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Question1
Reduce equations of motion to an equivalent one-dimensional problem and discuss qualitative nature of the orbit for different values of the energy. For bound orbits, show that the particle takes a nite length of time to spiral into the center of force, passing through a nite number of revolutions.
Question2
Consider two conducting spheres with radii R1 and R2 separated by a distance much greater than either radius. A total charge Q is shared between the spheres. We wish to show that when the electric potential energy of the system has a least value, potential difference between the spheres is zero. The total charge Q is equal to q1 + q2, where q1 represents the charge on the first sphere and q2 the charge on the second. While the spheres are very far apart, you can assume charge of each is uniformly distributed over its surface.
A 4kg mass rests on a tabletop and is attached to a spring with the spring constant 100N/m. find the equation of motion for the oscillator
An object weighing 100N is traveling vertically upward from the ground in the absence of air resistance at a constant velocity of 5m/s
An inexperience novice pilot was taking his brand new Cessna Skyhawk-172R plane for a trip from Tallahassee to Atlanta, which is 375 km due north. What is the speed of the plane in still air
What is the length of a box in which the minimum energy of an electron is 1.1 x 10^-18J
River Pascal with a volume flow rate of 3.3×10^5 joins with River Archimedes, that carries 1.09×106 , to form the Bernoulli River. The Bernoulli River is 120 wide and 20 deep.
A 800kg , light-weight helicopter ascends from the ground with an acceleration of 3.50m/s2. What is the work done by the gravitational force
When jumping, a flea reaches a takeoff speed of 1.0m/s over a distance of 0.48mm. how high would he go
Vector A, which is directed along an x axis, is to be added to vector Bvec , which has a magnitude of 3.0 m, with a magnitude that is 5 times that of A, What is the magnitude of A
It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. Find out the angular speed of the wheel at t = 2.30 s.
a blue cart (mass=0.400kg) makes an elastic collision with a red cart (mass=0.750kg), How much kinetic energy is lost in the collision
The centers of a 7.0kg lead ball and a 140g lead ball are separated by 13cm. What gravitational force does each exert on the other
An apartment has a living room whose dimensions are 2.8 m x 5.1 m x 5.6 m. what is the mass (in grams) of the air
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