, using the formula P = F/A, we find that the pressure (P) they exert onto the floor is (1.84 x 10³ N) / (1.44 m²) ≈ 1278 Pa.

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