Answer:
![a' = 0.35 m/s^2](https://tex.z-dn.net/?f=a%27%20%3D%200.35%20m%2Fs%5E2)
Explanation:
Let say the empty wagon has mass "M"
now by newton's II Law we will have
![F = Ma](https://tex.z-dn.net/?f=F%20%3D%20Ma)
now it is given that empty wagon is pulled with acceleration 1.4 m/s/s
now we will have
![F = 1.4 M](https://tex.z-dn.net/?f=F%20%3D%201.4%20M)
now a child of mass three times the mass of wagon is sitting on the empty wagon
so here we have
![F = (M + 3M) a](https://tex.z-dn.net/?f=F%20%3D%20%28M%20%2B%203M%29%20a)
![1.4 M = 4M a'](https://tex.z-dn.net/?f=1.4%20M%20%3D%204M%20a%27)
so we have
![a' = 0.35 m/s^2](https://tex.z-dn.net/?f=a%27%20%3D%200.35%20m%2Fs%5E2)
Answer:
![F_n = k*q*(\frac{2*(y + \frac{\sqrt{3}*a }{2}) }{((y+ \frac{\sqrt{3}*a }{2})^2 + (a/2)^2)^1.5 } +\frac{1}{y^2} )](https://tex.z-dn.net/?f=F_n%20%3D%20k%2Aq%2A%28%5Cfrac%7B2%2A%28y%20%2B%20%5Cfrac%7B%5Csqrt%7B3%7D%2Aa%20%7D%7B2%7D%29%20%7D%7B%28%28y%2B%20%5Cfrac%7B%5Csqrt%7B3%7D%2Aa%20%7D%7B2%7D%29%5E2%20%2B%20%28a%2F2%29%5E2%29%5E1.5%20%7D%20%2B%5Cfrac%7B1%7D%7By%5E2%7D%20%20%29)
Explanation:
Given:
- Three identical charges q.
- Two charges on x - axis separated by distance a about origin
- One on y-axis
- All three charges are vertices
Find:
- Find an expression for the electric field at points on the y-axis above the uppermost charge.
- Show that the working reduces to point charge when y >> a.
Solution
- Take a variable distance y above the top most charge.
- Then compute the distance from charges on the axis to the variable distance y:
![r = \sqrt{(\frac{\sqrt{3}*a }{2} + y)^2 + (a/2)^2 }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%28%5Cfrac%7B%5Csqrt%7B3%7D%2Aa%20%7D%7B2%7D%20%2B%20y%29%5E2%20%2B%20%28a%2F2%29%5E2%20%20%7D)
- Then compute the angle that Force makes with the y axis:
cos(Q) = sqrt(3)*a / 2*r
- The net force due to two charges on x-axis, the vertical components from these two charges are same and directed above:
F_1,2 = 2*F_x*cos(Q)
- The total net force would be:
F_net = F_1,2 + kq / y^2
- Hence,
![F_n = k*q*(\frac{2*(y + \frac{\sqrt{3}*a }{2}) }{((y+ \frac{\sqrt{3}*a }{2})^2 + (a/2)^2)^1.5 } +\frac{1}{y^2} )](https://tex.z-dn.net/?f=F_n%20%3D%20k%2Aq%2A%28%5Cfrac%7B2%2A%28y%20%2B%20%5Cfrac%7B%5Csqrt%7B3%7D%2Aa%20%7D%7B2%7D%29%20%7D%7B%28%28y%2B%20%5Cfrac%7B%5Csqrt%7B3%7D%2Aa%20%7D%7B2%7D%29%5E2%20%2B%20%28a%2F2%29%5E2%29%5E1.5%20%7D%20%2B%5Cfrac%7B1%7D%7By%5E2%7D%20%20%29)
- Now for the limit y >>a:
![F_n = k*q*(\frac{2*y(1 + \frac{\sqrt{3}*a }{2*y}) }{y^3((1+ \frac{\sqrt{3}*a }{2*y})^2 + (a/y*2)^2)^1.5 }) +\frac{1}{y^2} )](https://tex.z-dn.net/?f=F_n%20%3D%20k%2Aq%2A%28%5Cfrac%7B2%2Ay%281%20%2B%20%5Cfrac%7B%5Csqrt%7B3%7D%2Aa%20%7D%7B2%2Ay%7D%29%20%7D%7By%5E3%28%281%2B%20%5Cfrac%7B%5Csqrt%7B3%7D%2Aa%20%7D%7B2%2Ay%7D%29%5E2%20%2B%20%28a%2Fy%2A2%29%5E2%29%5E1.5%20%7D%29%20%2B%5Cfrac%7B1%7D%7By%5E2%7D%20%20%29)
- Insert limit i.e a/y = 0
![F_n = k*q*(\frac{2}{y^2} +\frac{1}{y^2}) \\\\F_n = 3*k*q/y^2](https://tex.z-dn.net/?f=F_n%20%3D%20k%2Aq%2A%28%5Cfrac%7B2%7D%7By%5E2%7D%20%2B%5Cfrac%7B1%7D%7By%5E2%7D%29%20%20%5C%5C%5C%5CF_n%20%3D%203%2Ak%2Aq%2Fy%5E2)
Hence the Electric Field is off a point charge of magnitude 3q.
Answer:
The air in the soccer ball in cold weather will decrease slightly in size and it becomes flat. The air in the soccer ball in hot weather will seem flat because the low preasure leads to lower bounce in the ball.
The metal door frame in cold weather contracts and the wood contracts more in the winter. The metal door frame in hot weather thermal blowing can occur on the outer surface of the metal door frame. Hopefully that is what you were looking for have a good day.
Answer:
So, given the eqn Fg=G(m1+m2/r^2) where G is the gravitational constant, m is the mass of the satellite and m2 is the mass of the earth and r is the distance from earth to the satellite, the force of earths gravity should be quartered.
Cause (2r)^2 gets turned into (4r^2) where 4r^2 is compared to r^2
Explanation:
Answer: <u><em>A</em></u>
Explanation:
A pneumatic control system uses compressed air as a method of control for HVAC systems. ... Each senor responds to changes in temperature, humidity, and static pressure as examples, to provide feedback in a control loop to open or close the actuator to meet the control set point.