To solve this problem we will apply the Newtonian concept of gravitational acceleration produced by a planet. This relationship is given by:
![g = \frac{GM}{r^2}](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7BGM%7D%7Br%5E2%7D)
Where,
G = Gravitational Universal Constant
M = Mass of Earth
r = Radius
The values given are based on the constants of the earth, so they can be expressed as
![M_p = \frac{1}{100} M_e](https://tex.z-dn.net/?f=M_p%20%3D%20%5Cfrac%7B1%7D%7B100%7D%20M_e)
![r_p = \frac{1}{4} r_e](https://tex.z-dn.net/?f=r_p%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20r_e)
The relationship of gravity would then be given:
![g_e = \frac{GM_e}{r_e^2}](https://tex.z-dn.net/?f=g_e%20%3D%20%5Cfrac%7BGM_e%7D%7Br_e%5E2%7D)
The relationship with the new planet, from the gravity of the earth would be given
![g_p = \frac{GM_p}{r_p^2}](https://tex.z-dn.net/?f=g_p%20%3D%20%5Cfrac%7BGM_p%7D%7Br_p%5E2%7D)
![g_p = \frac{G(1/100)M_e}{(1/4 r_e)^2}](https://tex.z-dn.net/?f=g_p%20%3D%20%5Cfrac%7BG%281%2F100%29M_e%7D%7B%281%2F4%20r_e%29%5E2%7D)
![g_p = \frac{GM_e 16}{100 r_e^2}](https://tex.z-dn.net/?f=g_p%20%3D%20%5Cfrac%7BGM_e%2016%7D%7B100%20r_e%5E2%7D)
![g_p = 0.16 \frac{GM_e}{r_e^2}](https://tex.z-dn.net/?f=g_p%20%3D%200.16%20%5Cfrac%7BGM_e%7D%7Br_e%5E2%7D)
![g_p = 0.16g_e](https://tex.z-dn.net/?f=g_p%20%3D%200.16g_e)
The relationship with the weight of the earth would be given as:
![W_e = m*g_e = 600N](https://tex.z-dn.net/?f=W_e%20%3D%20m%2Ag_e%20%3D%20600N)
![W_p = m*g_p = m(0.16g_p)](https://tex.z-dn.net/?f=W_p%20%3D%20m%2Ag_p%20%3D%20m%280.16g_p%29)
![W_p = (m*g_p)(0.16)](https://tex.z-dn.net/?f=W_p%20%3D%20%28m%2Ag_p%29%280.16%29)
![W_p = 600*0.16](https://tex.z-dn.net/?f=W_p%20%3D%20600%2A0.16)
![W_p = 96N](https://tex.z-dn.net/?f=W_p%20%3D%2096N)
Therefore the weigh on this planet would be 96N
Answer:
The length of the bond is determined by the number of bonded electrons (the bond order). The higher the bond order, the stronger the pull between the two atoms and the shorter the bond length. Generally, the length of the bond between two atoms is approximately the sum of the covalent radii of the two atoms.
Explanation:
Answer:
The heating of saturated solutions lead to the increase in their solubility. The kinetic energy of the liquid molecules increases on increasing the temperature due to which they move apart from each other creating more space for the solute molecules to dissolve thereby increasing the solubility.
So we want to know how long should we make the simple pendulum so it's period is T=200 ms = 0.2 s. Since the formula for simple pendulum is T=2*pi*sqrt(L/g) where T is the period, L is the length and g=9.81 m/s^2. Now we need to invert the formula to get the length: T/2pi=sqrt(L/g), we square both sides of the equation: (T/2pi)^2=L/g and multiply both sides with g:
g*(T/2pi)^2=L. Now we input the numbers and get that the length L= 0.00995m.