1. If the strength of the magnetic field at A is 16 units, the strength of the magnetic field at B is _____.
2 answers:
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Answer:
The final angular speed is 0.223 rad/s
Explanation:
By the conservation of angular moment:
ΔL=0
L₁=L₂
L₁ is the initial angular moment
L₂ is the final angular moment
L₁ is given by:
As the door is at rest its angular moment is zero and the angular moment of mud can be considered as a point object, then:
where
r is the distance from the support point to the axis of rotation (the mud hits at the center of the door; r=0.5 m)
v is the speed
m is the mass of the mud
L₂ is given by:
ωf is the final angular speed
The moment of inertia of the door can be considered as a rectangular plate:
M is the mass of the door
W is the width of the door
The moment of inertia of the mud is:
Hence,
The speed of the car at the bottom of the hill is obtained as,
According the principle of conservation of energy, the total potential energy of the car will be converted to maximum kinetic energy when the car is at the bottom of the hill.
where;
- <em>v </em><em>is the speed of the car at the bottom of the hill</em>
- <em>h </em><em>is the height of the hill</em>
- <em>g </em><em>is acceleration due to gravity</em>
Thus, the speed of the car at the bottom of the hill is obtained as,
Learn more about conservation mechanical energy here: brainly.com/question/332163