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I don’t understand what the questions are asking or what formulas or tools I would need to use to solve and understand the problems.1. [-/1 Points]
DETAILS
SERCP11 1.3.P.005.
MY NOTES
Newton’s law of universal gravitation is represented by
Mm
F = G
where F is the gravitational force, M and m are masses, and ris a length.
Force has the SI units kgm/s2. What are the SI units of the proportionality
constant G?
m3
kg 53
m3
kg.
m2
kg. 33
m2
kg. 52
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2. [-14 Points]
DETAILS
SERCP11 1.4.OP.011.
MY NOTES
Find the number of significant figures in each of the following.
(a) 62.4 + 0.1
(b) 3.4670 x 109
(c) 2.7000 x 10-6
(d) 0.0019
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3. [-13 Points]
DETAILS
SERCP11 1.4.P.012.
MY NOTES
The speed of light is now defined to be c = 2.99792458 x 108 m/s.
(a) Express the speed of light to three significant figures.
m/s
(b) Express the speed of light to five significant figures.
m/s
4.0
(c) Express the speed of light to seven significant figures.
m/s
4.0
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4. [-12 Points]
DETAILS
SERCP11 1.5.P.023.
MY NOTES
A car is traveling at a speed of 35.4 m/s on an interstate highway where the
speed limit is 60.0 mi/h. Is the driver exceeding the speed limit?
O Yes
O No
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5. [-12 Points]
DETAILS
SERCP11 1.10.OP.063.
MY NOTES
Vector A has a magnitude of 31.5 units and it points in a direction 330°
counterclockwise from the positive x-axis. What are the x- and
y-components of A?
Ax =
units
Ay =
units
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6. [-12 Points]
DETAILS
SERCP11 1.10.P.060.
MY NOTES
Calculate the x-component and the y-component (in m) of the vector with
magnitude 14.0 m and direction 38.00.
HINT
X =
m
y =
m
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7. [-12 Points]
ETAILS
SERCP11 1.10.P.061.
NOTES
A vector á has components Ax = -7.00 m and Ay = 8.50 m. Find the magnitude (in m)
and the direction (in degrees counterclockwise from the +x-axis) of the
vector.
HINT
magnitude
m
direction
counterclockwise from the +x-axis
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It
8. (-12 Points]
DETAILS
SERCP11 1.10.P.062.
MY NOTES
A person walks 11.0° north of east for 2.40 km. How far due north and how
far due east would she have to walk to arrive at the same location?
north
km
east
km
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9. (-12 points)
DETAILS
SERCP11 1.10.OP.068.
MY NOTES
The map below shows that Atlanta is 730 miles in a direction 5.00° north of
east from Dallas, and that Chicago is 560 miles in a direction 21.0° west of
north from Atlanta. Assuming the Earth may be approximated as flat across
this map, what is the displacement from Dallas to Chicago? Find its
magnitude (in mi) and direction (in degrees) as measured counterclockwise
from due east of Dallas.
Chicago
21.0° .
560 mi
730 miAtlanta
Dallas
5.00
magnitude
mi
direction
counterclockwise from due east of Dallas
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10. [-13 Points)
DETAILS
SERCP11 1.10.P.065.
MY NOTES
A girl delivering newspapers covers her route by traveling 5.00 blocks west,
3.00 blocks north, and then 8.00 blocks east.
HINT
(a) What is her final position relative to her starting location? (Enter the
magnitude in blocks and the direction in degrees north of east.)
magnitude
blocks
direction
north of east
(b) What is the length (in blocks) of the path she walked?
blocks
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11. [-12 Points]
DETAILS
SERCP11 1.10.P.067.
MY NOTES
A vector has an x-component of -22.0 units and a y-component of 34.0 units.
Find the magnitude and direction of the vector.
magnitude
(counterclockwise from the +x-axis)
units
direction
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12. [-14 Points]
DETAILS
SERCP11 1.10.P.070.
MY NOTES
The helicopter view in the figure below shows two people pulling on a
stubborn mule. (Take F, = 132 N and F2 = 84.0 N.)
E F
75.0 60.0°
(a) Find the single force that is equivalent to the two forces
nown.
magnitude
direction
º counterclockwise from the +x-axis
(b) Find the force a third person would have to exert on the mule to
make the net force equal to zero.
magnitude
N
direction
counterclockwise from the +x-axis
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13. [-12 Points]
DETAILS
SERCP11 1.9.OP.058.
MY NOTES
As you will see in a later chapter, forces are vector quantities, and the total
force on an object is the vector sum of all forces acting on it.
In the figure below, a force F, of magnitude 6.90 units acts on a box at the
origin in a direction o = 31.0° above the positive x-axis. A second force ?, of
magnitude 5.00 units acts on the box in the direction of the positive y-axis.
Find graphically the magnitude and direction (in degrees counterclockwise
from the +x-axis) of the resultant force ř, + F2
E
magnitude
units
direction
counterclockwise from the +x-axis
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14. [-12 points)
DETAILS
SERCP11 1.9.P.055.
MY NOTES
Vector A has a magnitude of 31 units and points in the positive y-direction.
When vector B is added to Ã, the resultant vector A + B points in the negative
y-direction with a magnitude of 18 units. Find the magnitude and direction of
B.
magnitude
unit(s)
direction
—Select-
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