Answer:
4.7 x 10³ rad / s
Explanation:
During the time light goes and comes back , one slot is replaced by next slot while rotating before the light source
Time taken by light to travel a distance of 2 x 500 m is
= (2 x 500) / 3 x 10⁸
= 3.333 x 10⁻⁶ s .
In this time period, two consecutive slots come before the source of light one after another by rotation. There are 400 slots so time taken to make one rotation
= 3.333 x 10⁻⁶ x 400
= 13.33 x 10⁻⁴ s
This is the time period so
T = 13.33 X 10⁻⁴
Angular speed
= 2π / T
= 
4.7 x 10³ rad / s
We use a spectrometer to help us determine what stars and planets are made of by passing a light through various chemical elements, different spectral patterns are created. By matching those patterns up to patterns generated in a laboratory environment we can tell what the composition of a distant star or planet is.
Answer:
V = 156.85 Km/h
Explanation:
Speed of plane = 125 Km/h
angle of plane= 25° N of E
Speed of wind = 36 Km/h
angle of plane = 6° S of W
Horizontal component of the velocity
V_x = 125 cos 25° + 36 cos 6°
V_x = 149 Km/h
Vertical component of the velocity
V_y = 125 sin 25° - 36 sin 6°
V_y = 49 Km/h
Resultant of Velocity


V = 156.85 Km/h
the resulting velocity of the plane is equal to V = 156.85 Km/h
At the end of 4.0 s the velocity of the rock is 39.24 m/s and its displacement from the point where it was dropped is 78.48 m.
The rock dropped from the guard rail is a freely falling body and is accelerated downwards under acceleration due to gravity.
To calculate the velocity after t=4.0 s, use the equation of motion,

Here, <em>u </em>is the rock's initial velocity, which is zero. It falls under acceleration due to gravity, hence a =g=9.81 m/s².
Therefore,

If it falls through a distance <em>s, </em>then, use the equation,

Therefore,

Thus, after 4.0 s, the rock has a downward velocity of 39.24 m/s and it would have traveled a distance of 78.48m.
Answer:
Vf = Vi + a t fundamental equation
-60 m/s= Vi - 9.8 m/s^2 * 6 sec taking upward direction as positive
Vi =58.8 m/s - 60 m/s = -1.2 m/s so the coin was initially thrown downward
As a check take the downward direction as positive
Vf = 1.2 m/s + 58.8 m/s = 60 m/s