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For motion in 3 dimensions we need
- a)No frame of reference is required ; a set of 3 points will do.
- b)Frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labeled X-, and Y- axes
- c)Frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labeled X-, Y-, and Z- axes
- d)No frame of reference is required a single point will do.
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
For motion in 3 dimensions we needa)No frame of reference is required ...
Explanation:Motion is a change in position of an object with time. In order to specify position, we need to use a reference point and a set of axes. It is convenient to choose a rectangular coordinate system consisting of three mutually perpenducular axes, labelled X-, Y-, and Z- axes.
The point of intersection of these three axes is called origin (O) and serves as the reference point. The coordinates (x, y. z) of an object describe the position of the object with respect to this coordinate system.
To measure time, we position a clock in this system. This coordinate system along with a clock constitutes a frame of reference.
Most Upvoted Answer
For motion in 3 dimensions we needa)No frame of reference is required ...
Motion in 3 Dimensions - Explanation
Introduction:
Motion in 3 dimensions refers to the movement of objects or particles in three-dimensional space, which includes length, width, and height. To describe such motion accurately, a frame of reference is required. Let's discuss the options provided and understand why option 'C' is the correct answer.
a) No frame of reference is required; a set of 3 points will do:
This option suggests that only three points are sufficient to describe the motion in 3 dimensions. However, without a frame of reference, it would be impossible to determine the exact position, velocity, or acceleration of the object in motion. Hence, this option is incorrect.
b) Frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labeled X- and Y- axes:
This option suggests the use of a two-dimensional Cartesian coordinate system, which includes only the X and Y axes. While this frame of reference can describe motion in a plane, it is insufficient for capturing motion in 3 dimensions. Therefore, this option is also incorrect.
c) Frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labeled X-, Y-, and Z- axes:
This option describes a three-dimensional Cartesian coordinate system, which is commonly used to represent motion in 3 dimensions. The X, Y, and Z axes provide the necessary spatial orientation to define the position, velocity, and acceleration of an object. This frame of reference allows us to accurately describe 3-dimensional motion. Hence, option 'C' is the correct answer.
d) No frame of reference is required; a single point will do:
This option suggests that a single point is enough to describe the motion in 3 dimensions. However, without a frame of reference, it is impossible to determine the position, velocity, or acceleration of the object accurately. Therefore, this option is incorrect.
Conclusion:
To accurately describe motion in 3 dimensions, a frame of reference consisting of a clock and a Cartesian coordinate system with three mutually perpendicular axes (X, Y, and Z) is required. This allows us to precisely determine the position, velocity, and acceleration of an object moving in 3-dimensional space.
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For motion in 3 dimensions we needa)No frame of reference is required ; a set of 3 points will do.b)Frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labeled X-, and Y- axesc)Frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labeled X-, Y-, and Z- axesd)No frame of reference is required a single point will do.Correct answer is option 'C'. Can you explain this answer?
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