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An acrobat swings from a trapeze with a frequency of 0.5Hz what is the length of the trapeze cable ?

A 2µF capacitor is charged to 10 V, and then discharged through a 1.0 MΩ resistor.


a) What is the time constant of the discharge circuit? (Answer: 2 s)


b) What is the time taken for the potential difference across the capacitor to drop to 5 V? (Answer: 1.39


s)


Using the triboelectric series, identify which of the two materials will become negatively charged if charged by friction.


1. Gold and Silk

2. Fur and Aluminum

3. Polyethylene and Cling Film

4. Cotton and Glass

5. Acetate fiber and Teflon

6. Brass and Silicon

7. Steel and Wood

8. Polyester and Copper

9. Silver and Gold

10. Nylon and rubber



1. When a Wool is rubbed with a PVC, the PVC acquires a charge of magnitude 5.43nC.




a. Did the wool gain or lose electrons?


b. How many electrons were transferred during the process?


c. What is the change in the mass of the wool?


d. What is the change of the mass of the PVC?


A particle is described by a position Q (2.5, π/3, 6) in a cylindrical coordinate, determine the position of the particular Cartesian coordinate


A solid rigid body rotating about an axis has a mass of 20kg and a radius of 2m from the axis of rotation. If the angular velocity is 25 rad/s,calculate the rotational kinetic energy


A solenoid has 80 cm length, number of loop is 4 and magnetic field inside it

        is 1.2 x 10 – 5T.  Find the current passing through the each loop of wire.



Find the magnetic field produced by the solenoid if the number of loops is 400

       and current passing through it is 5A. (Length of the solenoid is 40cm).



A superman is sitting on a tree 98m right with a baby he has rescued from the claws of a tiger. Unfortunately the child slips and fall with an initial velocity of 0ms^–². Superman realized what was happening 2 seconds later and flow to catch the child at a speed of 39.2ms^–¹. Calculate







(1) the time superman will fly before catching the child.







(2) the distance superman will fly before catching the child.

A solid copper sphere has a net positive charge. The charge is distributed uniformly over the surface of the sphere, and the electric field inside the sphere is zero. Then a negative point charge outside the sphere is brought close to the surface of the sphere. Is all the net charge on the sphere still on its surface? If so, is this charge still distributed uniformly over the surface? If it is not uniform, how is it distributed? Is the electric field inside the sphere still zero? In each case justify your answers.


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