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A spherical shell has an outside radius of 2.55 cm and an inside radius of a. The shell wall has uniform thickness and is made of a material with density 4.69 g/cm^3. The space inside the shell is filled with a liquid having a density of 1.09 g/cm^3.
(a) Find the mass m of the sphere, including its contents, as a function of a.
(b) For what value of a does m have its maximum possible value?
(c) What is this maximum mass?
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Explain how much distance is between you and the deer when you come to a stop? What is the maximum speed you could have and still not hit the deer?
A 0.105-kg ball is dropped from rest. If magnitude of the ball's momentum is 0.790 kg · m/s just before it lands on the ground, from what height was it dropped.
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Old MacDonald had a farm, and on that farm he had a gate (see below). The gate is 3m wide and 1.8m high, with hinges attached to the top and bottom. The guy wire makes an angle of 300 with the top of the gate and is tightened by a turn buckle to a..
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