Question: You have an apple tree that produces high-quality apples in large numbers. The tree is also resistant to a number of h
2 answers:
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1) 0.0011 rad/s
2) 7667 m/s
Explanation:
1)
The angular velocity of an object in circular motion is equal to the rate of change of its angular position. Mathematically:
where
is the angular displacement of the object
t is the time elapsed
is the angular velocity
In this problem, the Hubble telescope completes an entire orbit in 95 minutes. The angle covered in one entire orbit is
rad
And the time taken is
Therefore, the angular velocity of the telescope is
2)
For an object in circular motion, the relationship between angular velocity and linear velocity is given by the equation
where
v is the linear velocity
is the angular velocity
r is the radius of the circular orbit
In this problem:
is the angular velocity of the Hubble telescope
The telescope is at an altitude of
h = 600 km
over the Earth's surface, which has a radius of
R = 6370 km
So the actual radius of the Hubble's orbit is
Therefore, the linear velocity of the telescope is:
Answer:
The tension on the string is
Explanation:
From the question we are told that
The mass of the rock is
The density of the rock is
Generally the volume of the rock is mathematically evaluated as
substituting values
The volume of the rock immersed in water is
substituting values
mass of water been displaced by the this volume is
According to Archimedes principle
=>
The weight of the water displace is
The actual weight of the rock is
The tension on the string is
substituting values
Linear momentum is the product of mass and velocity. In this case, it is simply:
