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:
![T=2\pi \sqrt{\frac{m}{k} }](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7Bm%7D%7Bk%7D%20%7D)
Where:
T = period of oscillation
m = inertia mass of the oscillating body
k = spring constant
m = 2 kg , k = 2 N/m
![T=2\pi \sqrt{\frac{2}{2} }](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7B2%7D%7B2%7D%20%7D)
![T=2\pi](https://tex.z-dn.net/?f=T%3D2%5Cpi)
T = 6.28 s
m = 2 kg , k = 4 N/m
![T=2\pi \sqrt{\frac{2}{4} }](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7B2%7D%7B4%7D%20%7D)
![T=2\pi \sqrt{\frac{1}{2} }](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
T = 4.44 s
m = 4 kg , k = 2 N/m
![T=2\pi \sqrt{\frac{4}{2} }](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7B4%7D%7B2%7D%20%7D)
![T=2\pi \sqrt{2 }](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B2%20%7D%20)
T = 8.89 s
m = 1 kg , k = 4 N/m
![T=2\pi \sqrt{\frac{1}{4} }](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D%20%7D)
![T=\pi](https://tex.z-dn.net/?f=T%3D%5Cpi%20)
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)
Learn more about simple harmonic motion brainly.com/question/13058166
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Answer:
2.A flowerpot falling from a balcony
Explanation:
Potential energy is the internal energy within a body at rest or at a height above the ground. In this case of the falling flowerpot, the flowerpot initially has a potential energy due to its position on the balcony above the surface of the earth. As the flowerpot falls, the work done against gravity in taking the flowerpot to this height on the balcony (equivalent to the potential energy) is transformed into the kinetic energy of motion as the flowerpot falls down through the height.
Answer: Acceleration = 5m/s^2; Distance traveled = 320 m
Explanation:
Velocity of car = 40m/s
Time taken = 8 seconds
Acceleration = ?
Distance traveled = ?
A) Since acceleration is the rate of change of velocity per unit time
i.e acceleration = velocity / time
acceleration = 40m/s / 8 seconds
Acceleration = 5m/s^2
B) To get how far the car traveled before stopping, obtain the distance from the formula:
velocity = distance traveled / time
40m/s = distance / 8 seconds
Distance = 40m/s x 8 seconds
Distance = 320 m
Thus, the car’s acceleration is 5m/s^2 while it traveled 320 metres before stopping.
Answer:
588 N
Explanation:
weigh = Mg
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