Answer:
2.068 x 10^6 m / s
Explanation:
radius, r = 5.92 x 10^-11 m
mass of electron, m = 9.1 x 10^-31 kg
charge of electron, q = 1.6 x 10^-19 C
As the electron is revolving in a circular path, it experiences a centripetal force which is balanced by the electrostatic force between the electron and the nucleus.
centripetal force = ![\frac{mv^{2}}{r}](https://tex.z-dn.net/?f=%5Cfrac%7Bmv%5E%7B2%7D%7D%7Br%7D)
Electrostatic force = ![\frac{kq^{2}}{r^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bkq%5E%7B2%7D%7D%7Br%5E%7B2%7D%7D)
where, k be the Coulombic constant, k = 9 x 10^9 Nm^2 / C^2
So, balancing both the forces we get
![\frac{kq^{2}}{r^{2}}=\frac{mv^{2}}{r}](https://tex.z-dn.net/?f=%5Cfrac%7Bkq%5E%7B2%7D%7D%7Br%5E%7B2%7D%7D%3D%5Cfrac%7Bmv%5E%7B2%7D%7D%7Br%7D)
![v=\sqrt{\frac{kq^{2}}{mr}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7Bkq%5E%7B2%7D%7D%7Bmr%7D%7D)
![v=\sqrt{\frac{9\times 10^{9}\times1.6\times 10^{-19}\times 1.6\times 10^{-19}}{9.1\times 10^{-31}\times 5.92\times10^{-11}}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7B9%5Ctimes%2010%5E%7B9%7D%5Ctimes1.6%5Ctimes%2010%5E%7B-19%7D%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%7D%7B9.1%5Ctimes%2010%5E%7B-31%7D%5Ctimes%205.92%5Ctimes10%5E%7B-11%7D%7D%7D)
v = 2.068 x 10^6 m / s
Thus, the speed of the electron is give by 2.068 x 10^6 m / s.
Answer:
52.9 N, 364.7 N
Explanation:
First of all, we need to resolve both forces along the x- and y- direction. We have:
- Force A (178 N)
![A_x = (178 N)(cos 41.7^{\circ})=132.9 N\\A_y = (178 N)(sin 41.7^{\circ})=118.4 N](https://tex.z-dn.net/?f=A_x%20%3D%20%28178%20N%29%28cos%2041.7%5E%7B%5Ccirc%7D%29%3D132.9%20N%5C%5CA_y%20%3D%20%28178%20N%29%28sin%2041.7%5E%7B%5Ccirc%7D%29%3D118.4%20N)
- Force B (259 N)
![B_x = (259 N)(cos 108^{\circ})=-80.0 N\\B_y = (259 N)(sin 108^{\circ})=246.3 N](https://tex.z-dn.net/?f=B_x%20%3D%20%28259%20N%29%28cos%20108%5E%7B%5Ccirc%7D%29%3D-80.0%20N%5C%5CB_y%20%3D%20%28259%20N%29%28sin%20108%5E%7B%5Ccirc%7D%29%3D246.3%20N)
So the x- and y- component of the total force acting on the block are:
![R_x = A_x + B_x = 132.9 N - 80.0 N =52.9 N\\R_y = A_y + B_y = 118.4 N +246.3 N = 364.7 N](https://tex.z-dn.net/?f=R_x%20%3D%20A_x%20%2B%20B_x%20%3D%20132.9%20N%20-%2080.0%20N%20%3D52.9%20N%5C%5CR_y%20%3D%20A_y%20%2B%20B_y%20%3D%20118.4%20N%20%2B246.3%20N%20%3D%20364.7%20N)
Explanation:
V=40m/s
Vy=V.sina=40.sin20=40 . 0.342=13.68m/s
Vx=V.cosa=40.cos20=40 . 0.766=30.64m/s
Projectile travels during 5 seconds and the ramge becomes:
x=V.t=30.64 . 5=153.2m
This
B: False, because the definition
is lacking.
Force
is when two objects interact with one another causing it to either move or not
move. In our daily lives there are a lot of times force is exerted upon us,
rather force is everywhere and here are the evidences:
*Pushing
a cart
*Pushing
a wall
*Hitting
a baseball bat
*Apple
falling down from a tree.
*Balls
hitting one another
*A
swinging pendulum
*Throwing
a paper with stone above it
*Breaking
of glass in the floor
*Falling
of leaves on the grass
<span> </span>
"The <span>ground is positively charged and the clouds are negatively charged " is the statement among the statements given in the question that </span><span>best explains the movement of electric current from the clouds to the ground during a lightning storm. The correct option among all the options that are given in the question is the third option or option "C". </span>