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katrin2010 [14]
3 years ago
6

Earth rotates on its axis once every 24 hours, so that objects on its surface execute uniform circular motion about the axis wit

h a period of 24 hours. Consider only the effect of this rotation on the person on the surface. (Ignore Earth's orbital motion about the Sun.) (a) What is the speed and what is the magnitude of the acceleration of a person standing on the equator?
Physics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

v=1667.9km/h

a_{cp}=436.6km/h^2

Explanation:

The speed is the distance traveled divided by the time taken. The distance traveled in 24hs while standing on the equator is the circumference of the Earth C=2\pi R, where R=6371km is the radius of the Earth.

We have then:

v=\frac{C}{t}=\frac{2\pi R}{t}=\frac{2\pi (6371km)}{(24h)}=1667.9km/h

And then we use the centripetal acceleration formula:

a_{cp}=\frac{v^2}{R}=\frac{(1667.9km/h)^2}{(6371km)}=436.6km/h^2

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A charge of 4 nc is placed uniformly on a square sheet of nonconducting material of side 17 cm in the yz plane. (a) what is the
Ratling [72]

The charge density of the sheet is 1.384×10⁻⁷C/m².

Charge density is defined as the charge per unit area.

The sheet is a square of length  l=17 cm.

Calculate the area A of the sheet .

A=l^2=(17 cm)^2= (17*10^-^2m)^2=0.0289 m^2

The charge Q on the sheet is

Q=4nC=4*10^-^9C

The charge density σ is given by,

\sigma=\frac{Q}{A}

Substitute 4×10⁻⁹C for Q and 0.0289 m² for A.

\sigma=\frac{Q}{A}\\ =\frac{4*10^-^9C}{0.0289 m^2} \\ =1.389*10^-^7C/m^2

Thus, the charge density of the sheet is <u>1.384×10⁻⁷C/m².</u>

8 0
3 years ago
What is the magnitude of vector K ?
vovangra [49]

Answer:

Vector K = 8 m

Explanation:

The given figure shows a right angle triangle JKL. It is given that :

vector L = 10 m

vector J = 6 m

We have to find vector k. We can find it by using Pythagoras theorem. According to this theorem, the sum of squares of perpendicular and the base is equal to the square of the longest side.

L^2=K^2+J^2

K^2=L^2-J^2

K^2=(100)^2-(6)^2

K = 8 m

Hence, the magnitude of vector K is 8 m.

3 0
3 years ago
A runner starts at position zero and moves in one direction to position 12m 3. What is the distance traveled by the runner?
murzikaleks [220]

<u>Distance = 12 m</u>

<u>Explanation:</u>

Distance covered by the runner is same as the total path that he has ran. Here, a person starts at 0 position and goes in one direction to position 12 m. Since the initial point is 0 and the final position is 12, the total distance is calculated by adding the 2 points as: 0+12 = 12 m. So the distance covered and the displacement both are same which is 12 meters.

Distance traveled is the full length of the path covered between two points. It is not a vector and the direction is nil and no negative sign.  Example : The distance walked by the teacher is 3.0 m ,The distance walked by a passenger is 5.0 m. Also, the distance traveled need not be equal to the magnitude of the displacement which is the distance between the two positions.

5 0
3 years ago
In a parallel portion of a series-parallel circuit, the voltage across the branches can be found by multiplying the sum of the b
Julli [10]

Answer:

It's true.

Explanation:

It's true. When we connect two resistors in parallel the current is divided between the two in such a way that the sum of the currents on each resistor should be equal to the current on that branch. By finding the equivalent resistance we can use Ohm's law to determine the voltage drop across the resistors. This voltage drop is the same for both, since they're connected in parallel.

8 0
3 years ago
Which scientist discovered the two radioactive elements radium and polonium?
kolezko [41]
The scientist who discovered the two elements radium and polonium would be Marie Curie in 1898.

Hope this helps!
6 0
3 years ago
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