For each of the following scenarios, either give an example to show how it is po
ID: 1655777 • Letter: F
Question
For each of the following scenarios, either give an example to show how it is possible or explain why it is impossible. (a) An object is speeding up and the x-component of its acceleration is positive. (b) An object is speeding up and the x-component of its acceleration is negative. (c) An object is speeding up and its acceleration is zero. (d) An object is speeding up and its acceleration is decreasing. (e) An object is maintaining constant speed and its acceleration is not zero. (f) An object is maintaining constant velocity and its acceleration is not zero. (g) An object's velocity is zero and its acceleration is not zero. (h) An object is moving upward and its acceleration is zero.Explanation / Answer
(a) An object sliding freely on an inclined plan due to gravitaion on the positive XY- plan, in which case, x- component of the acceleration is positive.
(b) The stretched elastic spring-mass system on a table, will compressed freely. In this case, if the stetching is happened in postive X- direction, it will be the compressed to come to normal position. On compression, It can be understood that mass is accelerating but in negative X- direction. So it's x- compoenet of acceleration is Negative.
(c) It is imposible. Acceleration is defined as rate of change of velocity. As the object is speeding up, it's velocity increases. SO acceleration also increases.
(d) Consider a suspended spring mass mass system. On pulling down the mass and leaving, the mass compressing and moves up. At this case, the speed increases on moving up, but acceleration is decreases
(f) If the object moves with constant speed, but it's direction changes, then it's acceleration is not zero. A body moving in cirular direction may have constant speed, but it's direction is changing. So acceleration changes.
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