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Answer :
Final answer:
To calculate the pressure exerted on the floor, divide the force exerted by the person by the area of the crutch tips and it will be approximately 312 kPa.
Explanation:
To calculate the pressure exerted on the floor, we need to divide the force exerted by the person by the area of the crutch tips. The force exerted by the person is equal to their weight, which is given as 80 kg. To calculate the area of each crutch tip, we need to use the formula for the area of a circle, A = πr^2, where r is the radius of the circle. Given that the diameter of the crutch tip is 4.0 cm, the radius is 2.0 cm or 0.02 m.
Using these values, we can calculate the force exerted by the person as 80 kg * 9.8 m/s^2 (acceleration due to gravity) = 784 N. The area of each crutch tip can be calculated as π * (0.02 m)^2 = 0.001257 m^2.
Finally, we can calculate the pressure by dividing the force by the area: P = 784 N / (2 * 0.001257 m^2) = 312,162 Pa. Converting to kPa, the pressure exerted on the floor is approximately 312 kPa. Therefore, the correct answer is option C.
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