Final answer:
The boy's weight is 294.3 N, calculated from his mass and the acceleration due to gravity. We cannot calculate the centripetal force or the boy's speed without additional information on the rotational speed of the ride or the period of rotation.
Step-by-step explanation:
To calculate the boy's weight, we use the formula w = mg, where w is the weight, m is the mass, and g is the acceleration due to gravity (approximately 9.81 m/s² on Earth). So the boy's weight will be 30.0 kg × 9.81 m/s² = 294.3 N.
Without explicit values for the velocity or the rotational rate of the ride, we cannot calculate the centripetal force or the boy's speed accurately. However, if we had the rotational speed in revolutions per minute (rpm) and the radius of the circular path, we could use the formula for centripetal force Fc = (mv²)/r, where m is the mass, v is the tangential speed, and r is the radius.
The speed can be found using the formula v = 2πr/T, where T is the period of one complete rotation. Without these values, we can't provide a numerical answer for parts c and d of the question.