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1. An object is being pulled up a 15° incline against a frictional coefficient of 0.15, and requires
a force of 835 N parallel to the surface of the ramp to move it at a constant speed. What is the
weight of the object?
2. Hector is walking his dog (Fido) around the neighborhood. Upon arriving at Fidella's house (a
friend of Fido's), Fido turns part mule and refuses to continue on the walk. Hector yanks on the
chain with a 67.0 N force at an angle of 30.0° above the horizontal. Determine the horizontal and
vertical components of the tension force.
3. Lee Mealone is sledding with his friends. Disgruntled by a coarse comment, he decides to
separate from the group. He momentarily exerts a 31 N force on the rope which is attached to his
2.5-kg sled. The rope makes an angle of 22° with the nearly frictionless surface. Use the
structure provided below to determine the net force on and acceleration of the sled.
4. Renee is on Spring Break and pulling her 21-kg suitcase through the airport at a constant
speed of 0.47 m/s. She pulls on the strap with 120 N of force at an angle of 38° above the
horizontal. Determine the normal force and the total resistance force (friction and air resistance)
experienced by the suitcase.
5.Ben Laborin works for the South bookstore during the summer months to help prepare for Fall
sales. Books from one supplier are shipped to the school in large crates equipped with rope
handles on all sides. On one occasion, Ben momentarily pulled with a force of 692 N at an angle
of 36.0° above the horizontal to accelerate a 112-kg crate of books. The coefficient of friction
between the crates and the vinyl floor is 0.548. Determine the acceleration experienced by the
crate. (Suggestion: Begin with a free body diagram.)
6. The custodians clean the field house gym floor between games at the annual Holiday Basketball
Classic. Chuck exerts a force on a 1.1-kg push broom as he walks across the floor at a constant speed.
The coefficient of friction between the floor and the broom is 0.45 and the broom handle makes an
angle of 41° with the horizontal. Determine the amount of force with which Chuck pushes downward
(along the handle of the broom) in order to achieve this constant speed motion. (Suggestion: Begin with
a free body diagram.)
7. Lon Mauer is cleaning up the driveway after mowing the grass. He exerts a sudden downward
force of 56.8 N at a constant angle of 54.7° below the horizontal in order to accelerate his 1.05kg broom from rest. The coefficient of friction between the broom bristles and the driveway is
0.567. Determine the rate of acceleration of the broom. (Suggestion: Begin with a free body
diagram.)
8. Lab partners Anna Litical and Noah Formula placed a 0.500-kg glider on their air track and
inclined the track at 15.0° above the horizontal. Determine the net force and acceleration of the
glider along the frictionless track. Use the structure provided with the free body diagram shown
below.
9. Anna Litical and Noah Formula now place a 1.38-kg brick on a wooden board and incline the
board at 24.0° above the horizontal. The coefficient of friction between the brick and the board is
0. 328. Determine the net force and the acceleration of the brick. Use the structure provided with
the free body diagram shown below.
10. Ben Laborin exerts a force on an 86-kg crate of books to push it up the ramp of the loading
dock at a constant speed of 24 cm/s. The ramp makes an angle of 12° with the horizontal. The
coefficient of friction between the crate and the ramp is 0.74. Assuming that Ben is pushing
parallel to the inclined plane, determine the force with which he is pushing. (Suggestion: Begin
with a free body diagram.)
11. Captain John Stapp of the U.S. Air Force tested the human limits of acceleration by riding on
a rocket sled of his own design. His rocket sled, known as the Gee Whiz, had a mass of about 82
kg. What net force would be required to accelerate the Gee Whiz and 82-kg Stapp at 450 m/s/s
(the highest acceleration tested by Stapp)?
12. The Top Thrill Dragster stratacoaster at Cedar Point Amusement Park in Ohio uses a
hydraulic launching system to accelerate riders from 0 to 54 m/s (120 mi/hr) in 3.8 seconds
before climbing a completely vertical 420-foot hill . Determine the net force required to
accelerate an 86-kg man.
13. a. Determine the net force required to accelerate a 540-kg ultralight car from 0 to 27 m/s (60
mph) in 10.0 seconds.
b. Determine the net force required to accelerate a 2160-kg Ford Expedition from 0 to 27 m/s (60
mph) in 10.0 seconds.
14. Ethan is dragging a bag of grass from the garage to the street on the
evening before garbage pick-up day. The diagram at the right is a freebody diagram. It uses arrows to represent the forces acting upon the bag.
Each force is labeled according to type. The magnitude of the force is
represented by the size of the arrow. Use the free body diagram to
determine the net force acting upon the bag. The values of the individual
forces are:
Fgrav = Fnorm = 60.5 N
Fapp = 40.2 N
Ffrict = 5.7 N.
15.Alejandra is attempting to drag her 32.6-kg Golden Retriever across the wooden floor by
applying a horizontal force. What force must she apply to move the dog with a constant speed of
0.95 m/s? The coefficient of friction between the dog and the floor is 0.72.