Answer:
See the explanation below
Explanation:
This happens because the coffee was at rest, at the time when the car accelerates to move forward the container containing the coffee also accelerates in the same direction, the liquid when moving suddenly spills. The same will happen if the car slows down, any sudden movement changes will cause the coffee to spill, understood by sudden movements when it accelerates or slows down.
Displacement and distance are two different things, distance is the total distance traveled, this would be easy in the case of the ant, that would simply be 15+25= 40cm.
But, displacement is the 'birds eye' distance between two points, in this question it can be worked out using Pythagoras. (there is a right angled triangle) imagine the base of this triangle is the east direction and north being the upright. then the displacement would be the largest side of the triangle, or the hypotenuse.
Pythagoras said that A^2 + B^2 = C^2
where C is the hypotenuse.
so 15^2 + 25^2 = C^2
C^2 =850
simply square root this to get C
sqrt(850) = 29.15 cm
29.15 cm displaced by the ant
Answer:
Charge stored after insertion will be ![22.257\times 10^{-5}C](https://tex.z-dn.net/?f=22.257%5Ctimes%2010%5E%7B-5%7DC)
Explanation:
We have given potential difference V =2.63 V
charge stored by the capacitor when without dielectric = ![6.27\times 10^{-5}C](https://tex.z-dn.net/?f=6.27%5Ctimes%2010%5E%7B-5%7DC)
We know that
, here
is capacitance without dielectric
![6.27\times 10^{-27}=2.63\times C_0](https://tex.z-dn.net/?f=6.27%5Ctimes%2010%5E%7B-27%7D%3D2.63%5Ctimes%20C_0)
![C_0=2.384\times 10^{-5}F](https://tex.z-dn.net/?f=C_0%3D2.384%5Ctimes%2010%5E%7B-5%7DF)
We have given
k = dielectric constant = 5.99
C = Capacitance with the dielectric = k
= 3.55×
= ![8.463\times 10^{-5}F](https://tex.z-dn.net/?f=8.463%5Ctimes%2010%5E%7B-5%7DF)
Potential difference is due to the external charging source so it remains same
V = potential difference after insertion = 2.63 volts
New charge stored , ![Q=CV=8.463\times 10^{-5}\times 2.63=22.257\times 10^{-5}C](https://tex.z-dn.net/?f=Q%3DCV%3D8.463%5Ctimes%2010%5E%7B-5%7D%5Ctimes%202.63%3D22.257%5Ctimes%2010%5E%7B-5%7DC)