The direction of the centripetal acceleration is towards Saturn
Explanation:
When an object moves in a circular motion, there must be a force that "pulls" the object towards the centre of the circle, keeping it in a circular motion. This force is called centripetal force.
As a consequence, due to the relationship between force and acceleration (Newton's second law), there is also an acceleration that points towards the centre: this acceleration is called centripetal acceleration.
The magnitude of the centripetal acceleration is given by:
where
m is the mass of the object
v is its speed
r is the radius of the circle
Therefore in this situation, the centripetal acceleration points towards the centre of the circle: therefore, towards Saturn, which occupies the centre of the circular trajectory.
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Answer:
1. λ = 0.48 cm = 4800 μm
2. υ = 6.25 x 10¹⁰ Hz
3. E = 4.14 x 10⁻²³ J
Explanation:
1.
Since, the wavelength is defined as the distance between two consecutive or successive crests or troughs. Therefore, in this case the wavelength will be equal to:
Wavelength = λ = Distance between 5 successive crests/5
λ = 2.4 cm/5
<u>λ = 0.48 cm = 4800 μm</u>
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2.
The frequency of photon can be given as:
υ = c/λ
where,
υ = frequency of photon = ?
c = speed of light = 3 x 10⁸ m/s
λ = wavelength = 0.48 cm = 0.0048 m
Therefore,
υ = (3 x 10⁸ m/s)/(0.0048 m)
<u>υ = 6.25 x 10¹⁰ Hz</u>
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3.
Now, the energy of photon is given as:
E = hυ
where,
E = Energy = ?
h = Plank's Constant = 6.626 x 10⁻³⁴ J.s
Therefore,
E = (6.626 x 10⁻³⁴ J.s)(6.25 x 10¹⁰ Hz)
<u>E = 4.14 x 10⁻²³ J</u>
Answer:
69 revolutions
Explanation:
given,
initial angular velocity = 0
final angular velocity = 6 rev/s
when safety switch turned off
tub smoothly slows to rest in (t)= 13 s
total revolution of tub = ?
angular acceleration =
angular acceleration =
= 0.6 rev/s²
now,
= 30 revolution
now,
when safety switch turn off
angular acceleration =
angular acceleration =
= -0.462 rev/s²
now,
= 39 revolution
total revolution = 30 + 39 = 69 revolutions.
tub will rotate 69 revolutions
The answer that you are looking for is D.
Answer:
f = 1.96 revolutions per minute
Explanation:
The formula for the the frequency of revolution of a satellite, to develop an artificial gravity, with the help of centripetal acceleration is given as follows:
f = (1/2π)√(ac/r)
where,
f = frequency of rotation = ?
ac = centripetal acceleration= apparent gravity or artificial gravity = 2.2 m/s²
r = radius of station or satellite = diameter/2 = 104 m/2 = 52 m
Therefore,
f = (1/2π)√[(2.2 m/s²)/(52 m)]
f = (0.032 rev/s)(60 s/min)
<u>f = 1.96 revolutions per minute</u>