Archimedes is supposed to have said, “Give me a place to stand on and I will move the Earth.” While in principle the claim is valid, the prob-
lems of testing it are vast. Consider the following, highly unrealistic
conditions. Suppose you had a mass equal to that of the Earth—5.98 X
1024 kg—and that it rests on one end of a lever that is balanced on a
fulcrum. The fulcrum is placed on a vast, flat surface in a gravitational
field equal to that at Earth's surface. Let Earth be placed 1.00 m from
the fulcrum, while the distance from the fulcrum to the applied force is
3.8 x 1016 m, or the approximate distance from the sun to the next
closest star. How large must the applied force be to balance the Earth's
weight? How large is the upward force exerted by the fulcrum on the
lever? Assume the lever to be massless.

Aparticle initially moving east with a speed of 20.0 m/s, experiences an acceleration of 3.95 m/s, north for a time of 8.00 s. what was the speed of the particle after this acceleration, in units of m/s? give the answer as a positive number.

To understand the behavior of the electric field at the surface of a conductor, and its relationship to surface charge on the conductor. a conductor is placed in an external electrostatic field. the external field is uniform before the conductor is placed within it. the conductor is completely isolated from any source of current or charge. part a: which of the following describes the electric field inside this conductor? it is in the same direction as the original external field. it is in the opposite direction from that of the original external field. it has a direction determined entirely by the charge on its surface. it is always zero. part b: the charge density inside the conductor is: 0non-zero; but uniformnon-zero; non-uniforminfinite part c: assume that at some point just outside the surface of the conductor, the electric field has magnitude e and is directed toward the surface of the conductor. what is the charge density η on the surface of the conductor at that point? express your answer in terms of e and ϵ0

How does the entropy of steam compare to the entropy of ice?