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TiliK225 [7]
3 years ago
11

On the position-time graph, what is the average velocity between 5 s and 10 s?

Physics
1 answer:
Stells [14]3 years ago
5 0
For this case, we observe that in the interval of 5 to 10 seconds the behavior of the function is linear. Therefore, the average speed in that interval will be given by the slope of the line. This can be calculated as follows
 m = (y2-y1) / (x2-x1)
 Substituting the values of points A and C
 m = ((30) - (10)) / ((10) - (5)) = 4
 answer
 the average velocity between 5 s and 10 s is 4m / s
 B. +4.0 m / s
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A 2.0-cm-diameter parallel-plate capacitor with a spacing of 0.50 mm is charged to 200 V?What is the total energy stores in the
Rama09 [41]

1) 1.11\cdot 10^{-7} J

The capacitance of a parallel-plate capacitor is given by:

C=\frac{\epsilon_0 A}{d}

where

\epsilon_0 is the vacuum permittivity

A is the area of each plate

d is the distance between the plates

Here, the radius of each plate is

r=\frac{2.0 cm}{2}=1.0 cm=0.01 m

so the area is

A=\pi r^2 = \pi (0.01 m)^2=3.14\cdot 10^{-4} m^2

While the separation between the plates is

d=0.50 mm=5\cdot 10^{-4} m

So the capacitance is

C=\frac{(8.85\cdot 10^{-12} F/m)(3.14\cdot 10^{-4} m^2)}{5\cdot 10^{-4} m}=5.56\cdot 10^{-12} F

And now we can find the energy stored,which is given by:

U=\frac{1}{2}CV^2=\frac{1}{2}(5.56\cdot 10^{-12} F/m)(200 V)^2=1.11\cdot 10^{-7} J

2) 0.71 J/m^3

The magnitude of the electric field is given by

E=\frac{V}{d}=\frac{200 V}{5\cdot 10^{-4} m}=4\cdot 10^5 V/m

and the energy density of the electric field is given by

u=\frac{1}{2}\epsilon_0 E^2

and using

E=4\cdot 10^5 V/m, we find

u=\frac{1}{2}(8.85\cdot 10^{-12} F/m)(4\cdot 10^5 V/m)^2=0.71 J/m^3

7 0
4 years ago
A pail of water is rotated in a vertical circle of radius r = 1.6 m . The acceleration of gravity is 9.8 m/s 2 . r v What is the
Snowcat [4.5K]

Answer:3.95 m/s

Explanation:

Given

radius of circle r=1.6 m

Water will not spill if the centripetal acceleration is greater than acceleration due to gravity

i.e. a_c\geq g

a_c=\frac{v^2}{r}

\frac{v^2}{r}\geq g

v_{min}=\sqrt{gr}

v_{min}=\sqrt{9.8\times 1.6}

v_{min}=\sqrt{15.68}

v_{min}=3.95 m/s

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Answer:

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Explanation:

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