Is impossible say how many stars are in the sky haha
The correct answer is<span> The earth casts a shadow on the moon
The Earth casts a shadow on the moon and that's why we can't see the remaining parts. The parts that we can see are what we call the lunar phases.</span>
Answer:
The force constant is ![k =1.316 *10^{7} \ N/m](https://tex.z-dn.net/?f=k%20%3D1.316%20%2A10%5E%7B7%7D%20%5C%20%20N%2Fm)
The energy stored in the spring is ![E = 1.68 *10^{7} \ J](https://tex.z-dn.net/?f=E%20%3D%20%201.68%20%2A10%5E%7B7%7D%20%5C%20J)
Explanation:
From the question we are told that
The mass of the object is ![M = 4.8*10^{5} \ kg](https://tex.z-dn.net/?f=M%20%20%3D%204.8%2A10%5E%7B5%7D%20%5C%20kg)
The period is ![T = 1.2 \ s](https://tex.z-dn.net/?f=T%20%20%3D%201.2%20%5C%20s)
The period of the spring oscillation is mathematically represented as
![T =2 \pi \sqrt{ \frac{M}{k}}](https://tex.z-dn.net/?f=T%20%20%3D2%20%5Cpi%20%5Csqrt%7B%20%5Cfrac%7BM%7D%7Bk%7D%7D)
where k is the force constant
So making k the subject
![k = \frac{4 \pi ^2 M }{T^2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B4%20%5Cpi%20%5E2%20M%20%7D%7BT%5E2%7D)
substituting values
![k = \frac{4 (3.142) ^2 (4.8 *10^{5}) }{(1.2)^2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B4%20%283.142%29%20%5E2%20%284.8%20%2A10%5E%7B5%7D%29%20%7D%7B%281.2%29%5E2%7D)
![k =1.316 *10^{7} \ N/m](https://tex.z-dn.net/?f=k%20%3D1.316%20%2A10%5E%7B7%7D%20%5C%20%20N%2Fm)
The energy stored in the spring is mathematically represented as
![E = \frac{1}{2} k x^2](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20k%20x%5E2)
Where x is the spring displacement which is given as
![x = 1.6 \ m](https://tex.z-dn.net/?f=x%20%3D%20%201.6%20%5C%20m)
substituting values
![E = \frac{1}{2} (1.316 *10^{7}) (1.6)^2](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%281.316%20%2A10%5E%7B7%7D%29%20%281.6%29%5E2)
![E = 1.68 *10^{7} \ J](https://tex.z-dn.net/?f=E%20%3D%20%201.68%20%2A10%5E%7B7%7D%20%5C%20J)
- The Solar System contains the sun and objects that orbit it, including the eight planets, comets, and asteroids, and the Galaxy contains about 100 billion stars, of which the sun is one, as well as large clouds of gas and dust. - The universe contains all physical matter and energy
So Therefore Universe Is the biggest terms of size because it contains all physical matter and energy hope it helps
Answer:
The rock's speed after 5 seconds is 98 m/s.
Explanation:
A rock is dropped off a cliff.
It had an initial velocity of 0 m/s. And now it is moving downwards under the influence of gravitational force with the gravitational acceleration of 9.8 m/s².
Speed after 5 seconds = V
We know that acceleration = average speed/time
In our case,
g = ((0+V)/2)/5
9.8*5 = V/2
=> V = 2*9.8*5
V = 98 m/s