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
In a young's double slit experiment a point on the screen is similar distance from both the slits if any one of the slit is closed the intensity at P due to the other slit is 0.02
1. Particle travels in straight line and the motion is periodic 2. The acceleration of particle is always proportional to the displacement from the equilibrium position and alwa
When a moving body changes with time,then we say that the body has acceleration.simentaniously the change in velocity is equal then it is called uniform acceleration .
What is induction?
When a plane is in flight, the entire weight of the aircraft is essentially supported by the wings. To help you with this problem, it will be best if you visualize holding a model
what causes change in motion? what laws govern motion? how do objects move in one dimension? how do objects move in two dimension?
How many pounds does one gallon of water weigh One wine calculates or US gallon of water weighs 8.34 pounds. An Imperial Gallon is ten pounds of water at 62F and 30 inches of
A pendulum which is suspended from the ceiling of a railroad car is observed to hang at an angle of 10 degrees to the right of vertical. Which of the following answers could expla
What is Equatorial and polar diameter? The equatorial diameter. The equatorial diameter of the earth is 7920 miles in length and polar diameter is about 27 miles shorter than the
How are appliances we use in the domestic circuit interlinked? What are the benefits of this connection?
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