A tourist carries a backpack weighing 10 kg on his back. Determine the mass of the tourist if.

A tourist carries a backpack weighing 10 kg on his back. Determine the mass of the tourist if. While at rest, it produces a pressure of 15 kPa on the surface. The sole area of his shoes is 600 cm2.

To determine the mass of a given tourist, we will use the formula: P = Ft / S = m * g / S = (mt + mr) * g / S, whence we express: mt = P * S / g – mr.

Constants and variables: P – produced pressure (P = 15 kPa = 15 * 10 ^ 3 Pa); S is the area of the soles (S = 600 cm2 = 0.06 m2); g – acceleration due to gravity (g ≈ 10 m / s2); mr is the weight of the backpack (mr = 10 kg).

Calculation: mt = P * S / g – mr = 15 * 10 ^ 3 * 0.06 / 10 – 10 = 80 kg.

Answer: The mass of this tourist is 80 kg.