Answer:
ω' = 0.815 rad/s
Explanation:
Given,
R = 1.20 m
Inertia of merry-go- round= 240 kg.m²
Rotating speed = 9 rpm = 
=0.9424 rad/s
mass of the child, m = 26 kg
angular speed of the merry-go-round=?
we know
Angular momentum, L = I ω
Moment of inertia of the child
I' = m r² = 26 x 1.2² = 37.44 kgm²
Conservation of angular momentum
initial angular momentum = Final angular momentum
I ω = (I+I')ω'
240 x 0.9424 = (240+37.44) ω'
226.176= 277.44 ω'
ω' = 0.815 rad/s
new angular speed of the merry-go- round is equal to 0.815 rad/s
Answer:
A black hole is a region of spacetime where gravity is so strong that nothing—no particles or even electromagnetic radiation such as light—can escape from it. The theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole.
Displacement measures how far it is from the starting point and the final location, which in this case is the distance between Honolulu and Los Angeles. The difference between distance and displacement is that distance measures how far the object actually travels. For example, the airplane may not fly in a straight line and it may have detours, making the distance much greater than the displacement.
On the other hand, the plane could fly at different speeds at different periods of time. It will be so much more complicated if we have to calculate it. That's why this question only asks you to calculate the average velocity of the plane, ie. 
So, we have
the required average velocity = 
= 511.6 miles/hour
Hope this helps!
At a constant force, the mass of the balloon is inversely proportional to the rate of change motion of the balloon.
The force applied to an object can be determined by applying Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.
F = ma
where;
- <em>m is the mass of the balloon</em>
- <em>a is the change in velocity per time</em>
The mass of an object is inversely proportional to the rate of change motion of the object.
Thus, we can conclude that at constant force, the mass of the balloon is inversely proportional to the rate of change motion of the balloon.
Learn more here:brainly.com/question/15321240
100/1=x/0.985, 98.5=x. So the distance from Orlando is 220-98.5=121.5miif he adjusts, he has 98.5 miles more to do, plus 121.5 miles he already did, the flight is 1.25 mi farther
