Download Name Practice Test: 2 dimensional Motion 1. Using the following

Name ____________________________
Practice Test: 2 dimensional Motion
1. Using the following table
Horizontal
0 m/s/s
2.4 m
Vertical
=a=
= vi =
= x=
-9.81 m/s/s
0 m/s
-12.3 m
a. Solve for the time:
b. Solve for the horizontal initial velocity
2. An airplane is dropping supplies to a stranded party of hikers. The plane is flying horizontally at 60.0 m/s at a height
of 80.0 m above the ground.
a. How far before the hikers should the plane release the supplies?
b. What is the horizontal component of the supply's velocity when they reach the ground?
c. What is the vertical component of the supply's velocity when they reach the ground?
d. What is the total velocity of the supplies when they reach the ground?
3. Streams of water in a fountain shoot from one level to the next. A specific particle of water takes 1.80 s to travel
between the first and second level. They are a horizontal distance of 4.9 m away. If the water is projected at an angle of
33 degrees, what is the initial speed of the particle?
4. If a steel ball is shot out of a projectile launcher at 5.2 m/s at a 50 degree angle from a height of 1.34 meters above
the floor, where should a cup be placed so that the ball will land directly in it?
5. A baseball player hits a home run which just clears a 14.7 m high wall located 140.0 m from home plate. The ball is
hit at an angle of 48 degrees above the horizontal from a height of .90 m.
a. How long is the ball in the air?
b. What is the initial speed of the ball?
c. What is the velocity of the ball when it reaches the wall?
6. A 1.0 kg ball is set on an incline that makes an 75 degree angle with the horizontal. Draw a free body diagram
showing all forces acting on the ball
a. Solve for the magnitude and direction of Fg
b. Solve for the magnitude and direction of Fgy
c. Solve for the magnitude and direction of Fgx
d. Solve for the magnitude and direction of FN
e. Solve for the magnitude and direction of Ff if μ = 0.1
f. Solve for the magnitude and direction of Fnet if μ = 0.1
g. Solve for the magnitude and direction of the acceleration if μ = 0.1
7. A 60 kg skier slides down a 44 degree slope. There is a coefficient of friction of .02 between the skis and the snow.
a. draw a picture showing all forces acting on the skier and label each with a correct name.
b. Solve for the magnitude and direction of Fg
c. Solve for the magnitude and direction of Fgy
d. Solve for the magnitude and direction of Fg
e. Solve for the magnitude and direction of FN
f. Solve for the magnitude and direction of Ff
g. Solve for the magnitude and direction of Fnet
h. Solve for the magnitude and direction of the acceleration.
i. How fast would the skier be moving at the bottom of the 200 m long slope.
8. A 75 kg box is pushed across the floor that has a coefficient of friction of .27 by an applied force of 569 N applied at
15 degrees below the horizontal. Draw a free body diagram labeling all horizontal and vertical forces on the box.
b. solve for the weight of the box.
c. solve for the vertical component of the applied force.
d. solve for the normal force
e. solve for the frictional force
f. solve for the horizontal component of the applied force
g. solve for the net force
h. solve for the acceleration of the box
9 A 5 kg box is pulled across the floor by means of a rope. The floor has a coefficient of friction of .16 . The tension
force in the rope is 499 N directed at 5 degrees above the horizontal. Draw a free body diagram labeling all horizontal
and vertical forces on the box.
b. solve for the weight of the box.
c. solve for the vertical component of the tension force.
d. solve for the normal force
e. solve for the frictional force
f. solve for the horizontal component of the tension force
g. solve for the net force
h. solve for the acceleration of the box
10. A 2000 kg car is pulled from in front by two people. Person A pulls with 600 N of force directed at 10 degrees above
the horizontal. And person B pulls with 450 N of force directed at 20 degrees above the horizontal. The coefficient of
friction between the road and the car is 0.17. Draw a free body diagram labeling all horizontal and vertical forces on the
car.
b. solve for the weight of the car.
c. solve for the vertical components of the two applied forces. A=
B=
d. solve for the normal force
e. solve for the frictional force
f. solve for the horizontal components of the two applied forces. A=
B=
g. solve for the net force
h. solve for the acceleration of the car.
11. A 200 kg trunk is to be slowly lowered down a 30 degree ramp ramp by a person holding a rope with 700N of
tension force directed downward at 20 degrees below the ramp. There is a coefficient of friction of .11 between the
trunk and the ramp. Draw a free body diagram labeling all forces acting on the trunk perpendicular and parallel to the
ramp.
b. Solve for the magnitude and direction of Fg
c. Solve for the magnitude and direction of Fgy
d. solve for the vertical component of the applied force.
e. solve for the normal force
d. solve for the frictional force
e. Solve for the magnitude and direction of Fgx
f. solve for the horizontal component of the applied force
g. solve for the net force
h. solve for the acceleration of the trunk.
i. How long will it take to push the trunk up the 8 m long ramp?