Projectile Motion Conceptual Question
Transcript of Projectile Motion Conceptual Question
Conceptual Questions PM.notebook October 21, 2015
1 A cart is rolling at a constant velocity on a flat track. It fires a ball vertically as it moves. After it is fired, what happend to the ball?
A It depends on how fast the cart is moving
B It falls behind the cart.
C It falls in front of the cart
D It falls right back into the cart
Conceptual Questions PM.notebook October 21, 2015
ConcepTest 3.4a Firing Balls IA small cart is rolling at constant velocity on a flat track. It fires a ball straight up
into the air as it moves. After it is fired, what happens to the ball?
1) it depends on how fast the cart is moving2) it falls behind the cart3) it falls in front of the cart4) it falls right back into the cart5) it remains at rest
In the frame of reference of the cart, the ball only has a vertical component of velocity. So it goes up and comes back down. To a ground observer, both the cart and the ball have the same horizontal velocity, so the ball still returns into the cart.
Conceptual Questions PM.notebook October 21, 2015
2 Now the cart isbeing pulled and accelerates along the track. What happens to the vertically fired ball?
A falls behind
B falls in front
C falls back into the cart
D remains at rest
Conceptual Questions PM.notebook October 21, 2015
Now the cart is being pulled along a horizontal track by an external force (a weight hanging over the table edge) and accelerating. It fires a ball straight out of the cannon as it moves. After it is fired, what happens to the ball?
1) it depends upon how much the track is tilted
2) it falls behind the cart3) it falls in front of the cart4) it falls right back into the cart5) it remains at rest
Now the acceleration of the cart is completely unrelated to the ball. In fact, the ball does not have any horizontal acceleration at all (just like the first question), so it will lag behind the accelerating cart once it is shot out of the cannon.
ConcepTest 3.4b Firing Balls II
Conceptual Questions PM.notebook October 21, 2015
3 You drop a package from a plane flying at a constant velocity without air resistance, what happens to the package?
A qickly lags behind the plane while falling
B remains vertically under the plane while falling
C moves ahead of the plane while falling
D slowly lags behind the plane while falling
Conceptual Questions PM.notebook October 21, 2015
ConcepTest 3.5 Dropping a Package
You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will:
1) quickly lag behind the plane while falling2) remain vertically under the plane while falling3) move ahead of the plane while falling4) not fall at all
Both the plane and the package have the same horizontal velocity at the moment of release. They will maintain this velocity in the xdirection, so they stay aligned.
Followup: What would happen if air resistance is present?
Conceptual Questions PM.notebook October 21, 2015
4 From the same height, one ball is dropped and one is fired horizontally at the same time.
Which ball hits the grond first?
A dropped
B fired
C both same time
D depends on height
Conceptual Questions PM.notebook October 21, 2015
ConcepTest 3.6aDropping the Ball IFrom the same height
(and at the same time), one ball is dropped and another ball is fired horizontally. Which one will hit the ground first?
(1) the “dropped” ball(2) the “fired” ball(3) they both hit at the same time(4) it depends on how hard the ball was fired(5) it depends on the initial height
Both of the balls are falling vertically under the influence of gravity. They both fall from the same height. Therefore, they will hit the ground at the same time. The fact that one is moving horizontally is irrelevant – remember that the x and y motions are completely independent !!
Followup: Is that also true if there is air resistance?
Conceptual Questions PM.notebook October 21, 2015
5 Same situation. Which hits the grond with a greater velocity?
A dropped
B fired
C same
D depends on height
Conceptual Questions PM.notebook October 21, 2015
ConcepTest 3.6bDropping the Ball IIIn the previous problem, which ball has the greater velocity at ground level?
1) the “dropped” ball2) the “fired” ball3) neither – they both have the same velocity on impact4) it depends on how hard the ball was thrown
Both balls have the same vertical velocity when they hit the ground (since they are both acted on by gravity for the same time). However, the “fired” ball also has a horizontal velocity. When you add the two components vectorially, the “fired” ball has a larger net velocity when it hits the ground.
Followup: What would you have to do to have them both reach the same final velocity at ground level?
Conceptual Questions PM.notebook October 21, 2015
6 A projectile is lanched from the grond at 30 degrees above the horizontal. Where along the projectile's trajectory, does it have the least speed?
A just after launch
B at highest point
C just before it hits the ground
D speed is constant
Conceptual Questions PM.notebook October 21, 2015
ConcepTest 3.6c Dropping the Ball III
A projectile is launched from the ground at an angle of 30o. At what point in its trajectory does this projectile have the least speed?
1) just after it is launched2) at the highest point in its flight3) just before it hits the ground4) halfway between the ground and the highest point 5) speed is always constant
The speed is smallest at the highest point of its flight path because the ycomponent of the velocity is zero.
Conceptual Questions PM.notebook October 21, 2015
7 Which of 3 punts has the longest hang time? (spends the most time in the air?)
A 1
B 2
C 3
D Same time in air
Conceptual Questions PM.notebook October 21, 2015
8 A cannonball fired on Earth would follow path 2. If the same situation was on the Moon, where g is 1.6 m/s/s, which path would the ball take?
A 1
B 2
C 3
D 4
Conceptual Questions PM.notebook October 21, 2015
9 A spring loaded gun can lanch projectiles at different angles with the same initial velocity. As what angle shold the projectile be fired to produce the greatest range?
A 15
B 30
C 45
D 60
Conceptual Questions PM.notebook October 21, 2015
The springloaded gun can launch projectiles at different angles with the same launch speed. At what angle should the projectile be launched in order to travel the greatest distance before landing?
1) 15°2) 30°3) 45°4) 60°5) 75°
A steeper angle lets the projectile stay in the air longer, but it does not travel so far because it has a small xcomponent of velocity. On the other hand, a shallow angle gives a large xvelocity, but the projectile is not in the air for very long. The compromise comes at 45°, although this result is best seen in a calculation of the “range formula” as shown in the textbook.
ConcepTest 3.9 SpringLoaded Gun
Conceptual Questions PM.notebook October 21, 2015
10 You fire a water balloon using a sling shot at a friend in his 2nd story dorm window. You aim directly at him. As you fire, he drops from his window. What happens?
A The balloon hits himB The balloon flys over his headC The balloon falls below his feet
Conceptual Questions PM.notebook October 21, 2015
http://mit.tv/zPNi81
http://video.mit.edu/watch/monkeyandagun3056/
Conceptual Questions PM.notebook October 21, 2015
Use commas () to separate and
= if you believe they are the same.
Conceptual Questions PM.notebook October 21, 2015
14 Rank from greatest to least for change in velocity
Conceptual Questions PM.notebook October 21, 2015
15 For windows 1,2,3, rank from greatest to least, time
Conceptual Questions PM.notebook October 21, 2015
16 For windows 1,2 &3, Rank speed from greatest to least
Conceptual Questions PM.notebook October 21, 2015
17 For windows 1,2,3, rank acceleration greatest to least
Conceptual Questions PM.notebook October 21, 2015
18 For windows 4,5,6, rank time from greatest to least
Conceptual Questions PM.notebook October 21, 2015
19 For windows 4,5,6, rank speed from greatest to least
Conceptual Questions PM.notebook October 21, 2015
20 For windows 4,5,6, rank the accelerations from greatest to least