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
An unknown tuning fork is sounded along w/ a tuning fork whose frequency is 256Hz and a beat frequency of 3 Hz is heard. What i the frequency of the unknown tuning fork?
define pseudo force and mathematical expression and explanation
dawda
The potential difference across a 4 ohm resistor is 20 volts. Suppose that all of the energy dissipated by this resistor is in the form of heat, how many joules of heat are ra
Can instantaneous velocity answer instantaneous speed be equal in uniform motion
When a system returns back to its initial state after passing by dissimilar phase, the phenomena is said to be a cyclic process. In this process as ΔU = 0. From first law of the
Q The refractive index of a medium is √3. Compute the angle of refraction if the un-polarised light is incident on it at the polarizing angle of the medium. μ = tan i p = √3
O rdinary glass is a good insulator but is too brittle to be used for anything but scientific instrument part s, accumulator container and for certain other special purposes. It is
And then did he sit up.IS THIS A SENTENCE OR A QUESTION
the numerical ratio of displacement to the distance covered is always ???????????????
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