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Question1
A block of mass m1 = 4 kg moves from rest under the influence of a varying force F(x) = 4x + 38, where F is in Newtons and x is in meters, on a rough horizontal surface having a coefficient of kinetic friction of 0.2. The block is connected by a light cord passing over a small frictionless pulley to a second hanging block of mass m2 = 3 kg. If a system moves from x= 0 to x= 2m, calculate:1) work done by the force F(x) to move m1 from x= 0 to x= 2m.
2) Change in the potential energy of each mass
3) work done by friction.
4) The change in the kinetic energy of the system.
Question2
A non-uniform, 2.0 m long ladder weighing 400 N leans against a smooth vertical wall (no friction). The ladder makes an angle of 30 degrees with vertical. The coefficient of static friction at ground is 0.3. A child with weight of 300 N can climb the ladder of 1.2 m before it starts to slide down. The location of the centre of gravity of the ladder relative to ground is? The normal force coming from a smooth wall is?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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