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Transcript
Physics 12 WK DCA Review
Forces
1. Construct free-body diagrams for the following physical situations.
a. A ball is dropped from rest from the top
of a building. Assume negligible air
resistance.
b. After being thrown, a football is moving
upwards and rightwards towards the peak
of its trajectory. Assume negligible air
resistance.
c. After reaching a terminal velocity, a
falling skydiver then opens up the
parachute.
d. An air track glider (frictionless) is gliding e. A car is skidding to a stop while traveling
to the right at constant velocity.
to the right.
2. Which of the following are always true of an object that is at equilibrium (balanced forces)? Include all that apply.
a.
All the forces acting upon the object are equal.
b.
The object is at rest.
c.
The object is moving and moving with a constant velocity.
d.
The object has an acceleration of zero.
e.
There is no change in the object's velocity.
f.
The sum of all the forces is 0 N.
g.
All the forces acting upon an object are balanced.
3. Which of the following are never true of an object that is at equilibrium (balanced forces)? Include all that apply.
a.
The object is accelerating.
b.
The object is at rest.
c.
The object is moving in a circle at constant speed.
d.
All the forces acting upon the object are equal.
e.
The object is in free-fall.
f.
The object is falling and has reached its terminal velocity.
g.
There is a net force acting upon the object.
h.
The object is moving and moving with a constant velocity.
i.
The object is at rest.
4. Big Bubba has a mass of 100 kg on the earth. What is Big Bubba's mass on the moon where the force of gravity is approximately
1/6-th that of Earth's? ________ Explain or show your work.
5. How much net force is required to keep a 5-kg object moving rightward with a constant velocity of 2 m/s? ________ Explain or
show your work.
6. TRUE or FALSE: For an object resting upon a non-accelerating surface, the normal force is equal to the force of gravity.
7. Which one(s) of the following force diagrams depict an object moving to the right with constant speed? Write all possible answers
(if any) in the blank: ________________
Explain your answer(s) to this question.
Use the approximation that g=~10 m/s2 to fill
the blanks in the following diagrams.
in
10. A 945-kg car traveling rightward at 22.6 m/s slams on the brakes and skids to a stop (with locked wheels). If the coefficient of
friction between tires and road is 0.972, determine the distance required to stop.
Projectiles
11. Which of the following statements are true of projectiles? List all that apply.
a.
A projectile is a free-falling object.
b.
A projectile experiences negligible or no air resistance.
c.
A projectile must be moving in the downward direction.
d.
A projectile must be accelerating in the downward direction.
e.
A projectile does not have to have horizontal motion.
f.
A projectile could begin its projectile motion with a downward velocity.
g.
A projectile does not need to be "falling."
12. Which of the following statements are true of the time of flight for a projectile? List all that apply.
a.
The time that a projectile is in the air is dependent upon the horizontal component of the initial velocity.
b.
The time that a projectile is in the air is dependent upon the vertical component of the initial velocity.
c.
For a projectile which lands at the same height that it is projected from, the time to rise to the peak is equal to
the time to fall from its peak to the original height.
d.
For the same upward launch angles, projectiles will stay in the air longer if the initial velocity is increased.
e.
Assume that a kicked ball in football is a projectile. If the ball takes 3 seconds to rise to the peak of its
trajectory, then it will take 6 seconds to fall from the peak of its trajectory to the ground.
13. Vector A is directed northward and vector B is directed eastward. Which of the following vector addition diagrams best represent
the addition of vectors A and B and the subsequent resultant?
14. When adding vector B to vector A geometrically (or graphically) using the head to tail method, the resultant is drawn from ____
to the ____.
a. head of A, tail of B
b. tail of A, head of B
c. head of B, tail of A
d. tail of B, head of A
15. The velocity vector of a projectile with a vertical velocity of 25.0 m/s and a horizontal velocity of 18.0 m/s is ___ m/s.
a. 7.00
b. 21.5
c. 30.8
d. 35.8
16. An object is undergoing free fall motion. As it falls, the object's ____.
a. speed increases
b. acceleration increases
c. both of these
d. none of these
17. A football is kicked into the air at an angle of 45 degrees with the horizontal. At the very top of the ball's path, its velocity is ___.
a. entirely vertical
b. entirely horizontal
c. both vertical and horizontal
d. not enough information given to know.
18. A football is kicked into the air at an angle of 45 degrees with the horizontal. At the very top of the ball's path, its acceleration is
_______. (Neglect the effects of air resistance.)
a. entirely vertical
b. entirely horizontal
c. both vertical and horizontal
d. not enough information given to know.
19. A football is kicked into the air at an angle of 45 degrees with the horizontal. At the very top of the ball's path, the net force
acting upon it is _______. (Neglect the effects of air resistance.)
a. entirely vertical
b. entirely horizontal
c. both vertical and horizontal
d. not enough information given to know.
20. At what point in its path is the horizontal component of the velocity (v x) of a projectile the smallest?
a. The instant it is thrown.
b. Halfway to the top.
c. At the top.
d. As it nears the top.
e. It is the same throughout the path.
21. At what point in its path is the vertical component of the velocity (v y) of a projectile the smallest?
a. The instant it is thrown.
b. Halfway to the top.
c. At the top.
d. As it nears the top.
e. It is the same throughout the path.
22. Roll a bowling ball off the edge of a table. As it falls, its horizontal component of velocity ___.
a. decreases
b. remains constant
c. increases
23. A bullet is fired horizontally and hits the ground in 0.5 seconds. If it had been fired with twice the speed in the same direction, it
would have hit the ground in ____. (Assume no air resistance.)
a. less than 0.5 s.
b. more than 0.5 s.
c. 0.5 s.
24. A projectile is launched at an angle of 15 degrees above the horizontal and lands down range. For the same speed, what other
projection angle would produce the same downrange distance?
a. 30 degrees.
b. 45 degrees.
c. 50 degrees.
d. 75 degrees
e. 90 degrees.
25. Two projectiles are fired at equal speeds but different angles. One is fired at angle of 30 degrees and the other at 60 degrees.
The projectile to hit the ground first will be the one fired at (neglect air resistance) ____.
a. 30 degrees
b. 60 degrees
c. both hit at the same time
26. Consider the trajectory diagram shown below for a horizontally launched projectile. On the diagram, draw vector arrows
representing the vx and vy velocity components during the course of the motion. The length of the arrows should represent the
magnitude of the velocity components. Label each component. (Note that the velocity components are already shown for the first
position.)
27. Consider the trajectory diagram shown below for a non-horizontally launched projectile. On the diagram, draw vector arrows
representing the vx and vy velocity components during the course of the motion. The length of the arrows should represent the
magnitude of the velocity components. Label each component. (Note that the velocity components are already shown for the first
position.)
28. The launch velocity and angle is given for three different projectiles. Use trigonometric functions to resolve the velocity vectors
into horizontal and vertical velocity components. Then use kinematic equations to determine the time that the projectile is in the air,
the height to which it travels (when it is at its peak), and the horizontal distance that it travels.
29. If a projectile is launched horizontally with a speed of 12.0 m/s from the top of a 24.6-meter high building. Determine the
horizontal displacement of the projectile.
30. A projectile is launched with an initial speed of 21.8 m/s at an angle of 35.0-degrees above the horizontal.
(a) Determine the time of flight of the projectile.
(b) Determine the peak height of the projectile.
(c) Determine the horizontal displacement of the projectile.
31. A projectile is launched horizontally from the top of a 45.2-meter high cliff and lands a distance of 17.6 meters from the base of
the cliff. Determine the magnitude of the launch velocity.