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Answer :
Final answer:
The centripetal force acting on the bicyclist can be calculated using the formula Fc = (m * v^2) / r. Substituting the given values, the centripetal force is 215.625 N. Therefore, the correct answer is option a. 215 N.
Explanation:
The centripetal force acting on a bicyclist in a circular motion can be calculated using the formula:
Fc = (m * v2) / r
Where:
- Fc is the centripetal force
- m is the mass of the bicyclist
- v is the speed of the bicyclist
- r is the radius of the circle
Substituting the given values:
- m = 85 kg
- v = 4.5 m/s
- r = 8 m
Plugging in the values, the centripetal force is:
Fc = (85 kg * (4.5 m/s)2) / 8 m
Simplifying the equation:
Fc = 215.625 N
Therefore, the correct answer is option a. 215 N.
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