The period of oscillation is T = 2 * pi * sqrt ( ( m2/3 + m1) / k )
<h3>What is period of oscillation?</h3>
This is the time in seconds it takes to complete one oscillation. where an oscillation is a repetitive to and fro motion. period if the inverse of frequency and both are basic when calculation motion in simple harmonic motion.
The period of oscillation is given as T
T = 2 * pi * sqrt ( m / k )
where
m = mass on this case mass of the spring will be inclusive to the mass of the block such that we have:
m1 = mass of the block
m2 = mass pf the spring
k = force constant of the spring
including the two masses to the period gives
T = 2 * pi * sqrt ( ( m2/3 + m1) / k )
Read more on period of oscillation here: brainly.com/question/22499336
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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:
30mph
Explanation:
7.5 miles / .25 hours = 30 mph
Answer:
2 x 2 x 2 x 3 x 7 = 168
Explanation:
Prime factors of 168: 2, 3 and 7
These are the factors of 168: 1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168. Only 2, 3 and 7 are prime numbers meaning that they are only divisible by themselves and 1. Therefore they are the prime factors.
{Answer}
A- (10kg sphere and 30m)
{I hope this helps :) }
