Download 5.1 Vectors 5.2 Friction Find the horizontal and vertical components

PHYSICS PROBLEMS
NAME
DATE
CHAPTER 5
5.1 Vectors
5.2 Friction
1. Find the horizontal and vertical components of
the following vectors.
a. 50 N @ 53° North of East
b. 50 N @ 53° South of West
c. 30 N @ 30° North of East
d. 60 N @ 60° South of East
2. Find the sum of the following vectors
algebraically and graphically.
a. 15 m/s, West + 20 m/s, East
b. 30 m/s, North + 20 m/s, North
c. 25 m/s, up + 25 m/s, down
d. 30 m/s, South + 20 m/s, North
e. 450 m/s, West + 250 m/s, East
3. Find the sum of the following vectors
algebraically and graphically.
a. 24 N, North + 12 N, South + 16 N, North
b. 12 N, W + 12 N, N + 20 N, @ 45° N of E
c. 12 N, N + 16 N, E + 20 N, @ 45° S of W
d. 25 N, 37° N of W + 25 N, 37° N of E +
+ 15 N, South
4. While biking along a country trail, the bikers
found themselves 24 km south and 24 km east
from their starting point. Find the magnitude
and direction of their resultant displacement. In
what direction do they need to travel to return
straight to their starting point?
5. What is the net force (magnitude and direction)
acting on the crate?
500 N
400 N
40°
50°
6. What is the net force (magnitude and direction)
acting on the tire?
280 N
60°
280 N
PERIOD
140 N
7. Two workers stood on opposite sides of a tree
limb and pulled on it with a force of 75 N each.
If their ropes each made a 63° angle to the
horizontal, what was the net force on the limb?
8. A horizontal force of 69 N is used to drag a
14 kg crate across a floor with a constant
velocity.
a. What is the amount of friction force on the
crate?
b. What is the coefficient of friction between
the crate and the floor?
9. A car with a mass of 1250 kg brakes to a halt
with a force of 4900 N.
a. What is the coefficient of friction between
the tires and the road?
b. What is the amount of deceleration the car
experiences?
10. A horizontal force of 104 N is used to pull a
sled across the snow. The combined weight of
the sled and its passenger is 867 N. What is the
coefficient of friction between the sled runners
and the snow?
11. To move a 36 kg table across the floor requires
a force of 159 N to start it sliding, but only
125 N to keep it sliding.
a. What is the coefficient of static friction
between the floor and the table leg?
b. What is the coefficient of kinetic friction
between the floor and the table leg?
12. The table mentioned in problem 11 is placed on
pads that reduce the coefficient of static friction
between the legs and the floor to 0.18. What is
the largest force that can be exerted on the table
without it sliding?
13. A 0.17 kg hockey puck slides across the ice with
an initial speed of 21 m/s. It slides to rest 62 m
away.
a. What is the deceleration of the puck?
b. What is the amount of friction on the puck?
c. What is the coefficient of friction between
the puck and the ice?
PHYSICS PROBLEMS
CHAPTER 5
14. Will the coefficient of friction between the puck
and the ice change if the mass of the puck was
NAME
DATE
PERIOD
larger? Explain your answer.
PHYSICS PROBLEMS
CHAPTER 5
NAME
DATE
PERIOD
5.3 Force and Motion in Two Dimensions
15. An object in equilibrium has three forces
exerted on it. A 99.0 N force acts due North,
and a 132 N force acts in a direction of 60°
north of East. What are the magnitude and the
direction of the third force?
16. Five forces act on an object. F1 = 90.0 N,
@ 90°. F2 = 60.0 N, @ 180°. F3 = 75.0 N,
@ 60°. F4 = 120.0 N, @ 270°. F5 = 60.0 N,
@ 0°.
a. What are the magnitude and direction of the
net force?
b. What are the magnitude and direction of the
sixth force that will produce equilibrium?
17. A 168 N sign is supported motionless by two
cables, each make an angle of 22.5° with the
horizontal. What is the amount of tension in
each cable?
18. The same 168 N sign is supported motionless by
two cables, each make an angle of 42.0° with
the horizontal. Now, what is the amount of
tension in each cable?
A
B
19. Joe wishes to hang a sign weighing 7.50 x 102 N
so that cable A attached to the store makes an
angle of 30. 0° with the vertical axis. Cable B is
horizontal and is attached to the next building.
What is the amount of tension in Cable B?
20. An 18 kg suitcase is pulled across the floor at a
constant speed by exerting a force of 43 N at an
angle of 51° with the horizontal. The frictional
force is 27 N.
a. What is the amount of normal force
supporting the suitcase?
b. What is the coefficient due to friction?
21. A 211 N force is pushing a 325 N trunk up a
20.0° incline at a constant velocity.
a. What is the parallel component of the
trunk’s weight?
b. What is the sum of all the forces parallel to
the plane?
c. What is the magnitude and direction of the
friction?
d. What is the coefficient of friction?
51°
20.0°