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
A certain spring is known to obey Hooke's Law. If a force of 10 newtons stretches the spring 2 meters, how far will a 30 newton force stretch the spring? Ans: A certain spr
why the reflective index of cladding is lower then in core of a fiber optic?
if CPH has mass, so CPH Theory is able explain the universe future. Universe should collapse. And it is able explain dark matter too. Am I wrong? Answer; you are correct that C
Describe the internals of a light-emitting diode (LEO). Describe what happens internally when sufficient current is applied to activate LED. What isthe device pictured? Wh
how temperature increases w.r.t. voltage and current for same wire
GIve live examples for like and unlike parallel forces
distinguish feature of litearay writing
Determine voltage gain for the circuit shown in figure below, with R F = 100K ? and R 1 =10 K? Ans. Determination of voltage gain: The provided operational
State Gauss divergence theorem in vector calculus?
The dimentional formula of plank;s constant ML 2 T -1
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