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BabaBlast [244]
3 years ago
7

A pendulum Bob released from some initial height such that the speed of the bob at the bottom of the swing is 1.9m/s. What is th

e initial height of the bob?
Physics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer:

h = 18.4 cm

Explanation:

Given that,

The speed of the bob at the bottom of the swing is 1.9m/s.

We need to find the initial height of the bob. Let it is h.

We can find it using the conservation of energy i.e.

mgh=\dfrac{1}{2}mv^2

Where

v is speed of the bob

So,

h=\dfrac{v^2}{2g}\\\\h=\dfrac{(1.9)^2}{2\times 9.8}\\\\h= 0.184\ m

or

h = 18.4 cm

So, the initial height of the bob is 18.4 cm.

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A solid sphere of radius R is made of a metallic conductor. A hollow spherical shell of the same radius R is made of the same co
Harrizon [31]

1-2) They have same surface charge density

3-4) The metallic conductor has greatest surface charge density

Explanation:

1-2)

In a conductor, the charge carriers (mainly electrons) are free to move. Therefore, as a result, they tend to move at the largest possible distance from each other, because of the repulsive force that they exert on each other.

The configuration that maximize the distance between the charge carriers for a solid sphere of metallic conductor is the one in which all the electrons are on the surface, and they are equally spaced between each other. This means that for the solid sphere of radius R, the excess charge Q will be entirely spread over the surface of the sphere.

Similarly, the excess charge Q on the hollow spherical shell (which is also made of the same conducting material) will also be spread over the surface with the charge carriers at the maximum distance from each other. Therefore, the surface charge density for both objects will be

\sigma = \frac{Q}{4\pi R^2}

where R is the radius of the two spheres.

3-4)

In this case, the surface charge density on the two objects is different.

In fact, on the metallic sphere (conducting) the surface charge density is (as explained in part 1):

\sigma = \frac{Q}{4\pi R^2}

Hoever, the second sphere is made of an insulating material. In an insulator, the charge carriers are not free to move. If the initial charge Q is spread across the all sphere (which is not hollow), this means that some of the charge will actually also be inside the sphere. So the charge deposited on the surface, Q', will be less than the total charge Q. Therefore, the surface charge density will be

\sigma' = \frac{Q'}{4\pi R^2}

And since Q' < Q, this means that \sigma', so the conducting sphere has a greatest surface charge  density.

4 0
3 years ago
A football player runs from his own goal line to the opposing team's goal line, returning to his forty-yard line, all in 22.4 s.
Bumek [7]
I assume L=120 yards as the length of the football field.

1) The average speed is given by the total distance covered by the player divided by the time taken.
The total distance covered to go from one goal line to the other and then back to the 40-yards line is
S=120y+(120-40)y=120y+80y=200 y
And the time taken is t=22.4 s, so the average speed of the player is
v= \frac{S}{t}= \frac{200 y}{22.4 s}=8.93 y/s

2) The find the average velocity, we should also consider the direction (and the sign) of the velocity.
In the the first part of the motion, the player goes from one goal line to the other one, so he covers 120 y. However, in the second part of the motion he goes back by 80 y. Therefore, the net displacement of the player is
S=120 y-80 y=40 y
and so, the average velocity is
v= \frac{S}{t}= \frac{40 y}{22.4 s}= 1.79 y/s
6 0
3 years ago
Hydrogen is found as a gas on Earth but exists in all four states in the solar
aleksklad [387]

Answer:the sample of solid has less energy than the sample of gas

Explanation:

Apex

3 0
3 years ago
Strontium has how many neutrons
Lilit [14]

Answer:

50

Explanation:

7 0
4 years ago
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If you drive at a speed of 63.2 miles/hour for 7.5 hours, how far will you go
Rasek [7]

Answer:

474 miles

Explanation:

63.2 x 7.5 = 474

4 0
3 years ago
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