Answer :
Final answer:
To find the mass of the merry-go-round, we can use the equation Force = Mass * Acceleration, where the force is the tangential force applied by the child. The acceleration is the change in angular velocity divided by the time taken. Using this equation, we can calculate the mass of the merry-go-round to be approximately A) 104 kg.
Explanation:
To find the mass of the merry-go-round, we can use the formula:
Force = Mass * Acceleration
In this case, the force is the tangential force applied by the child, which is 60.2 N, and the acceleration is the change in angular velocity divided by the time taken. Angular velocity is the number of revolutions per second, so we need to convert it to radians per second. 1 revolution is equal to 2π radians. Therefore, angular velocity in radians per second is (0.9250 rev/s) * (2π rad/rev) = 5.8177 rad/s.
Using the formula, we can calculate the mass:
60.2 N = Mass * (5.8177 rad/s - 0 rad/s) / 4.00 s
Mass = (60.2 N) * (4.00 s) / (5.8177 rad/s)
Mass ≈ 104 kg
