Answer:
d = V/E
Explanation:
From the definition, we can say that the electric field strength between the plates of a parallel plate capacitor is
E = v/d
where
E = electric field strength
V = potential difference
d = distance between the plates
On rearranging the equation and making d subject of the formula, we have
d = V/E
From the question, we're given that
V = 112 V
E = 1.12 kV/cm converting to V/m, we have 110000 V/cm
d = 112 / 110000
d = 0.00102 m
d = 1.02*10^-3 m
Answer:
0.426 L
Explanation:
Boyles law is expressed as p1v1=p2v2 where
P1 is first pressure, v1 is first volume
P2 is second pressure, v2 is second volume.
Given information
P1=96 kPa, v1=0.45 l
P2=101.3 kpa
Unknown is v2
Making v2 the subject from Boyle's law

Substituting the given values then

Therefore, the volume is approximately 0.426 L
Answer:
negative
Explanation:
positive charges attract negative charges and vice versa. and are possible to nullify
Answer:
Average Speed = 6.37 m/s
Explanation:
The average speed is simply given by the following formula:
Average Speed = Total Distance Traveled/Total Time Spent
here,
Total Time Spent = 1.1 min + 1.5 min = (2.6 min)(60 s/min) = 156 s
Now, for total distance, we have to calculate the distance traveled on tortoise and distance traveled while flying, separately. Therefore,
Distance Traveled on Tortoise = (Time spent on Tortoise)(Speed of Tortoise)
Distance Traveled on Tortoise = (1.1 min)(60 s/min)(0.06 m/s) = 3.96 m
Similarly,
Flying Distance = (Flying Time)(Flying Speed) = (1.5 min)(60 s/min)(11 m/s)
Flying Distance = 990 m
Since, total distance is the sum of both distances, therefore,
Total Distance = 3.96 m + 990 m = 993.96 m
Now, using the values in equation of average speed, we get:
Average Speed = 993.96 m/156 s
<u>Average Speed = 6.37 m/s</u>
Answer:
h'=0.25m/s
Explanation:
In order to solve this problem, we need to start by drawing a diagram of the given situation. (See attached image).
So, the problem talks about an inverted circular cone with a given height and radius. The problem also tells us that water is being pumped into the tank at a rate of
. As you may see, the problem is talking about a rate of volume over time. So we need to relate the volume, with the height of the cone with its radius. This relation is found on the volume of a cone formula:

notie the volume formula has two unknowns or variables, so we need to relate the radius with the height with an equation we can use to rewrite our volume formula in terms of either the radius or the height. Since in this case the problem wants us to find the rate of change over time of the height of the gasoline tank, we will need to rewrite our formula in terms of the height h.
If we take a look at a cross section of the cone, we can see that we can use similar triangles to find the equation we are looking for. When using similar triangles we get:

When solving for r, we get:

so we can substitute this into our volume of a cone formula:

which simplifies to:


So now we can proceed and find the partial derivative over time of each of the sides of the equation, so we get:

Which simplifies to:

So now I can solve the equation for dh/dt (the rate of height over time, the velocity at which height is increasing)
So we get:

Now we can substitute the provided values into our equation. So we get:

so:
