the average human walk 5km per hour. if your PE teacher asks you to walk for 30minute in gym class how far can you walk

What is the (magnitude of the) centripetal acceleration (as a multiple of g=9.8~\mathrm{m/s^2}g=9.8 m/s 2 ) towards the Eart

Wittaler [7]

Answer:

The centripetal acceleration as a multiple of $g=9.8 m/s^{2}$ is $1.020x10^{-3}m/s^{2}$

Explanation:

The centripetal acceleration is defined as:

$a = \frac{v^{2}}{r}$ (1)

Where v is the velocity and r is the radius

Since the person is standing in the Earth surfaces, their velocity will be the same of the Earth. That one can be determined by means of the orbital velocity:

$v = \frac{2 \pi r}{T}$ (2)

Where r is the radius and T is the period.

For this case the person is standing at a latitude $71.9^{\circ}$ . Remember that the latitude is given from the equator. The configuration of this system is shown in the image below.

It is necessary to use the radius at the latitude given. That radius can be found by means of trigonometric.

$\cos \theta = \frac{adjacent}{hypotenuse}$

$\cos \theta = \frac{r_{71.9^{\circ}}}{r_{e}}$ (3)

Where $r_{71.9^{\circ}}$ is the radius at the latitude of $71.9^{\circ}$ and $r_{e}$ is the radius at the equator ( $6.37x10^{6}m$ ).

$r_{71.9^{\circ}}$ can be isolated from equation 3:

$r_{71.9^{\circ}} = r_{e} \cos \theta$ (4)

$r_{71.9^{\circ}} = (6.37x10^{6}m) \cos (71.9^{\circ})$

$r_{71.9^{\circ}} = 1.97x10^{6} m$

Then, equation 2 can be used

$v = \frac{2 \pi (1.97x10^{6} m)}{24h}$

Notice that the period is the time that the Earth takes to give a complete revolution (24 hours), this period will be expressed in seconds for a better representation of the velocity.

$T = 24h . \frac{3600s}{1h}$ ⇒ $84600s$

$v = \frac{2 \pi (1.97x10^{6} m)}{84600s}$

$v = 146.31m/s$

Finally, equation 1 can be used:

$a = \frac{(146.31m/s)^{2}}{(1.97x10^{6}m)}$

$a = 0.010m/s^{2}$

Hence, the centripetal acceleration is $0.010m/s^{2}$

To given the centripetal acceleration as a multiple of $g=9.8 m/s^{2}$ it is gotten:

$\frac{0.010m/s^{2}}{9.8 m/s^{2}} = 1.020x10^{-3}m/s^{2}$

6 0

3 years ago

The mass of an electron is _______. What is it?

SOVA2 [1]

If a mass of a neutron is 1 the electron mass is 0.00054386734 and it's charge is negative. Hope this helps! ;)

5 0

3 years ago

a force of 20 n is directed at an angle of 609 above the x-avis. a second force of 20 n is directed at an angle of 60 below the

rosijanka [135]

20 N , in +x direction is the vector sum of these Toro forces.

<h3>What is force?</h3>

The word "force" has a specific meaning in science.
At this level, calling a force a push or a pull is entirely appropriate.
A force is not something an object "has in it" or that it "contains."
One thing experiences a force from another.
There are both living things and non-living objects in the concept of a force.
Force is used to describe a body's tendency to modify or change its state as a result of an external cause.
When force is applied, the body can also alter its size, shape, and direction. kicking a ball, pushing and pulling on the door, or kneading dough are a few examples.
The newton, abbreviated N, is the SI unit of force.

To learn more about forces from the given link :

brainly.com/question/28021338

#SPJ4

7 0

2 years ago

- An impulse is equivalent to

Alik [6]

Answer:

c

Explanation:

impulse Is the product of force and distance so it's generally formula

5 0

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Two carts were initially at rest and side-by-side between two photogates. The mass of cart 1 was 0.505 kg. A spring was activate

jeka94

Approximately 67.56 is the answer in mass

8 0

4 years ago