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 A fluid flow is given by : V = x * y ^ 2 * i - 2y * z ^ 2 * j - (z * y ^ 2 - (2z ^ 3)/3) * k. Prove that it is a case of possible steady incompressible fluid flow Calculate the velocity and acceleration at the point [1, 2, 3] .


The electron and proton of a hydrogen atom are separated (on the average) by a distance of approximately 5.3x10^-11 m. Find the magnitude of the electric force and the gravitational force between the two particles


Calculate the magnitude and direction of the electric field at a point P which is 30 cm to the right of a point charge Q = -3.0 x 10-6 C


Consider an electron which has been  accelerated from rest through a potential difference of 500kV. Find a) Its kinetic energy, b.) its rest energy, c.) its total energy, d.) its mass and e.) its speed.


An oscillatory body of mass In attached to a spring of stiffness constant s performs simple harmonic motion in the x-direction. Show that the oscillation is described by the equation mx + sx =0


You have a certain set-up of a vertical spring, and when hung freely the equilibrium position

reading is 30cm on earth. If you take the same set-up on the moon surface, would the equilibrium

position be more than, less than or equal to 30cm? Explain.


From two points each on the opposite sides of a river . The angles of elevation of the top of an 80 feet tree are 60° and 30°. The points and the tree are in the same straight line , which is perpendicular to the river. How wide is the river ?

A man 5 feet tall casts a shadow of 5 feet on the ground. Find the angle of elevation of the sun ?

Find the length of a loading ramp which extends from a building to the ground. The lower end of the ramp is 6meter from the building , and the upper is 8 meter from the building.

What is the perimeter needed to fence a right triangle with legs 63feet and 16 feet.

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