Chapter 3: Q.10CQ (page 119)
Give an example of a nonzero vector that has a component of zero.
Short Answer
If a vector is acting along a particular axis, either x or y axis, then the component of the vector other than its direction will be zero.
Chapter 3: Q.10CQ (page 119)
Give an example of a nonzero vector that has a component of zero.
If a vector is acting along a particular axis, either x or y axis, then the component of the vector other than its direction will be zero.
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Get started for freeFind the following for path A in Figure,
(a) the total distance traveled, and
(b) the magnitude and direction of the displacement from start to finish.
The various lines represent paths taken by different people walking in a city. All blocks are120 mon a side.
Suppose you walk \({\bf{18}}.{\bf{0}}\)m straight west and then \({\rm{25}}{\rm{.0}}\) m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B , then this problem asks you to find their sum R = A + B .)
(a) In what direction would the ship have to travel in order to have a velocity straight north relative to the Earth, assuming its speed relative to the water remains 7.00m/s?
(b) What would its speed be relative to the Earth?
An owl is carrying a mouse to the chicks in its nest. Its position at that
time is 4.00 m west and 12.0 m above the center of the 30.0 cm diameter nest. The owl is flying east at 3.50 m/s at an angle30.0ºbelow the horizontal when it accidentally drops the mouse. Is the owl lucky enough to have the mouse hit the nest? To answer this question, calculate the horizontal position of the mouse when it has fallen 12.0 m.
Prove that the trajectory of a projectile is parabolic, having the form . To obtain this expression, solve the equation for and substitute it into the expression for (These equations describe the xand y positions of a projectile that starts at the origin.) You should obtain an equation of the form where a and bare constants.
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