During a total lunar eclipse, the moon remains visible because ________.
1 answer:
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r
Answer:
a) w = - , b) W = - ½ m_woman R² (1 + m_woman R / I²) v²
Explanation:
a) To solve this exercise, let's use the conservation of angular momentum.
We define a system formed by the table and the woman, therefore the torques are internal and the moment is conserved
initial instant. Before starting to move the woman
L₀ = 0
final instant. After starting to move
L_f = I w + m v r
the moment is preserved
L₀ = L_f
0 = Iw + m v r
w = - (1)
the direction of the angular velocity is opposite to the direction of the linear velocity, that is, counterclockwise
b) for this part we use the relationship between work and kinetic energy
W = ΔK
in this case the initial speed is zero and the final speed of the table, using the relationship between linear and angular variables
v = w r
we substitute
W = 0 - ½ I_total w²
I_total = I + m_{woman} R²
W = - ½ (I + m_woman R²) ( ) ²
W = - ½ (m_woman² R² + m_woman³ R³ / I²) v²
W = - ½ m_woman R² (1 + m_woman R / I²) v²
Answer:
The magnetic field is
Explanation:
From the question we are told that
The mass of the metal is
The current is
The distance between the rail(length of the rod ) is
The coefficient of kinetic friction is
Generally the magnetic force is mathematically represented as
Given that the rod is moving at a constant velocity, it
=>
Where is the kinetic frictional force which is mathematically represented as
So
=>
substituting values
=>
=>