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Question1
A neutron star has a mass of 2.0 1030 kg (about mass of our sun) and a radius of 5.4 103 m (about the height of a good-sized mountain). Assume an object falls from rest near the surface of such a star. How fast would it be moving behind it had fallen a distance of 0.016 m? (Suppose that the gravitational force is constant over the distance of the fall, and that the star is not rotating.)
Question2
The pendulum of a grandfather clock consists of a thin rod of length L (and negligible mass) attached at its upper end to a fixed point, and attached at its lower end to a point on edge of a uniform disk of radius R, mass M, and negligible thickness. The disk is free to rotate about the point of attachment. Suppose all motion is constrained to a single vertical plane near Earth's surface. Neglect friction and air resistance, as well as the rotation of earth.
What is Lagrangian for this system?
Assume that the balloon rises slowly so that the temperature inside is the same as outside. Illustrate what will happen if the balloon is made up of rigid material?
In the "World's Strongest Man" competition, one event is to pull a 2370 kg truck for 5 m. What is the least amount of force
Two point charges, q1 = 2.0 pC and q2 = -2.0 pC, are separated by 5.6 µm. 1) What is the dipole moment of this pair of charges?
A fishing line has attached to it a hollow plastic float 2.65 cm in diameter and having a mass of 1.50 g. Find the mass of a lead weight
A 50.0 g sample of carbon taken from the femur bone of a skeleton is found to havea carbon -14 decay rate of 410 decays/min
An ideal polarizer with its transmission axis rotated 30.5 to the vertical is placed in a beam of unpolarized light of intensity 10 W/m ^2. After passing through the polarizer, what is the intensity of the beam
The origin of the coordinate system and with a label at their heads. Two of these vectors are given in terms of the unit-vectors I and j as
A ball thrown straight upward returns to its original level in 2.80 s . A second ball is thrown at an angle of 44.0 degrees above the horizontal. What is the initial speed of the second ball
A 1-cm-thick layer of water stands on a horizontal slab of glass. What is the maximum angle of incidence for which the light ray can emerge into the air above the water
what slit separation required to desired interference patten.
A battery's potential is measured to be 9 V outside of a circuit, the battery is placed in a circuit and it delivers 0.2 A of current. compute the internal resistance of the battery
The width of the ribbon normal to a radius vector originationg at the star's center is much greater than the thickness of the ribbon in the radial direction.
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