Answer:

Explanation:
initially the merry go round is at rest
after 6.73 s the merry go round will accelerates to 20 rpm
so final angular speed is given as



so final tangential speed is given as


now average acceleration of the girl is given as



This question involves the concepts of the time period, orbital radius, and gravitational constant.
The distance of the satellite above the Earth's Surface is "10400 km ".
The theoretical time period of the satellite around the earth can be found using the following formula:
where,
T = Time Period of Satellite =
R = Orbital Radius = ?
G = Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
M = Mass of Earth = 5.97 x 10²⁴ kg
Therefore,
![\frac{(21600\ s)^2}{R^3}=\frac{4\pi^2}{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(5.97\ x\ 10^{24}\ kg)}\\\\R = \sqrt[3]{\frac{4.66\ x\ 10^8\ s^2}{9.91\ x\ 10^{-14}\ s^2/m^3}} \\R = 1.675\ x\ 10^7\ m = 1.68\ x\ 10^4\ km](https://tex.z-dn.net/?f=%5Cfrac%7B%2821600%5C%20s%29%5E2%7D%7BR%5E3%7D%3D%5Cfrac%7B4%5Cpi%5E2%7D%7B%286.67%5C%20x%5C%2010%5E%7B-11%7D%5C%20N.m%5E2%2Fkg%5E2%29%285.97%5C%20x%5C%2010%5E%7B24%7D%5C%20kg%29%7D%5C%5C%5C%5CR%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B4.66%5C%20x%5C%2010%5E8%5C%20s%5E2%7D%7B9.91%5C%20x%5C%2010%5E%7B-14%7D%5C%20s%5E2%2Fm%5E3%7D%7D%20%5C%5CR%20%3D%201.675%5C%20x%5C%2010%5E7%5C%20m%20%3D%201.68%5C%20x%5C%2010%5E4%5C%20km)
Now, this orbital radius is the sum of the radius of the earth (r) and the distance of satellite above earth's (h) surface:
R = r + h
1.68 x 10⁴ km = 0.64 x 10⁴ km + h
h = 1.68 x 10⁴ km - 0.64 x 10⁴ km
<u>h = 1.04 x 10⁴ km = 10400 km</u>
Learn more about the orbital time period here:
brainly.com/question/14494804?referrer=searchResults
The attached picture shows the derivation of the formula for orbital speed.
Answer:
2.73 km/s
Explanation:
The escape velocity of an object in the gravitational field of the moon is (on the surface of the planet)

where
is the gravitational constant
is the mass of the Moon
is the radius of the Moon
As we can see, the escape velocity does not depend on the mass of the lunar module.
Substituting the numbers into the formula, we find

The time taken, and the distance travelled by the car before stop, will be 5.3 second and -53.3 m west.
<h3>What is the distance?</h3>
The length of the path traveled by the body is known as the distance covered by the body.
Distance is a 1-dimensional phenomenon. its unit is a meter(m). The distance can be found by the product of velocity and time.
The given data in the problem will be
u is the initial velocity =20m/sec
t is the time =?
d is the distance =?
From the Newtons second law;

The distance travelled before the car stop is,

Hence,the time taken, and the distance travelled by the car before stop, will be 5.3 second and -53.3 m west.
To learn more about the distance, refer to the link;
brainly.com/question/989117
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Answer:
When the platform rotates, the rotating mass will travel in a circular path due to the force exerted on it by the string (by way of the tension in the spring). Since it is not possible to have an instantaneous readout of this tension force while the platform is rotating, an indirect measurement of this force will be made using the weight of the static mass as shown and explained below.