Answer:
6862.96871 seconds
Explanation:
M = Mass of Planet
G = Gravitational constant
r = Radius
= Density
T = Rotation period
In this system the gravitational force will balance the centripetal force

.


Hence, proved

The rotation period of the astronomical object is 6862.96871 seconds
<em>The correct option is</em> D. The initial momentum of the blue and green train combined during the collision is 200 kgm/s.
<h3>
Initial momentum of the blue and green train</h3>
Apply the principle of conservation of linear momentum as follows;
Pi = m1v1 + m2v2
where;
- m1 is mass of blue train
- m2 is mass of green train
- v1 is velocity of blue train
- v2 is velocity green train
- Pi is the initial momentum of the two trains
Pi = (50 x 4) + 30(0)
Pi = 200 kgm/s
Thus, the initial momentum of the blue and green train combined is 200 kgm/s.
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An electromagnet is a made coil associated with a ferromagnetic core. ... When an electric current flows through the wire the solenoid generates a magnetic field similar to that of a bar magnet. An electromagnet is a solenoid wound around a central iron core.
Electromagnetism is a process through which a material is magnetized (temporarily or permanently) by Electric current. ... This is Electromagnetism.
Answer:
Part a)

Part b)

Part c)

Part d)

Explanation:
Part a)
For hanger we know that it will have tension force upwards while it has downwards its weight so we will have

so we have

Part b)
now for car that is rolling on the floor the net force is given as



Part c)
now we know that the cart and the hanger both are connected to each other
so they must have same acceleration
so we will have



Part d)
now we know that
M = 2.40 kg
m = 0.50 kg
so we will have


(a) The time the baseball spends in the air is 0.92 s.
(b) The horizontal distance from the roof edge to the point where the baseball lands on the ground is 3.1 m.
<h3>
Time spent in air by the baseball</h3>
h = vt - ¹/₂gt²
-2.1 = (4.05 x sin 34)t - ¹/₂(9.8)(t²)
-2.1 = 2.26t - 4.9t²
4.9t² - 2.26t - 2.1 = 0
t = 0.92 s
<h3>Horizontal distance traveled by the baseball</h3>
R = Vx(t)
R = (4.05 x cos 34)(0.92)
R = 3.1 m
Thus, the time the baseball spends in the air is 0.92 s.
The horizontal distance from the roof edge to the point where the baseball lands on the ground is 3.1 m.
Learn more about horizontal distance here: brainly.com/question/24784992
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