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
Describe an echo. What is the minimum distance needed to form an echo. Write its application.
It has large energy gap 3.0ev and is regarded as high temperature semiconductor. It is extremely refectory subliming in the region of 2800 0 C. Because of large band gap it is hope
What is Gas Laws? Kinetic theory states that the speed of motion of the molecules in a substance decreases as the substance's temperature decreases. As well, the speed of motio
Uses of Radio Isotopes: Industries: 1. Radio active isotopes are used to detect leakage in pipes. 2. It estimates weak and tear machine tools. 3. It is used to check t
Who first theoretically predicted the existence of the positron, a positively charged electron? He received the Nobel Prize in Physics in 1933. Ans: (Paul Adrien M
write the transformer assignment
what are the subtopics of electric dipole with detail explain
valu of g above and below the surface of earth
The following three impedances are connected in series across a 40V, 20kHz supply: (i) a resistance of 8, (ii) a coil of inductance 130µHand5 resistance, and (iii) a 10 r
A longitudinal wave with a frequency of 34 Hz takes 1.0 s to travel the length of a 2.5 m Slinky (see the figure). Determine the wavelength of the wave. λ = ( )m
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