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physics Problem.docx attached is physics paper. need clear explanation

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Problem # 1 Do heavier objects fall more slowly than lighter objects? Problem # 2 Why do objects float in liquids denser than themselves? Problem # 3 A particle is moving around in a circle and its position is given in polar coordinates as x = Rcosθ, and y = Rsinθ, where R is the radius of the circle, and θ is in radians. From these equations derive the equation for centripetal acceleration. Problem # 4 How come in free fall you feel weightless even though gravity is pulling down on you? (ignore air resistance when answering this question). Problem # 5 What is the difference between centripetal acceleration and centrifugal force? Problem # 6 Two identical cars collide head on. Each car is traveling at 100 km/h. The impact force on each car is the same as hitting a solid wall at: (a) 100 km/h (b) 200 km/h (c) 150 km/h (d) 50 km/h Problem # 7 Why is it possible to drive a nail into a piece of wood with a hammer, but it is not possible to push a nail in by hand? Problem # 8 An archer pulls back 0.75 m on a bow which has a stiffness of 200 N/m. The arrow weighs 50 g. What is the velocity of the arrow immediately after release? Problem # 9 When a moving car encounters a patch of ice the brakes are applied. Why is it desirable to keep the wheels rolling on the ice without locking up?
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