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
Working of terrestrial telescope
how much force is necessary to stop the car when steps on a brake a 1000-kg car travelling at 65 km/h if the braking distance is 35 m?
Platinum: Atomic number 78 Symbol p t Atomic weight 195.09 Discovery Olloa 1735
how much time is required to raise the temperature of the water from A family comes home from a long vacation with laundry to-do and showers to take. The water heater has been t
terrestrial telescope
How is magnification in scanning electron microscope controlled? Magnification in scanning electron microscope: Magnification into a SEM (scanning electron microscope) can b
i want to write my assignment based on mutual induction between two coils.please help!
is it possible for an element to have different types of atoms/Explain/
Bohr magneton (N. Bohr) It is the quantum of magnetic moment. Bohr radius (N. Bohr) It is the distance corresponding to the mean distance of an electron through the nuc
does sodium sulfate contain both ionic and covalent bonds
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