Download Practice Test - Manhasset Public Schools

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Practice Test
1. Which term represents a scalar quantity?
1) distance
3) force
2) displacement
4) weight
5. In the diagram below, a 20.-newton force due north and
a 20.-newton force due east act concurrently on an
object, as shown in the diagram below.
Base your answer to the following question on The
diagram below shows a 1.0 × 105-newton truck at rest
on a hill that makes an angle of 8.0º with the
horizontal.
The additional force necessary to bring the object into a
state of equilibrium is
1) 20. N, northeast
3) 28 N, northeast
2. What is the force of friction?
1) 1.4
3) 1.4
10 3 N
10 4 N
2) 1.0
4) 9.9
10 5 N
10 4 N
2) 20. N, southwest
4) 28 N, southwest
Base your answers to questions 6 and 7 on The
diagram below represents two forces acting
concurrently on an object at point P.
3. The components of a 15-meters-per-second velocity at
an angle of 60.° above the horizontal are
1)
2)
3)
4)
7.5 m/s vertical and 13 m/s horizontal
13 m/s vertical and 7.5 m/s horizontal
6.0 m/s vertical and 9.0 m/s horizontal
9.0 m/s vertical and 6.0 m/s horizontal
4. The diagram below shows a block sliding down a plane
inclined at angle with the horizontal.
6. Which diagram best represents the equilibrant of these
two forces?
1)
2)
3)
4)
7. What is the magnitude and direction of the resultant?
As angle is increased, the force of kinetic friction
between the bottom surface of the block and the surface
of the incline will
1) decrease
3) remain the same
2) increase
1)
2)
3)
4)
16 N 31o North of East
12 N 31o North of East
8 N 31o South of West
12 N 59o South of West
8. As more force is applied to a steel box sliding on a steel
surface, the coefficent of kinetic friction will
1) decrease
3) remain the same
2) increase
9. A boat heads directly southward across a river at 15
meters per second. If the current in the river is flowing
at 5.0 meters per second due East, what is the
magnitude of the boat's resultant velocity?
1) 20 m/s
3) 16 m/s
14. A child pulls a 4 Kg wagon along a frictionless level
sidewalk. The child applies a 22-newton force to the
wagon handle, which is inclined at 35° to the sidewalk
as shown below.
2) 10 m/s
4) 3 m/s
10. Which pair of concurrent forces may have a resultant
of 20. Newtons?
1) 5.0 N and 10. N
3) 20. N and 50. N
2) 20. N and 20. N
4) 30. N and 5.0 N
11. The diagram below shows a 10.0-kilogram mass held
at rest on a frictionless 30.0° incline by force F.
What is the magnitude of the acceleration of the
wagon?
1) 3.2 m/s 2
3) 18 m/s 2
What is the approximate magnitude of force F?
1) 9.81 N
3) 85.0 N
2) 49.1 N
4) 98.1 N
12. The diagram below shows a force of magnitude F
applied to a mass at angle relative to a horizontal
frictionless surface.
As angle is increased, the horizontal acceleration of
the mass
1) decreases
3) remains the same
2) increases
13. A baseball bat exerts a force of magnitude F on a ball.
If the mass of the bat is three times the mass of the
ball, the magnitude of the force of the ball on the bat
is
1) F
2) 2F
3) 3F
4) F/3
2) 13 m/s 2
4) 4.5 m/s 2
15. The force required to start an object sliding across a
uniform horizontal surface is larger than the force
required to keep the object sliding at a constant
velocity. The magnitudes of the required forces are
different in these situations because the force of
kinetic friction
1) is greater than the force of static friction
2) is less than the force of static friction
3) increases as the speed of the object relative to the
surface increases
4) decreases as the speed of the object relative to the
surface increases
16. Two students are pushing a car. What should be the
angle of each student’s arms with respect to the flat
ground to maximize the horizontal component of the
force?
1) 0º
2) 30º
3) 45º
4) 90º
17. An unbalanced force is applied to a mass, producing
an acceleration. If the same unbalanced force is
applied to a mass one-half as large, the resulting
acceleration will be
1) the same
3) one-half as great
2) twice as great
4) four times as great
18. A 1.0-kilogram block is placed on each of four
frictionless planes inclined at different angles. On
which inclined plane will the acceleration of the block
be greatest?
20. Which graph best represents the motion of an object in
equilibrium?
1)
2)
3)
4)
1)
2)
21. A student pulls a cart across a horizontal floor by
exerting a force of 50. newtons at an angle of 35° to
the horizontal.
3)
4)
19. The vector diagram below represents the horizontal
component, FH, and the vertical component, FV, of a
24-newton force acting at 35° above the horizontal.
What are the magnitudes of the horizontal and vertical
components?
1)
2)
3)
4)
FH = 3.5 N and FV = 4.9 N
FH = 4.9 N and FV = 3.5 N
FH = 14 N and FV = 20. N
FH = 20. N and FV = 14 N
a On the diagram above, using a protractor and a
straightedge, construct a scaled vector showing the
50.-newton force acting on the cart at the appropriate
angle. The force must be drawn to a scale of 1.0
centimeter = 10. N. Label the 50.-newton force and
the 35° angle on your diagram. Be sure your final
answer appears with the correct labels (numbers and
units).
b Construct the horizontal component of the force
vector to scale on your diagram, and label it H.
c What is the magnitude of the horizontal component
of the force?
22. A spring scale is attached to the ceiling. Three forces
are pulling downward on the scale as shown.
On the diagram draw an arrow representing the three
forces.
23. Calculate the X and Y components for each force.
[Show all work including substitution and units.]
24. Determine the reading on the spring scale.
Base your answers to questions 25 through 28 on the information below.
A river has a current flowing with a velocity of 2.0 meters per second due east. A boat is 75
meters from the north riverbank. It travels at 3.0 meters per second relative to the river and is headed
due north. In the diagram below, the vector starting at point P represents the velocity of the boat
relative to the river water.
25. On the diagram, use a ruler and protractor to construct
a vector representing the velocity of the river current.
Use a scale of 1.0 centimeter = 0.50 meter per second.
26. Calculate or find graphically the magnitude of the
resultant velocity of the boat. [Show all work,
including the equation and substitution with units or
construct the resultant velocity vector for the graph,
using a scale of 1.0 centimeter = 0.50 meter per
second. The value of the magnitude must be written
below]
27. Calculate the time required for the boat to cross the
river. [Show all work, including the equation and
substitution with units.]
28. Calculate how far downstream the boat drifts.
Answer Key
test 2d vectors and inclines
1.
1
2.
3
3.
2
4.
1
5.
4
6.
3
7.
2
8.
3
9.
3
10.
2
11.
2
12.
1
13.
1
14.
4
15.
2
16.
1
17.
2
18.
4
19.
4
20.
1
21.
22.
23.
24.
25.
26.
c = 3.6 m/s or
hypotenuse = 3.6 m/s
or R = 3.6 m/s
27.
t = 25 s
28.