Answer:
Part(a): The final angular velocity is
Part(b): The ratio of the rotational energies is ,showing the the energy of th system will decrease.
Explanation:
Part(a):
If '' be the moment of inertia of an object and '' be its angular velocity then the angular momentum '' of the object can be written as
If '' and '' be the moment of inertia of the two cylinders and '' and '' be the initial angular velocity of the cylinders and '' and '' be their respective final angular velocity, then from conservation of angular momentum,
Given, . From the above expression
Part(b):
Initial kinetic energy
and Final kinetic energy
Substituting the value of ,
The above expression shows that the ebergy of the system will decrease.
Answer:
Part A: 16.1 V
Part B: 20.5 V
Part C: 21.5%
Explanation:
The voltmeter is in parallel with the 4.5-kΩ resistor and the combination is in series with the 6.5-kΩ resistor. The equivalent resistance of the parallel combination is given as
Part A
The voltmeter reading is the potential difference across the parallel combination. This is found by using the voltage-divider rule.
Part B
Without the voltmeter, the potential difference across the 4.5-kΩ resistor is found using the same rule as above:
Part C
The error in % is given by
Answer:
The acceleration would double
Explanation:
Assuming the same box and spring, the maximum acceleration is proportional to amplitude. When the amplitude doubles, the acceleration would double.
__
A spring is generally considered to have a linear force vs. distance characteristic. Hence, doubling the distance doubles the force. The acceleration is proportional to the force.
Answer:
Plasma is by far the most common form of matter. Plasma in the stars and in the tenuous space between them makes up over 99% of the visible universe and perhaps most of that which is not visible. On earth we live upon an island of "ordinary" matter.
Answer:
b because we apply Hooke's law
Explanation:
Hooke's law