A rock of mass m = 214 g is thrown upwards with a velocity such that it has a kinetic energy of K = 3.09 × 10' J. (a) Neglecting the effects of air resistance, what is the maximum height to which the rock will rise above the point from which it was released? H =

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
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A rock of mass m = 214 g is thrown upwards with a velocity such that it has a kinetic energy of K = 3.09 × 10' J.
(a) Neglecting the effects of air resistance, what is the maximum height to which the rock will rise above the point from which it was
released?
= H
(b) If the rock was thrown upwards at the edge of a cliff, such that it was then free to fall below the cliff when it returned to the height
from which it was originally thrown, how tall must the cliff be for its speed, when it hits the ground below the cliff, to be twice what it was
when it was thrown upwards?
Hcliff =
Note: units are m, were originally written as m/s
Transcribed Image Text:A rock of mass m = 214 g is thrown upwards with a velocity such that it has a kinetic energy of K = 3.09 × 10' J. (a) Neglecting the effects of air resistance, what is the maximum height to which the rock will rise above the point from which it was released? = H (b) If the rock was thrown upwards at the edge of a cliff, such that it was then free to fall below the cliff when it returned to the height from which it was originally thrown, how tall must the cliff be for its speed, when it hits the ground below the cliff, to be twice what it was when it was thrown upwards? Hcliff = Note: units are m, were originally written as m/s
Part 3)
A satellite of mass M = 1510 kg has a circular orbit around the equator of the Earth at a height of h = 642 km. (mass of the Earth is
5.972 x 1024 kg. Radius of Earth is 6.371 × 10° m).
(a) What is the satellite's orbital velocity?
U =
m/s
(b) How long will there be between passes of the satellite overhead for a given location on the equator per day? (You may neglect the
rotation of the Earth for the purposes of doing this calculation).
orbital period
hours
Transcribed Image Text:Part 3) A satellite of mass M = 1510 kg has a circular orbit around the equator of the Earth at a height of h = 642 km. (mass of the Earth is 5.972 x 1024 kg. Radius of Earth is 6.371 × 10° m). (a) What is the satellite's orbital velocity? U = m/s (b) How long will there be between passes of the satellite overhead for a given location on the equator per day? (You may neglect the rotation of the Earth for the purposes of doing this calculation). orbital period hours
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