The center of mass is given with this formula:
![x_c=\frac{\sum_{n=1}^{n=i}m_ix_i}{M}](https://tex.z-dn.net/?f=x_c%3D%5Cfrac%7B%5Csum_%7Bn%3D1%7D%5E%7Bn%3Di%7Dm_ix_i%7D%7BM%7D)
Velocity is:
![v=\frac{dv}{dt}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bdv%7D%7Bdt%7D)
So, for the velocity of the center of mass we have:
![\frac{dx_c}{dt}=\frac{\sum_{n=1}^{n=i}d(m_ix_i)}{Mdt}\\ v_c=\frac{\sum_{n=1}^{n=i}p_i}{M}\\](https://tex.z-dn.net/?f=%5Cfrac%7Bdx_c%7D%7Bdt%7D%3D%5Cfrac%7B%5Csum_%7Bn%3D1%7D%5E%7Bn%3Di%7Dd%28m_ix_i%29%7D%7BMdt%7D%5C%5C%0Av_c%3D%5Cfrac%7B%5Csum_%7Bn%3D1%7D%5E%7Bn%3Di%7Dp_i%7D%7BM%7D%5C%5C)
In our case it is:
Answer:
2.5
Explanation:
The capacitance of a parallel-plate capacitor filled with dielectric is given by
![C=kC_0](https://tex.z-dn.net/?f=C%3DkC_0)
where
k is the dielectric constant
is the capacitance of the capacitor without dielectric
In this problem,
is the capacitance of the capacitor in air
is the capacitance with the dielectric inserted
Solving the equation for k, we find
![k=\frac{C}{C_0}=\frac{3.0 nF}{1.2 nF}=2.5](https://tex.z-dn.net/?f=k%3D%5Cfrac%7BC%7D%7BC_0%7D%3D%5Cfrac%7B3.0%20nF%7D%7B1.2%20nF%7D%3D2.5)
Answer:
wasts materials such as cans. it can hit space crafts and satellites. no one has ever been killed by space debris, space vessels very rarely are seriously damaged.
The formula relating acceleration and angular velocity is:
a = ω^2 r
where a is acceleration, ω is angular velocity and r is
radius
But the angular velocity ω is constant all throughout the
disk therefore:
a1 / r1 = a2 / r2
So at points:
<span>r1 = 0.0130 m ->
a1 = 393 m/s^2</span>
<span>r2 = 0.0884 m ->
a2 = ?</span>
393 / 0.0130 = a2 / 0.0884
<span>a2 = 2,672.4 m/s^2</span>
The form of energy that can move from place to place across the universe is light energy. On earth, the main source of this energy is Sun. Most of the light energy comes from the sun because it is the primary source of all the energies. The food, fossil fuels, movement of winds, etc all exists due to Sun. Without sun, there won't be any light energy on the earth. In all the processes which occur on earth has a direct or indirect involvement of light energy which comes from sun.