pavl.wilson Golden agexooo e il , show your work in detail. Home work IV En-limi
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pavl.wilson Golden agexooo e il , show your work in detail. Home work IV En-limi Type your answers and submit it via email. 1. A helium-filled balloon is tied to a 3.00-m long, 0.075-kg uniform string. The balloon is spherical with a radius of 0.5 m and has mass 0.3-kg. When released, it lifts a length h of string and then remains in equilibrium. Determine the value of h. 2. Archimedes supposedly was asked to determine whether a crown made for the king consisted of pure gold. Legend has it that he solved this problem by weighing the crown first in air and then in water. Suppose the scale read 7.81 N in air and 6.84 N in water, what should Archimedes have told the king? 3. A 1000-kg satellite orbits the Earth at a constant altitude of 100 km. How much energy must be added to the system to move the satellite into a circular orbit with altitude 200 km? 4. Four particles are connected by rigid rods of negligible mass. Determine the force exerted on the 40.0-kg mass. How much energy is required to assemble the system? 40 kg 30 kg cm 5 cm 10 k 20 kgExplanation / Answer
1)volume of the ballon=4/3*3.14*0.5^3=0.5233
mass of air displaced=0.5233*1.2
=0.628kg
mass of helium=0.628*0.17
=0.106kg
mass of ball=0.3kg
mass of h m of string=0.05/3
=0.0166
=0.628=0.106+0.3+0.0166h
calculate for h
0.222/0.0166=h
h=13.3m.
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