Answer:
θ₁ = 0.5 revolution
Explanation:
We will use the conservation of angular momentum as follows:

where,
I₁ = initial moment of inertia = 18 kg.m²
I₂ = Final moment of inertia = 3.6 kg.m²
ω₁ = initial angular velocity = ?
ω₂ = Final Angular velocity =
= 1.67 rev/s
Therefore,

where,
θ₁ = revolutions if she had not tucked at all = ?
t₁ = time = 1.5 s
Therefore,

<u>θ₁ = 0.5 revolution</u>
Answer:
for 
Where z=0 m is the position of Miss Piggy and z=4 m is the position of the speaker.
Explanation:
Assuming that Miss Piggy emits a sound wave that is in phase with the speaker, and that z=0 is the position of Miss Piggy and z=4 is the position of the speaker, we would have a superposition of two traveling sound waves. Furthermore let's assume that both waves have the same amplitude. The total resulting wave will be given by:
where
is the angular frequency of the traveling wave and
is the wave number defined as
.
is the wavelength of both traveling waves (they have the same wavelength because they have the same frequency).
where v is the speed of sound.
By using the trigonometric identity
we can rewrite
as
.
In order for the resulting wave to have maximum destructive interference, that is to be zero for any time t, we need to have



Answer:
K_{f} / K₀ =1.12
Explanation:
This problem must work using the conservation of angular momentum (L), so that the moment is conserved in the system all the forces must be internal and therefore the torque is internal and the moment is conserved.
Initial moment. With arms outstretched
L₀ = I₀ w₀
the wo value is 5.0 rad / s
final moment. After he shrugs his arms
= I_{f} w_{f}
indicate that the moment of inertia decreases by 11%
I_{f} = I₀ - 0.11 I₀ = 0.89 I₀
L_{f} = L₀
I_{f} w_{f} = I₀ w₀
w_{f} = I₀ /I_{f} w₀
let's calculate
w_{f} = I₀ / 0.89 I₀ 5.0
w_{f} = 5.62 rad / s
Having these values we can calculate the change in kinetic energy
/ K₀ = ½ I_{f} w_{f}² (½ I₀ w₀²)
K_{f} / K₀ = 0.89 I₀ / I₀ (5.62 / 5)²
K_{f} / K₀ =1.12
Answer:
57.885.8 kg weight of the container
Explanation:
The volume of the balloon * density of water = buoyant force of balloon
volume of a sphere = 4/3 pi r^3
= 4/3 pi * (1.5)^3 = 14.14 m^3 <===balloon volume
Now, find the buoyant force on the container ALONE ....
5.8 * 2.6 * 2.8 * 1027 = 43 364 kg <===== buoyant force
Now add the buoyant force of the balloon to find the weight
43 364 + 14.14 * 1027 = 57885.8 kg
Answer:
undefined status
Explanation:
Adolescence stage of life is generally regarded as the period of life between the normal onset of puberty and the beginning of early adulthood. The stage of puberty is characterized by appearance of secondary sexual characteristics as well as the development of reproductive features.
Adolescent often have vague or unclear expectations as a result of the fact that many adults still regard adolescents as children even though some other adults may regard them as fellow adults.
This undefined status makes adolescents not to exactly know what to expect as their roles or rights in the society.