Chapter 6: Q6-23Q (page 138)
Why is it easier to climb a mountain via a zigzag trail rather than to climb straight up?
It is easier to climb a mountain through a zigzag trail because less power is required in a zigzag path than a straight-up path.
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(I)A \(12\;{\rm{cm}}\) radius air duct is used to replenish the air of a room \(8.2\;{\rm{m}} \times 5.0\;{\rm{m}} \times 3.5\;{\rm{m}}\) every \(12\;{\rm{min}}\). How fast does the air flow in the duct?
In Fig. 6-31, water balloons are tossed from the roof of a building, all with the same speed but with different launch angles. Which one has the highest speed when it hits the ground? Ignore air resistance. Explain your answer.
Fig. 6-31 Problem 12
An oxygen atom at a particular site within a DNA molecule can be made to execute simple harmonic motion when illuminated by infrared light. The oxygen atom is bound with a spring-like chemical bond to a phosphorus atom, which is rigidly attached to the DNA backbone. The oscillation of the oxygen atom occurs with frequency \(f = 3.7 \times {10^{13}}\;{\rm{Hz}}\). If the oxygen atom at this site is chemically replaced with a sulfur atom, the spring constant of the bond is unchanged (sulfur is just below oxygen in the Periodic Table). Predict the frequency after the sulfur substitution.
A 52-kg person riding a bike puts all her weight on each pedal when climbing a hill. The pedals rotate in a circle of radius 17 cm. (a) What is the maximum torque she exerts? (b) How could she exert more torque?
The space shuttle launches an 850-kg satellite by ejecting it from the cargo bay. The ejection mechanism is activated and is in contact with the satellite for 4.8 s to give it a velocity of\(0.30\;{\rm{m/s}}\)in the x direction relative to the shuttle. The mass of the shuttle is 92,000 kg. (a) Determine the component of velocity\({v_{\rm{f}}}\)of the shuttle in the minus x direction resulting from the ejection. (b) Find the average force that the shuttle exerts on the satellite during the ejection.
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