A 33.0 kg child named Lindsey runs as fast as she can and jumps onto the outer edge of a merry-go-round. The merry-go-round is initially at rest and has a mass of 78.0 kg and a radius of 2.20 m. Lindsey's linear velocity was 9.00 m/s at the moment she jumped onto the merry-go-round. What is the initial angular momentum of the system (in kg m^2/s)? [Hint: Although she started with linear velocity, consider the moment just before she landed on the merry-go-round
The initial angular momentum of the system can be calculated using the formula:
L = m*r*v
Where:
L = initial angular momentum
m = mass of the child (33.0 kg)
r = radius of the merry-go-round (2.20 m)
v = linear velocity of the child (9.00 m/s)
Substitute the values into the formula:
L = (33.0 kg) * (2.20 m) * (9.00 m/s)
L = 653.4 kg m^2/s
Therefore, the initial angular momentum of the system is 653.4 kg m^2/s.