Calculate the following centripetal accelerations as fractions or multiples of g and comment on the results:...

Calculate the following centripetal accelerations as fractions or multiples of g and comment on the results: (a) The acceleration to- wards the Earth’s axis of an object resting on the Earth’s surface at 45◦ latitude. The Earth’s radius is 6378 km. (b) The acceleration of the Moon towards the Earth. The radius of the Moon’s orbit is 384399 km and its period is 27.3 days. (c) The acceleration of an electron moving around a proton at a speed of 0.007c where c is the speed of light in an orbit of radius 0.05 nm (the first Bohr orbit of the H atom)

Solutions

Expert Solution

a) Distance of the object from the center of earth is

(R is radius of earth)

Time period of object is the time period of earth for one rotation,

Orbital velocity of object is

Acceleration of object is

Acceleration of object towards earth is

---------------------------------------

Orbital velocity of moon is

Acceleration of moon is

Acceleration of moon towards earth is

---------------------------

Orbital velocity of electron is

Acceleration of electron is

Accleration of electron around a proton is

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genius_generous answered 1 year ago

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