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A model of Earth's interior: Look up the radius and mass of the Earth.
Radius is 6,371 km
Mass is 5.974 x 10^24 kg
Calculate its average density.
p_e = (5.974 x 10^24 kg)/ (4/3)pi r^3 = (5.974 x 10^24 kg)/ (4/3)pi (6371)^3 = 5.54 g/cm^3
Imagine a planet of the same radius made completely and uniformly out of an incompressible fluid such that its mass density is equal to the average density of the Earth.
Find how the acceleration of gravity depends on the distance from the center of the planet. Sketch a graph showing this dependence.
I know the dependence would be a straight line but i'm not sure how to prove in mathematically
Now, use the equation of hydrostatic equilibrium to find the pressure as a function of distance from the center. What is the pressure at the center of the planet?
Blue laser pointers are now available. If the blue laser emits 5 mW of light at 473 nm, how many photons per second is it emitting
Heather and Jerry are standing on a bridge 60m above a river. How much time elapses between the first splash and the second splash
a 180 kg horizontal beam is supported at each end. a 295 kg piano rests a quarter of the way from one end. what is the
A sinusoidal electromagnetic wave emitted by a cellular phone has a wavelength of 34.0cm and an electric-field amplitude of 4.30×10?2v/m at a distance of 200m from the antenna. Calculate the magnetic-field amplitude
The figure below gives the potential energy U of a magnetic dipole in an external magnetic field , as a function of angle between the directions of and the dipole moment. The vertical axis scale is set by Us = 2.0 10-4 J. The dipole can be rotated..
With the assumption that the air temperature is a uniform 0.0 , what is the density of the air at an altitude of 4.00 as a percentage of the density at the surface
a given motorcycle has a mass of 235 kg. when driven in a circular pah with a radius of 25.0 m the centripetal force
A butterfly at eye level is 26 cm in front of a plane mirror. You are behind the butterfly, 48 cm from the mirror. What is the distance between your eye and the image of butterfly in the mirror.
A 48 kg woman cheats on her diet and eats a 507 Calorie (507 kcal) jelly donut for breakfast, How many joules of energy are the equivalent of one jelly doughnut
A wave with a frequency of 230Hz and a wavelength of 12.9cm is traveling along a cord. The maximum speed of particles on the cord is the same as the wave speed. What is the amplidute of the wave?
A typical ten-pound car wheel has a moment of inertia of about 0.35 kg(m^2). What is the rotational kinetic energy of the rotating wheel
a what is the electric potential energy in joules of two electrons separated by 1.98 nm? b what would be it be if the
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