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.

Can you think of a way a rock unit with an older fossil could be above a rock until with a younger fossil? describe the scenario.

1. how much energy is needed to raise the temperature of 40.0 g of argon from 25c to 40c? the specific heat capacity of argon is 0.520 j/(g·k) 2a. 23.0 ml of 0.100 m hcl (standard) are added from a buret to neutralize 50.0 ml of an unknown basic solution. 2b. if the oh- produced in the previous reaction came from ca(oh)2, then what is the molarity of the ca(oh)2? 3.calculate the new freezing-point of a solution when 60.5 grams of cacl2 solute is dissolved in 0.612 kg of water. 4. what is the maximum number of moles of alcl3 that can be produced from 5.0 mol al and 6.0 mol cl2? 5. a sample of oxygen gas has a volume of 150 ml when its pressure is 0.923 atm. if the pressure is increased to 0.987 atm and the temperature remains constant, what will the new volume be? 6. nitrogen gas in a closed container at a temperature of 100.0 oc and 3.0 atm is heated to 300 oc. what is the pressure of the gas at the higher temperature?

Asled is being held at rest on a slope that makes an angle θ with the horizontal. after the sled is released, it slidesa distance d1 down the slope and then covers the distance d2 alongthe horizontal terrain before stopping. find the coefficient ofkinetic friction μk between the sled and the ground, assumingthat it is constant throughout the trip. find the coefficient of kinetic frictionμk. express your answer in terms of someor all of the variables d1, d2, and θ.