A piano tuner stretches a steel piano wire with a tension of 800 N. The steel wire is 0.400 m long and has a mass of 3.00 g. Wha
1 answer:
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Answer:
The orbital speed of Dactyl is
Explanation:
The orbital speed can be determined by the combination of the universal law of gravity and Newton's second law:
(1)
Where G is gravitational constant, M is the mass of the asteroid, m is the mass of the moon and r is the distance between them
In the other hand, Newton's second law can be defined as:
(2)
Where m is the mass and a is the acceleration
Then, equation 2 can be replaced in equation 1
(2)
However, a will be the centripetal acceleration since the moon Dactyl describe a circular motion around the asteroid
(3)
(4)
Therefore, v can be isolated from equation 4:
(5)
Finally, the orbital speed can be found from equation 5:
Notice, that it is necessary to express r in units of meters.
⇒
Hence, the orbital speed of Dactyl is
Answer:
The distance traveled by the balloon is 10.77 m
Explanation:
velocity of the ball, = 2 m/s south
velocity of the air, = 5 m/s west
To determine the distance the balloon will travel after 2 seconds, first determine the resultant velocity of the balloon.
| 2m/s
|
|
↓
5m/s ←------------------
the two velocities forms a right angled triangle and the resultant will be the hypotenuses side of the triangle.
R² = 5² + 2²
R² = 29
R = √29
R = 5.385 m/s
The distance traveled by the balloon is calculated as;
d = R x t
where;
t is time of the motion = 2 seconds
d = 5.385 x 2
d = 10.77 m
Therefore, the distance traveled by the balloon is 10.77 m.