1. Calculate the pressure on a woman’s foot when a woman who weighs 500N steps on her foot with her heels which have total area of 0.5 m2 with all her weight.
2.Calculate the pressure exerted on the floor when an elephant who weighs 6000 N stands on one foot which has an area of 20 m2
3. Calculate the pressure exerted on the heel of a girl’s foot if the girl weighs 500 N and she lands on one heel which has an area of 16 cm2.
4. A woman walking in high heals can damage a hardwood floor by making small dimplesin the floor since her weight is concentrated on such a small area (the tip of thehigh heal). If the woman weighs 500 N and the tip of the high heal is 1/15 m2. what is the pressure exerted on the floor by her high heal?
5. A 75-kg solid cylinder, 2.5 m long and with an end radius of 5.0 cm, stands on one end. How much pressure does it exert?
6. A barber raises his customer’s chair by applying a force of 150N to a hydraulic piston of area 0.01 m2. If the chair is attached to a piston of area 0.1 m2, how massive a customer can the chair raise? Assume the chair itself has a mass of 5 kg.
7. A hydraulic system is used to lift a 2000-kg vehicle in an auto garage. If the vehicle sits on a piston of area 0.5 square meter, and a force is applied to a piston of area 0.03 square meters, what is the minimum force that must be applied to lift the vehicle?
8. A 10 cm3 block of paraffin (a type of wax) weighs 0. 085 N. It is carefully submerged in a container of gasoline. One cm3 of gasoline weighs 0.0069 N.
a. What is the weight of the gasoline displaced by the paraffin?
b. Will the block of paraffin sink or float in the gasoline?
9. A 70kg ancient statue lies at the bottom of the sea. Its volume is 3 x 104 cm3. How much force is needed to lift it?
10. When a crown of mass 14.7 is submerged in water, an accurate scale reads only 13.4 kg. Is the crown made of gold? (ρgold = 19,300kg/m3)
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