
Concept explainers
(a)
The dimension of the train moving along a flat, straight track.
(a)

Answer to Problem 1PQ
The motion of the train moving along a flat, straight track is one-dimensional.
Explanation of Solution
The motion of an object can be one-dimensional or multi-dimension and is depending on the path of the object.
- 1. If the motion of an object occurs along a straight line and only one coordinate is required to describe the position of the object, then it is one-dimensional motion.
- 2. If the motion of an object occurs along a curved path and two coordinates are required to describe the position of the object (x-axis and y-axis), then it is a two-dimensional motion.
- 3. If the motion of an object requires three co-ordinates (x, y and z-axes) to describe the position of the object, then it is a three-dimensional motion.
Here, the train is moving in one direction along a flat, straight track. The motion of the train can be explained using one axis, Therefore, the motion of the train moving along a flat, straight track is one-dimensional.
(b)
The dimension of the train that is moving in flat, straight track and then reverses direction.
(b)

Answer to Problem 1PQ
The motion of the train that is moving in a flat, straight track and then reverses direction is one-dimensional.
Explanation of Solution
Here, the train is moving in one direction along a flat, straight track; started to move in the reverse direction along the same straight track. The motion of the train can be explained in one-dimension whether in forward or backward direction.
Therefore, the motion of the train that is moving in a flat, straight track and then reverses its direction is one-dimensional.
(c)
The dimension of the train moves in one direction along a straight, downhill track.
(c)

Answer to Problem 1PQ
The dimension of the train moves in one direction along a straight, downhill track.
Explanation of Solution
Here, the train is moving in one direction along a straight, downhill track. The motion of the train can be explained in one-dimension as the track is downhill but still it is a straight line and the motion of the train can be described using a single axis.
Therefore, the motion of the train moving in one direction along a straight, downhill track is one-dimensional.
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Chapter 4 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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