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A bicyclist of mass 90 kg drives around a circle with a centripetal acceleration of 1.5 m/s². What is the centripetal force acting on the bicyclist?

A. 135 N
B. 90 N
C. 203 N
D. 114 N

Answer :

Final answer:

The centripetal force acting on the bicyclist can be found using the formula Fc = m × ac; substituting the mass (90 kg) and the centripetal acceleration (1.5 m/s²), the force is calculated to be 135 N. Therefore, the correct answer is option a.

Explanation:

The question asks for the centripetal force acting on a bicyclist moving around a circle with a given centripetal acceleration. To calculate the centripetal force (Fc),

we use the formula Fc = m × ac,

where m is the mass of the bicyclist and ac is the centripetal acceleration. In this case, the mass of the bicyclist is 90 kg and the centripetal acceleration is 1.5 m/s².

Substituting the given values into the formula, we get:

Fc = 90 kg × 1.5 m/s²

= 135 N

Therefore, the centripetal force acting on the bicyclist is 135 N, which corresponds to option A.

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