Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Q. Tunnels through the Earth
Assume a straight tunnel is cut from the surface of the earth to the opposite side through the centre.
The object is going down the tunnel and assuming that air friction is negligible we wish to determine the time it takes for the object to return to its starting point.
The only force acting on the object is gravitational. From previous problems we know that only that portion of the earth's mass contained in the sphere with radius equal to the object's height above the centre will contribute.
Let.
σ =M/V
And.
V =4/3π R3
Where M is the mass of the earth and V is the volume. Be the mass density of the earth. Pretentious uniform density at any radius from the center
σ =Mr/Vr.
The foremost equation for an object at any distance r from the center is
The force, F is
F = mar =4/3πGσmr.
However this corresponds to the differential equation
d2r/dt2- k r = 0
Whose solution is the same as that of an object subject to a spring force without friction, which is simple harmonic motion the period is given by
At the surface a gravitational force is the weight of the object
Thus
g/R=4/3π σG,
so
what is the wavelength of a candle flame
Indicate all that is incorrect about the statement The magnetic field lines of a stationary bar magnet move from the north pole of the bar magnet to the south pole of the bar magne
The physical value which does not depend on any other physical quantity is known as a fundamental physical quantity like length; mass and time are known as fundamental units.
The signal which shows the continuous variation of voltage with time is called as analog voltage signal
State and illustrate Lenz's law with examples Derive a mathematical expression for a force between two parallel conductors carrying a current.
what is the substance produced in the liver that acts in the small intestine during digestion?
sir in books like hc verma i have seen if centre of mass remains at rest... then mx = mX...how?
please explain projectile motion
An ostrich can run at speeds of up to 72km/h. Suppose an ostrich runs 1.5km at the speed of 58 km/h and then runs another 1.5km at the speed of 29km/h. What is the ostrich average
how to reduce friction?
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd