Answer:
7500 m/s
Explanation:
Centripetal acceleration = gravity
v² / r = GM / r²
v = √(GM / r)
Given:
G = 6.67×10⁻¹¹ m³/kg/s²
M = 5.98×10²⁴ kg
r = 6.8×10⁵ + 6.357×10⁶ = 7.037×10⁶ m
v = √(6.67×10⁻¹¹ (5.98×10²⁴) / (7.037×10⁶))
v = 7500
The orbital velocity is 7500 m/s.
Answer:
The frequency is 
Explanation:
From the question we are told that
The third harmonic frequency of the tight guitar string is 
Let the original length be L
Then the length at which it is fingered is 0.7 L
Generally the fundamental is mathematically represented as

Now when it finger at 70% it original length is


Here v the velocity of sound
So

Also the fundamental frequency for the original length can also be represented as

substituting values


So

=> 
=> 
The acceleration of the ball in the vertical direction is
, downward.
Explanation:
This is a typical example of projectile motion, which consists of two independent motions:
- A uniform horizontal motion at constant velocity (since there are no forces in the horizontal direction)
- A vertical accelerated motion at constant acceleration (due to the presence of the force of gravity)
We are considering now the vertical motion only. There is only one force acting on the ball in this direction: the force of gravity, of magnitude
F = mg
where m is the mass of the ball and
the acceleration due to gravity, downward. This means that the acceleration of the ball in this direction is (using Newton's second law)

Therefore, the acceleration of the ball in the vertical direction is
, downward.
Learn more about projectile motion:
brainly.com/question/8751410
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