Electrostatic forces between charges depend on the product of
the sizes of the charges, and the distance between them.
We should also mention the item about whether the charges are
both the same sign or opposite signs. That determines whether
the forces will pull them together or push them apart, which is a
pretty significant item.
Answer:
The linear velocity is ![v=4.08m/s](https://tex.z-dn.net/?f=v%3D4.08m%2Fs)
Explanation:
According to the law of conservation of energy
The potential energy possessed by the hoop at the top of the inclined plane is converted to the kinetic energy at the foot of the inclined plane
The kinetic energy can be mathematically represented as
![KE = \frac{mv^2}{2} + \frac{Iw}{2}](https://tex.z-dn.net/?f=KE%20%3D%20%5Cfrac%7Bmv%5E2%7D%7B2%7D%20%2B%20%5Cfrac%7BIw%7D%7B2%7D)
Where
is the moment of inertia possessed by the hoop which is mathematically represented as
Here R is the radius of the hoop
is the angular velocity which the hoop has at the bottom of the lower part of the inclined plane which is mathematically represented as
![w = \frac{v}{r}](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7Bv%7D%7Br%7D)
Where v linear speed of the hoop's center of mass just as the hoop leaves the incline and rolls onto a horizontal surface
Now expressing the above statement mathematically
![potential \ energy = \frac{mv^2}{y} + \frac{Iw^2}{2}](https://tex.z-dn.net/?f=potential%20%5C%20energy%20%3D%20%5Cfrac%7Bmv%5E2%7D%7By%7D%20%2B%20%5Cfrac%7BIw%5E2%7D%7B2%7D)
![mgh = \frac{mv^2}{y} + \frac{Iw^2}{2}](https://tex.z-dn.net/?f=mgh%20%3D%20%5Cfrac%7Bmv%5E2%7D%7By%7D%20%2B%20%5Cfrac%7BIw%5E2%7D%7B2%7D)
=>
=> ![mgh = \frac{mv^2}{2} + \frac{mv^2}{2}](https://tex.z-dn.net/?f=mgh%20%3D%20%5Cfrac%7Bmv%5E2%7D%7B2%7D%20%2B%20%5Cfrac%7Bmv%5E2%7D%7B2%7D)
=> ![mgh = mv^2](https://tex.z-dn.net/?f=mgh%20%3D%20mv%5E2)
=> ![v = \sqrt{gh}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7Bgh%7D)
Substituting values
![v = \sqrt{9.81 * 1.7}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B9.81%20%2A%201.7%7D)
![v=4.08m/s](https://tex.z-dn.net/?f=v%3D4.08m%2Fs)
Answer: Distance: 27m Displacement: 7m
Explanation: Distance is total, Displacement is from the start.
Hope this helped!
Mark Brainliest if you feel like it!
Answer:
Your answer is wood that is what they used
Answer:
![\frac{v_{A}}{v_{B}} = 1.785](https://tex.z-dn.net/?f=%5Cfrac%7Bv_%7BA%7D%7D%7Bv_%7BB%7D%7D%20%3D%201.785)
Explanation:
= Tension force in string A = 403 N
= Tension force in string B = 800 N
= diameter of string A = 0.513 mm
= diameter of string B = 1.29 mm
= wave speed of string A
= wave speed of string B
Ratio of the wave speeds is given as
![\frac{v_{A}}{v_{B}} = \sqrt{\frac{T_{A}}{T_{B}}} \left ( \frac{d_{B}}{d_{A}} \right )](https://tex.z-dn.net/?f=%5Cfrac%7Bv_%7BA%7D%7D%7Bv_%7BB%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7BT_%7BA%7D%7D%7BT_%7BB%7D%7D%7D%20%5Cleft%20%28%20%5Cfrac%7Bd_%7BB%7D%7D%7Bd_%7BA%7D%7D%20%5Cright%20%29)
![\frac{v_{A}}{v_{B}} = \sqrt{\frac{403}{800}} \left ( \frac{1.29}{0.513} \right )](https://tex.z-dn.net/?f=%5Cfrac%7Bv_%7BA%7D%7D%7Bv_%7BB%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B403%7D%7B800%7D%7D%20%5Cleft%20%28%20%5Cfrac%7B1.29%7D%7B0.513%7D%20%5Cright%20%29)
![\frac{v_{A}}{v_{B}} = 1.785](https://tex.z-dn.net/?f=%5Cfrac%7Bv_%7BA%7D%7D%7Bv_%7BB%7D%7D%20%3D%201.785)