Final answer:
The centripetal force required for a person to stay on a merry-go-round depends on their mass, linear velocity, and distance from the center.
Step-by-step explanation:
The centripetal force required for a person to stay on a merry-go-round can be calculated using the formula:
F = m * (v^2 / r)
Where:
- F is the centripetal force
- m is the mass of the person (in this case, 45 kg)
- v is the linear velocity of the person
- r is the distance between the person and the center of the merry-go-round (in this case, 6.3 m)
Since the linear velocity is not given in the question, we cannot calculate the exact centripetal force. However, we can still discuss the factors that affect the centripetal force:
- The greater the linear velocity, the greater the centripetal force required to stay on the merry-go-round.
- The further away from the center a person is, the greater the centripetal force required.
- The mass of the person also affects the centripetal force. The greater the mass, the greater the force required.