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Chapter 9: Q.13 (page 228)
Evaluate the dot product ,if
a. and
b.and
a.
b.
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A mother has four times the mass of her young son. Both are running with the same kinetic energy. What is the ratio vson /vmother of their speeds?
A g bug is hovering in the air. A gust of wind exerts a force role="math" localid="1648061852575" N on the bug.
a. How much work is done by the wind as the bug undergoes displacement m?
b. What is the bug’s speed at the end of this displacement? Assume that the speed is due entirely to the wind.
A spring of equilibrium length and spring constant hangs from the ceiling. Mass is suspended from its lower end. Then a second spring, with equilibrium length and spring constant , is hung from the bottom of . Mass is suspended from this second spring. How far is below the ceiling?
a. Starting from rest, a crate of mass is pushed up a frictionless slope of angle by a horizontal force of magnitude . Use work and energy to find an expression for the crate’s speed when it is at height above the bottom of the slope.
b. Doug uses a N horizontal force to push a kg crate up a -m-high, frictionless slope. What is the speed of the crate at the top of the slope?
Particle A has half the mass and eight times the kinetic energy of particle B. What is the speed ratio vA/vB?
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