To visit your favorite ice cream shop, you must travel 490 m west on Main Street and then 950 m south on Division Street. (a) Find the total distance you traveled. (b) Write your displacement vector in unit vector notation, taking the x ^ direction to be east and the y ^ direction to be north. (c) Write the displacement vector required to return to your starting point in unit vector notation.
To visit your favorite ice cream shop, you must travel 490 m west on Main Street and then 950 m south on Division Street. (a) Find the total distance you traveled. (b) Write your displacement vector in unit vector notation, taking the x ^ direction to be east and the y ^ direction to be north. (c) Write the displacement vector required to return to your starting point in unit vector notation.
To visit your favorite ice cream shop, you must travel 490 m west on Main Street and then 950 m south on Division Street. (a) Find the total distance you traveled. (b) Write your displacement vector in unit vector notation, taking the
x
^
direction to be east and the
y
^
direction to be north. (c) Write the displacement vector required to return to your starting point in unit vector notation.
6. A car drives at steady speed around a perfectly
circular track.
(a) The car's acceleration is zero.
(b) The net force on the car is zero.
(c) Both the acceleration and net force on the car
point outward.
(d) Both the acceleration and net force on the car
point inward.
(e) If there is no friction, the acceleration is
outward.
9. A spring has a force constant of 100 N/m and an
unstretched length of 0.07 m. One end is attached to
a post that is free to rotate in the center of a smooth.
table, as shown in the top view in the figure below.
The other end is attached to a 1kg disc moving in
uniform circular motion on the table, which
stretches the spring by 0.03 m. Friction is negligible.
What is the centripetal force on the disc?
Top View
(a)
0.3 N
(b)
3.0 N
(c)
10 N
(d)
300 N
(e)
1000 N
4. A child has a ball on the end of a cord, and whirls
the ball in a vertical circle. Assuming the speed of
the ball is constant (an approximation), when would
the tension in the cord be greatest?
(a) At the top of the circle.
(b) At the bottom of the circle.
(c) A little after the bottom of the circle when the
ball is climbing.
(d) A little before the bottom of the circle when the
ball is descending quickly.
(e) Nowhere; the cord is pulled the same amount at
all points.
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