When the height of the cylinder increased by a factor of 5from 100 m to 500 m, what happened to the cylinder's
1 answer:
Answer: It increased by a factor of 5
Explanation:
Gravitational potential energy is given by the following formula:
Where:
is the mass of the cylinder (assumed as constant)
is the acceleration due gravity (assumed as constant)
is the height of the cylinder
As we can see, is directly proportional to
. Hence, if
increases by a factor of 5
increases by a factor of 5, as well.
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A) d. 10T
When a charged particle moves at right angle to a uniform magnetic field, it experiences a force whose magnitude os given by
where q is the charge of the particle, v is the velocity, B is the strength of the magnetic field.
This force acts as a centripetal force, keeping the particle in a circular motion - so we can write
which can be rewritten as
The velocity can be rewritten as the ratio between the lenght of the circumference and the period of revolution (T):
So, we get:
We see that this the period of revolution is directly proportional to the mass of the particle: therefore, if the second particle is 10 times as massive, then its period will be 10 times longer.
B)
The frequency of revolution of a particle in uniform circular motion is
where
f is the frequency
T is the period
We see that the frequency is inversely proportional to the period. Therefore, if the period of the more massive particle is 10 times that of the smaller particle:
T' = 10 T
Then its frequency of revolution will be: