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Question1
A lunar landing craft approaches the moon’s surface. Suppose that one-third of its weight is fuel, that exhaust velocity from its rocket engine is 1500 m/s, and that acceleration of gravity at the lunar surface is one-sixth of that at the earth’s surface. How long can craft hover over the moon’s surface before it runs out of fuel?
Question2
Planet Mercury (m = 0.3301 x 10^24 kg ) is in a circular orbit about the sun (M = 1.989 x 10^30 kg ) at r = 57.91 x 10^6 km. demonstrate that this slight shortening of period amounts to the observed precession (gradual rotation of the semi-major axis ) of Mercury's orbit that is 43 seconds of arc per century. This contract between Einstein's calculations and observed precession was one early piece of proof confirming Einstein's relativity.
The angular momentum of Earth is constant
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A dockworker applies a constant horizontal force of 84.0\({\rm N}\) to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves a distance 12.5\({\rm m}\) in a time 4.80\({\rm s}\)
Calculate the dc voltage applied to the circuit.
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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Write down the expression for net torque
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