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Question 1:
A 6 pound particle has following forces applied to it (the force are in pounds):
F1 = (2i+ 6j - 2tk)
F2 = (t2i - 4tj - 1k)
F3 = (-2ti)If the particle is released from rest at the origin, where will it be In 2 seconds?
Question 2:
Two disks moving on a frictionless surface collide as shown below. Angle A is 30 degrees, Angle B is 45 degrees. The velocity of A is 3m/s the velocity of B is 1m/s. The coefficient of restitution for the disks is 0.72, determine the final velocities of the disks, A and B, after the collision in both the x and y direction.
Question 3:
A 10 kg ball is fired straight up (z direction) with an initial velocity of 50m/s determine the maximum height it will travel of atmospherics resistance is neglected. Extra Credit: determine the maximum height if the atmospheric resistance is F = (0.01"v^2) N with v being the instantaneous velocity of the ball, measured in m/s.
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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