Physics Questions

2007-09-21 1:26 am
Show the steps very clearly and explain clearly.

1. An ant walks on a piece of paper. It walks for 5cm, 3cm and 4cm in 3 different time intervals. Which of the following statements is /are correct?
(1) Its displacement can be zero.
(2) The magnitude of its displacement cannot be greater than 12cm.
(3) Its distance travelled can be smaller than 12cm.

2. A car travels for two hours from R to S and then another three hours from S to T.
更新1:

Find the average speed and the magnitude of the average velocity of the car in the journey. Given that: RS is 80km, ST is 60km and RT is the longest one.

更新2:

Why Q.1 Statement one is correct, its displacement isn't 5cm?????

更新3:

Why Q.1 Statement one is correct, its displacement is not 5cm?????

回答 (1)

2007-09-21 2:46 am
✔ 最佳答案
1)
The min. displacement=-5-3-4=-12cm
The max. displacement=5+3+4=12cm
Therefore, the range of the displacement:
-12cm<displacemet<12cm
So, (1) and (2) are correct.

(3) is incorrect.Since distance is not a vector, distance is the length you travel, in this case, the distance must be equal to 12cm.

2)
Average speed=Total distance/time used
Average speed=(80+60)/(2+3)=28m/s

Average velocity=Displacement/time used
Average velocity=RT/5
I think it should have a figure to show the length of RT, right?

I believe you confusing the concepts of displacement and distance, don't you?
What you have to know is that displacement just consider the starting point to the final point while the distance consider all the length the object travel.

For instance, I move forwards 10m and then move backwards 8m, what is the displacement I travelled?My displacement is 10-8=2m, I am at the position which is in front of my starting point 2m.However, the distance I travelled is 8+10=18m, I move 18m in total.

2007-09-20 18:51:43 補充:
Q1 statement 1 is correct.Just try your very best to think, in this case, no direction is told, the ant can travel the 5cm, 3cm, 4cm in all direction, then if the ant move forwards 5cm in the first interval.

2007-09-20 18:52:02 補充:
Then keep on moving 1cm and backwards 2cm in the second interval, now the displacement is 4cm(5cm 1cm-2cm), in the third interval the ant move backwards 4cm, then the total displacement is zero(4cm-4cm).

2007-09-20 18:54:39 補充:
The figure:backward<-----> forwardAnt=====>5cm in the first interval=>1cm,<==2cm in the second interval<====4cm in the third intervalThen the displacement=5 1-2-4=0cm


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