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Question1
A car is stopped at a traffic light. It next travels along a straight road so that its distance from the light is given by x (t) = bt2 - ct3, where b = 2.40 m/s2 and c = 0.120 m/s3.
(a) Compute the average velocity of the car for the time interval t = 0 to t = 10.0s.
(b) Analyse the instantaneous velocity of the car at t = 0, t = 5.0 s, and t = 10.0 s.
(c) How long after starting from rest is car again at rest?
Question2
A person is pulling a block of mass m with a force equal to its weight directed 30 degrees more than the horizontal plane across a rough surface, generating a friction f on the block. If person is now pushing downward on the block with the same force 30 degrees above the horizontal plane across similar rough surface, what is friction on the block?
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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