Respuesta :
Answer:
d A ball is rolling down an inclined plane.
Explanation:
When path length is equal to the displacement
then we can say that the motion of the object must be in straight line so that the distance and displacement must be same
SO here we can say
a A ball on the end of a string is moving in a vertical circle.
In circular path distance and displacement is not same
b A toy train is traveling around a circular track.
In circular path distance and displacement is not same
c A train travels 5 miles east before it stops. It then travels 2 miles west.
Net displacement is 3 miles East while distance is 7 miles
d A ball is rolling down an inclined plane.
Here its motion is in straight line so we can say that path length and displacement will be same
e A ball rises and falls after being thrown straight up from the earth's surface.
In this type of to and fro motion path length is not same as displacement
Motion of straight line gives the path length equal the magnitude of the displacement. The path length equal the magnitude of the displacement when a ball is rolling down an inclined plane.
What is path length?
Path length is the length, which is traveled by the object from initial to the final position. Path length is the scalar quantity and its magnitude can not be zero.
Given information-
- a) A ball on the end of a string is moving in a vertical circle- For the circular path the displacement of the body is always less than the distance traveled by it. Thus this is not correct option.
- b) A toy train is traveling around a circular track- As the train rotates around the circular path and for the circular path the displacement of the train is always less than the distance traveled by it. Thus this is not correct option.
- c) A train travels 5 miles east before it stops- In this case the train traveled total 7 miles from its initial position but the displacement of the body (shortest distance between initial to final position) is 3 miles.Thus this is not correct option.
- d) A ball is rolling down an inclined plane- The ball roll down from inclined plane travel some distance. In this case the path length should be equal to the displacement as body only go in straight line.Thus this is correct option.
- e) A ball rises and falls after being thrown straight up from the earth's surface- The displacement in this case is zero but path length has some value. Thus this is not correct option.
Thus the path length equal the magnitude of the displacement when a ball is rolling down an inclined plane.
Learn more about the path length here;
https://brainly.com/question/2820585
