Answer:
θ=5.65°
Explanation:
Given Data
Mass m=1.5 kg
Length L=0.80 m
First spring constant k₁=35 N/m
Second spring constant k₂=56 N/m
To find
Angle θ
Solution
As the both springs take half load so apply Hooks Law:
Force= Spring Constant ×Spring stretch
F=kx
x=F/k
as
![d=x_{1}-x_{2}\\ as \\x=F/k\\so\\d=\frac{F_{1} }{k_{1}} -\frac{F_{2}}{k_{2}}\\ Where \\F=1/2mg\\d=\frac{(1/2)mg}{k_{1}} -\frac{(1/2)mg}{k_{2}}\\ d=\frac{mg}{2}(\frac{1}{k_{1}} -\frac{1}{k_{2}} )\\ And\\Sin\alpha=d/L\\\\alpha =sin^{-1}[\frac{mg}{2L}(1/k_{1}-1/k_{2})]\\\alpha =sin^{-1}[\frac{(1.5kg)(9.8m/s^{2} )}{2(0.80m)}(1/35Nm-1/56Nm) ]\\\alpha =5.65^{o}](https://tex.z-dn.net/?f=d%3Dx_%7B1%7D-x_%7B2%7D%5C%5C%20%20as%20%5C%5Cx%3DF%2Fk%5C%5Cso%5C%5Cd%3D%5Cfrac%7BF_%7B1%7D%20%7D%7Bk_%7B1%7D%7D%20-%5Cfrac%7BF_%7B2%7D%7D%7Bk_%7B2%7D%7D%5C%5C%20Where%20%5C%5CF%3D1%2F2mg%5C%5Cd%3D%5Cfrac%7B%281%2F2%29mg%7D%7Bk_%7B1%7D%7D%20-%5Cfrac%7B%281%2F2%29mg%7D%7Bk_%7B2%7D%7D%5C%5C%20d%3D%5Cfrac%7Bmg%7D%7B2%7D%28%5Cfrac%7B1%7D%7Bk_%7B1%7D%7D%20-%5Cfrac%7B1%7D%7Bk_%7B2%7D%7D%20%29%5C%5C%20And%5C%5CSin%5Calpha%3Dd%2FL%5C%5C%5C%5Calpha%20%3Dsin%5E%7B-1%7D%5B%5Cfrac%7Bmg%7D%7B2L%7D%281%2Fk_%7B1%7D-1%2Fk_%7B2%7D%29%5D%5C%5C%5Calpha%20%20%20%3Dsin%5E%7B-1%7D%5B%5Cfrac%7B%281.5kg%29%289.8m%2Fs%5E%7B2%7D%20%29%7D%7B2%280.80m%29%7D%281%2F35Nm-1%2F56Nm%29%20%5D%5C%5C%5Calpha%20%3D5.65%5E%7Bo%7D)
θ=5.65°
A meteor is the flash of light that we see in the night sky when a small chunk of interplanetary debris burns up as it passes through our atmosphere. "Meteor" refers to the flash of light caused by the debris, not the debris itself.
If any part of a meteoroid survives the fall through the atmosphere and lands on Earth, it is called a meteorite.
The radius of the sphere is r=5.15 cm=0.0515 m, and its surface is given by
So the total charge on the surface of the sphere is, using the charge density
:
The electrostatic force between the sphere and the point charge is:
where
ke is the Coulomb's constant
Q is the charge on the sphere
is the point charge
r is their separation
Re-arranging the equation, we can find the separation between the sphere and the point charge:
Answer:
latent heat, also called the heat of vaporization, is the amount of energy necessary to change a liquid to a vapour at constant temperature and pressure. The energy required to melt a solid to a liquid is called the heat of fusion, and the heat of sublimation is the energy
Explanation:
