The periods of oscillation for the mass–spring systems from largest to smallest is:
- m = 4 kg , k = 2 N/m (T = 8.89 s)
- m = 2 kg , k = 2 N/m (T = 6.28 s)
- m = 2 kg , k = 4 N/m (T = 4.44 s)
- m = 1 kg , k = 4 N/m (T = 3.14 s)
<h3>Explanation:</h3>
The period of oscillation in a simple harmonic motion is defined as the following formulation:

Where:
T = period of oscillation
m = inertia mass of the oscillating body
k = spring constant
m = 2 kg , k = 2 N/m


T = 6.28 s
m = 2 kg , k = 4 N/m


T = 4.44 s
m = 4 kg , k = 2 N/m


T = 8.89 s
m = 1 kg , k = 4 N/m


T = 3.14 s
Therefore the rank the periods of oscillation for the mass–spring systems from largest to smallest is:
- m = 4 kg , k = 2 N/m (T = 8.89 s)
- m = 2 kg , k = 2 N/m (T = 6.28 s)
- m = 2 kg , k = 4 N/m (T = 4.44 s)
- m = 1 kg , k = 4 N/m (T = 3.14 s)
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Answer:
New force, 
Explanation:
The electrostatic force between two spheres is given by :

According to given condition, each of the spheres has lost half its initial charge, new force is given by :



So, the new force becomes (1/4)th of the initial force. Hence, the correct option is (d).
Answer:
The velocity of the light will be 1.0c only
Explanation:
The velocity of the light measured in the case given in question will be 1.0c only.
This is due to the fact that the velocity of light is never relative. The velocity of the light is maximum
The velocity of the light cannot be scaled down in no case
Thus, the velocity of the light remains as constant.
Hence, the velocity of the light measured will be 1.0c although the ships have relative velocity.
-40 c = -40 f but k would be 233.15
Answer:
The velocity of the Mr. miles is 17.14 m/s.
Explanation:
It is given that,
Mr. Miles zips down a water-slide starting at 15 m vertical distance up the scaffolding, h = 15 m
We need to find the velocity of the Mr. Miles at the bottom of the slide. It is a case of conservation of energy which states that the total energy of the system remains conserved. Let v is the velocity of the Mr. miles. So,

g is the acceleration due to gravity

v = 17.14 m/s
So, the velocity of the Mr. miles is 17.14 m/s. Hence, this is the required solution.