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Q. According to legend, to determine whether the king's crown was made of pure gold, Archimedes measured the crown's volume by determining how much water it displaced. The density of gold is 19.3 g/cm3. If the crown's mass was 6.00 ´ 102 g, what volume of water would have been displaced if the crown was indeed made of pure gold?
Q. A child looks at his reflection in a spherical Christmas tree ornament 8.0 cm in diameter, and sees his image reduced by half. How far is his face from the ornament.
A golfer takes two putts to get his ball into the hole once he is on green. The first putt displaces the ball into the ball 6.7 m east, and the second 2.16 m south. What displacement would have been needed to get the ball into the hole on first putt.
A dam is used to block the passage of a river and to generate electricity. Approximately 5.73 x 10^4 kg of water fall each second through a height of 19.6 m. I one half of the gravitational potential energy of water were converted to electrical energ..
A motorcycle daredevil plans to ride up a 2.50m high 25.0° ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side.
Find the mass flow rate in through the vent in question #1 using the following well-known relationship for the mass flow into an opening:
How rapidly atom are assembled in this protein synthesis
The coefficient of kinetic friction is 0.50. A horizontal force of magnitude 87 N begins to pull directly on the block. In unit-vector notation, what are the resulting accelerations of (a) block and (b) slab.
A capacitor is connected across the terminals of an ac generator that has a frequency of 370 Hz and supplies a voltage of 15 V. When a second capacitor is connected in parallel with the first one, the current from the generator increases by 0.27 A. D..
If you place a 0.0001-C charge halfway between the terminals of a common 9-v battery, 5 mm apart, what force will that charge experience.
A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second, and three corners from the third. Rank the 3 plates according to the x coordinate of their center of mass, from smallest to large..
The frequency of an opera singer is 450 Hz. Assume the speed of sound in air is 340 m/s. What is the frequency heard by an observer who is running down the road towards the opera singer with a speed 25.0 m/s.
A high-speed drill reaches 2000 rpm in 0.50 s. What is the drill's angular acceleration? Through how many revolutions does it turn during this first 0.50s.
A 270 m wide river flows due east at a uniform speed of 2.30 m/s. A boat with the speed of 8.4 m/s relative to water leaves the south bank pointed in a direction 38o west of north. What is (a) magnitude and (b) direction of the boat's velocity rel..
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