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The motion of a human body through space can be precisely modeled as the motion of a particle at the body’s center of mass, as we will study in Chapter 8. The components of the displacement of an athlete’s center of mass from the beginning to the end of a certain jump are described by the two equations
Where t is the time at which the athlete lands after taking off at time t = 0. Identify(A) his position and (B) his vector velocity at the take off point. (C) The world long jump record is 8.95 m. How far did the athlete in this problem jump? (D) Make a sketch of the motion of his center of mass.
If water at 15°C is flowing through a 3cm diameter pipe with a velocity of 50 cm-1, calculate the Reynolds number. Is the flow turbulent or laminar?
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A spaceship moves past you at speed v. You calculate the ship to be 364 m long, whereas an astronaut on the ship measures a length of 420 m. Find v.
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A toy of mass 0.155 kg is undergoing SHM on the end of a horizontal spring with forces constant 305 N/m. When object is a distance 1.20×10-2 m from its equilibrium position, it is observed to have the speed of 0.255 m/s.
A 18.0 kg loudspeaker is suspended 2.40m below the ceiling by two 4.10m long cables that angle outward at equal angles. What is the tension of each of the cables.
A simple harmonic oscillator consists of the block of mass 1.90 kg attached to a spring of spring constant 196 N/m. while t = 3.00 s, position and velocity of the block are x = +0.129 m and v = +3.415 m/s.
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