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Q1. An archer puts a 0.26 kg arrow to the bowstring. An average force of 213 N is exerted to draw the string back 1.3 m. unless otherwise directed, suppose that air resistance is negligible. Illustrate energy bar graphs to solve the problem.
(a) Assume that all the energy goes into the arrow, with what speed does the arrow leave the bow?
(b) If the arrow is shot straight up, how high does it rise?
Q2. A simple harmonic oscillator consists of a block of mass 1.80 kg attached to a spring of spring constant 107 N/m. while t = 1.00 s, the position and velocity of the block are x = +0.129 m and v = +3.415 m/s.
What is amplitude of the oscillations?
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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