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Q1. A rifle fires a 2.39 10-2-kg pellet straight upward, since the pellet rests on a compressed spring that is released when the trigger is pulled. The spring has a negligible mass and is compressed by 9.17 10-2 m from its unstrained length. The pellet rises to a maximum height of 6.12 m above its position on the compressed spring.
Ignoring air resistance, find out the spring constant.
Q2. A 4.00 kg counterweight is attached to a light cord, which is wound around a spool. The spool is a uniform solid cylinder of radius 8.00 cm and mass 2.00 kg.
(a) What is net torque on the system about the point O?
(b) When counterweight has a speed v, the pulley has an angular speed w= v/R. Determine the total angular momentum of the system about O.
(c) Using the fact that torque = dL/dt and your result from (b), calculate the acceleration of the counterweight.
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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