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1) (25 points) Oceans cover about 75% of the Earth's surface. Suppose that all of the Earth's land (not water) is subdivided among all currently
1) (25 points) Oceans cover about 75% of the Earth's surface. Suppose that all of the Earth's land (not water) is subdivided among all currently living people, with each per- son receiving the same number of square meters of land area. so that the Earth's entire population is spread evenly across the land surface of the Earth. Estimate how far you would be from your nearest neighbor. Be clear about any assumptions you need to make. Recall that the distance from the North Pole to the equator is about 107 meters. 2) (35 points) A monkey is hanging from a tree 10 meters above the ground. A hunter standing 100 meters from the tree aims a rifle from ground level directly at the mon- key, and fires a bullet with velocity 60 meters per second. The monkey releases his grip from the tree at exactly the moment the bullet is fired. Does the bullet strike the monkey? Justify your answer numerically. 3) (40 points). Masses ml and m2 are connected by a massless cord via a massless pulley as shown in the below figure. The coefficient of kinetic friction between ml and the inclined plane is 0.20, and the angle 6 : 300. The mass of ml is 10 kg and that of mg is 2 kg. a Draw a free-body diagram for m2 showing all forces acting on it. Find the tension T in the cord. ) b) Draw a free-body diagram for ml showing all forces acting on it. C) ) d Find the acceleration of mg
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