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Q.

A boy has a mass of 20 kg and the area of the sole of one of his feet is 0.01 m². Given the following additional conditions:

1. The boy is carrying a backpack that has a mass equal to 10% of his mass.
2. The boy is standing on a floor that exerts an additional upward force equal to 5% of the total weight of the boy and the backpack due to the elasticity of the floor.
3. The acceleration due to gravity is g = 10 m/s2.

Calculate the pressure exerted on the floor when the boy is standing on one foot, considering all the above conditions. Provide the final pressure in N/m2, rounded to the nearest integer.

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answer is 20900.

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Detailed Solution

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1. Calculate the mass of the backpack:
  - Mass of the backpack = 10% of the boy's mass = 0.1×20kg=2kg

2. Calculate the total weight (force due to gravity):
  - Total weight = Total mass ×  g=22kg×10m/s2=220N

3. Calculate the additional upward force due to the floor's elasticity:
  - Additional upward force = 5% of the total weight = 0.05×220N=11N

4. Determine the effective downward force:
  - Effective downward force = Total weight - Additional upward force = 220N-11N=209N

5. Calculate the pressure exerted on the floor:
  - Pressure = Effective downward force / Area of one foot = 209N/0.01m2=20900N/m2

Therefore, the final pressure exerted on the floor when the boy is standing on one foot is 20900 N/m2.

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