Answer:
The angular velocity is
Explanation:
From the question we are told that
The mass of the child is
The radius of the merry go round is
The moment of inertia of the merry go round is
The angular velocity of the merry-go round is
The position of the child from the center of the merry-go-round is
According to the law of angular momentum conservation
The initial angular momentum = final angular momentum
So
=>
Now is the initial moment of inertia of the system which is mathematically represented as
Where is the initial moment of inertia of the boy which is mathematically evaluated as
substituting values
Thus
Thus
Now
Where is the final moment of inertia of the boy which is mathematically evaluated as
substituting values
Thus
Thus
Hence
Answer:
29.69 m/s
Explanation:
From the question given above, the following data were obtained:
Height (h) = 45 m
Velocity (v) =...?
Next, we shall determine the time taken for the ball to get to the ground. This can be obtained as follow:
Height (h) = 45 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =?
h = ½gt²
45 = ½ × 9.8 × t²
45 = 4.9 × t²
Divide both side by 4.9
t² = 45/4.9
Take the square root of both side
t = √(45/4.9)
t = 3.03 s
Finally, we shall determine the velocity with which the ball hits the ground. This is illustrated below:
Initial velocity (u) = 0 m/s
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) = 3.03 s
Final velocity (v) =.?
v = u + gt
v = 0 + (9.8 × 3.03)
v = 0 + 29.694
v = 29.694 ≈ 29.69 m/s
Therefore, the ball hits the ground with a velocity of 29.69 m/s.
Answer:
The storage method is originally designed to last years. The exact amount of time comes down to what type of waste it is.
By velocity vectors (arrow)
I think D x=vxt because it's equation finding change of x (displacement) and using time