cq_1_181

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PHY201

Your 'cq_1_18.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.

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A child in a slowly moving car tosses a ball upward. It rises to a point below the roof of the car and falls back down, at which point the child catches it. During this time the car neither speeds up nor slows down, and does not change direction.

What force(s) act on the ball between the instant of its release and the instant at which it is caught? You can ignore air resistance.

answer/question/discussion: ->->->->->->->->->->->-> :

Gravity, the force of the boy throwing it in the air. I don't think the movement of the car is an issue because the ball isn't really moving forward even though the car is. If the car were to speed up or slow down it would have an impact on the ball.

On the given interval the force has already done its work and is no longer acting.

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What happens to the speed of the ball between release and catch? Describe in some detail; a graph of speed vs. clock time would also be appropriate.

answer/question/discussion: ->->->->->->->->->->->-> :

the ball would gradually slow down until it reaches it highest point at which the acceleration would reach zero then as the ball returned to the boy it would increase in acceleration

acceleration never changes; it's velocity that reaches 0, the increases in the downward direction

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Describe the path of the ball as it would be observed by someone standing along the side of the road.

answer/question/discussion: ->->->->->->->->->->->-> :

it would be similar to someone pitching the ball and you saw it. the ball would be moving with the car so to that person it would look like the ball was moving as fast as the car from it upward position and then down to the boys hand.

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How would the path differ if the child was coasting along on a bicycle? What if the kid didn't bother to catch the ball? (You know nothing about what happens after the ball makes contact with the ground, so there's no point in addressing anything that might happen after that point).

answer/question/discussion: ->->->->->->->->->->->-> :

with the fact that wind resistance would have an issue now the ball would appear to come back at the boy. then the ball would hit him.

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What if the child drops the ball from the (inside) roof of the car to the floor? For the interval between roof and floor, how will the speed of the ball change? What will be the acceleration of the ball? (You know nothing about what happens after the ball makes contact with the floor, so there's no point in addressing anything that might happen after that point).

answer/question/discussion: ->->->->->->->->->->->-> :

the ball acceleration would increase at an increasing rate. the acceleration would be 9.8m/s^2.

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What if the child holds the ball out of an open window and drops it. If the ball is dense (e.g., a steel ball) and the car isn't moving very fast, air resistance will have little effect. Describe the motion of the ball as seen by the child. Describe the motion of the ball as seen by an observer by the side of the road. (You know nothing about what happens after the ball makes contact with the ground, so there's no point in addressing anything that might happen after that point).

answer/question/discussion: ->->->->->->->->->->->-> :

it would probably drop straight down from from where he dropped. the ball to the child would appear to go backward before hitting the ground. an observer would see the ball drop straight down from where it was dropped.

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10 minutes

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A child in a car tosses a ball upward so that after release it requires 1/2 second to rise and fall back into the child's hand at the same height from which it was released. The car is traveling at a constant speed of 10 meters / second in the horizontal direction.

Between release and catch, how far did the ball travel in the horizontal direction?

answer/question/discussion: ->->->->->->->->->->->-> :

.5*10=5 m

.5*9.8= 4.9

5+4.9=9.9m

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As observed by a passenger in the car, what was the path of the ball from its release until the instant it was caught?

answer/question/discussion: ->->->->->->->->->->->-> :

horizontal

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Sketch the path of the ball as observed by a line of people standing along the side of the road. Describe your sketch. What was shape of the path of the ball?

answer/question/discussion: ->->->->->->->->->->->-> :

it would look like a rolling hilling going up gradually while moving forward and then down until it meets the boys hand

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How fast was the ball moving in the vertical direction at the instant of release? At that instant, what is its velocity as observed by a line of people standing along the side of the road?

answer/question/discussion: ->->->->->->->->->->->-> :

0= v0

10m/s horizontal

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How high did the ball rise above its point of release before it began to fall back down?

answer/question/discussion: ->->->->->->->->->->->-> :

.25*9.8=2.45 meters up

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10 minutes

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Good descriptions. Not all answers are correct, so for the first document, check the discussion at the link given below.

&#See any notes I might have inserted into your document, and before looking at the link below see if you can modify your solutions. If there are no notes, this does not mean that your solution is completely correct.

Then please compare your old and new solutions with the expanded discussion at the link

Solution

Self-critique your solutions, if this is necessary, according to the usual criteria. Insert any revisions, questions, etc. into a copy of this posted document. Mark any insertions with &&&& so they can be easily identified.

If your solution is completely consistent with the given solution, you need do nothing further with this problem. &#

For the second:

&#See any notes I might have inserted into your document, and before looking at the link below see if you can modify your solutions. If there are no notes, this does not mean that your solution is completely correct.

Then please compare your old and new solutions with the expanded discussion at the link

Solution

Self-critique your solutions, if this is necessary, according to the usual criteria. Insert any revisions, questions, etc. into a copy of this posted document. Mark any insertions with &&&& so they can be easily identified.

If your solution is completely consistent with the given solution, you need do nothing further with this problem. &#