The mass is 10.811 hope this helps
The car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.
<h3>Average velocity of the car</h3>
The average velocity of the car is calculated as follows;
x(t) = a + bt + ct2
v = dx/dt
v(t) = b + 2ct
v(0) = -10.1 m/s + 2(1.1)(0) = -10.1 m/s
v(10) = -10.1 + 2(1.1)(10) = 11.9 m/s
<h3>Average velocity</h3>
V = ¹/₂[v(0) + v(10)]
V = ¹/₂ (-10.1 + 11.9 )
V = 0.9 m/s
Thus, the car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.
Learn more about velocity here: brainly.com/question/4931057
#SPJ1
Displacement is a vector magnitude that depends on the position of the body which is individualistic for the trajectory.
While, Distance is a scalar magnitude that measures over the trajectory.
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.
Scientists have been observing Earth for a long time. They use NASA satellites and other instruments to collect many types of information about Earth's land, atmosphere, ocean and ice. This information tells us that Earth's climate is getting warmer.
Extra:
Extra greenhouse gases in our atmosphere are the main reason that Earth is getting warmer. Greenhouse gases, such as carbon dioxide (CO2) and methane, trap the Sun's heat in Earth's atmosphere.
It's normal for there to be some greenhouse gases in our atmosphere. They help keep Earth warm enough to live on. But too many greenhouse gases can cause too much warming.
The burning of fossil fuels like coal and oil increase the amount of CO2 in our air. This happens because the burning process combines carbon with oxygen in the air to make CO2.
It's important that we monitor CO2 levels, because too much CO2 can cause too much warming on Earth. Several NASA missions have instruments that study CO2 in the atmosphere.