Answer: 50π m ≈ 157 m
Explanation:
100 rev/min (2π rad/rev) / (60 sec/min) = 3⅓π rad/s
d = ωrt = 3⅓π(0.50)(30) = 50π m ≈ 157 m
The law of universal gravitation says that one object attracts every other object using a proportional force to the mass of the object.
Answer:
50.2 m
Explanation:
We can solve the problem by using the following SUVAT equation for the vertical position of the rock:

where
h is the initial height (the depth of the canyon), taking the bottom of the canyon as reference position
u = 0 is the initial velocity of the rock
t is the time
is the acceleration of gravity
When the rock reaches the bottom, t = 3.2 s and y = 0. Substituting these numbers and solving for h, we find the depth of the canyon:

Answer:
The speed of the cyclist is 2.75 km/min.
Explanation:
Given
To determine
We need to find the speed of a cyclist.
In order to determine the speed of a cyclist, all we need to do is to divide the distance covered by a cyclist by the time taken to cover the distance.
Using the formula involving speed, time, and distance

where
substitute d = 88, and t = 32 in the formula


Cancel the common factor 8

km/min
Therefore, the speed of the cyclist is 2.75 km/min.
Answer:
Yes the color changes. If the star is moving away from the earth the color of the star is shifted towards red (red-shift).
This is similar to the change in sound from an approaching train whistle (higher pitch) or a receding train whistle (lower pitch) - the Doppler Effect.
Note that the equations for the Doppler Effect for sound and for light are different - sound travels thru air but no such medium can be identified for light.