Answer:
4 s
Explanation:
u = 19.6 m/s, g = 9.8 m /s^2
Let the time taken to reach the maximum height is t.
Use first equation of motion.
v = u + at
At maximum height, final velocity v is zero.
0 = 19.6 - 9.8 x t
t = 19.6 / 9.8 = 2 s
As the air resistance be negligible, is time taken to reach the ground is also 2 sec.
So, total time taken be the ball to reach at original point = 2 + 2 = 4 s
You would multiply the speed by the time. So the answer would be 840 miles.
To solve this problem it is necessary to apply the concepts related to gravity as an expression of a celestial body, as well as the use of concepts such as centripetal acceleration, angular velocity and period.
PART A) The expression to find the acceleration of the earth due to the gravity of another celestial body as the Moon is given by the equation
![g = \frac{GM}{(d-R_{CM})^2}](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7BGM%7D%7B%28d-R_%7BCM%7D%29%5E2%7D)
Where,
G = Gravitational Universal Constant
d = Distance
M = Mass
Radius earth center of mass
PART B) Using the same expression previously defined we can find the acceleration of the moon on the earth like this,
![g = \frac{GM}{(d-R_{CM})^2}](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7BGM%7D%7B%28d-R_%7BCM%7D%29%5E2%7D)
![g = \frac{(6.67*10^{-11})(7.35*10^{22})}{(3.84*10^8-4700*10^3)^2}](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B%286.67%2A10%5E%7B-11%7D%29%287.35%2A10%5E%7B22%7D%29%7D%7B%283.84%2A10%5E8-4700%2A10%5E3%29%5E2%7D)
![g = 3.4*10^{-5}m/s^2](https://tex.z-dn.net/?f=g%20%3D%203.4%2A10%5E%7B-5%7Dm%2Fs%5E2)
PART C) Centripetal acceleration can be found throughout the period and angular velocity, that is
![\omega = \frac{2\pi}{T}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B2%5Cpi%7D%7BT%7D)
At the same time we have that centripetal acceleration is given as
![a_c = \omega^2 r](https://tex.z-dn.net/?f=a_c%20%3D%20%5Comega%5E2%20r)
Replacing
![a_c = (\frac{2\pi}{T})^2 r](https://tex.z-dn.net/?f=a_c%20%3D%20%28%5Cfrac%7B2%5Cpi%7D%7BT%7D%29%5E2%20r)
![a_c = (\frac{2\pi}{26.3d(\frac{86400s}{1days})})^2 (4700*10^3m)](https://tex.z-dn.net/?f=a_c%20%3D%20%28%5Cfrac%7B2%5Cpi%7D%7B26.3d%28%5Cfrac%7B86400s%7D%7B1days%7D%29%7D%29%5E2%20%284700%2A10%5E3m%29)
![a_c = 3.34*10^{-5}m/s^2](https://tex.z-dn.net/?f=a_c%20%3D%203.34%2A10%5E%7B-5%7Dm%2Fs%5E2)
Answer:
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Explanation:
Answer:
A jet plane flying straight and at level at constant speed
Explanation:
The<em> inertial frame </em>of reference is a frame of reference in which all <em>Newton law is valid</em> ie Newton second law of motion and therefore newton first law of motion holds good. <em>The frame of reference does not accelerate.</em>
All the object that is in the frame of reference are at rest or moving with constant rectilinear motion with constant velocity unless acted upon by any force.