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Q1. A 4.5 kg block starts at rest and slides a distance d down a frictionless 32.0 degree incline, where it runs into a spring. The block slides an additional 0.17 m before it is brought to rest momentarily by compressing the spring, whose spring constant is 424 N/m. What is the value of d?
What is the distance between the point of first contact and the point where the block's speed is greatest?
Q2. A man drags a 72.0 kg crate across the floor at a constant velocity by pulling on a strap attached to the bottom of the crate. The crate is tilted 26 degrees above the horizontal, and the strap is inclined 68 degrees above the horizontal. The center of gravity of the crate coincides with its geometrical center, as indicated in the drawing. Find the magnitude of the tension in strap.
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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