Define the following terms with examples: (i) fundamental (ii) derived (iii) supplementary quantities. Show that the equations below are either correct or otherwise: (i) v = u + 2a... Define the following terms with examples: (i) fundamental (ii) derived (iii) supplementary quantities. Show that the equations below are either correct or otherwise: (i) v = u + 2as (ii) s = ut + ½at². State that the period T of a swinging pendulum depends only on the length of the pendulum and the acceleration due to gravity g. What are the dimensions of the variables?
Understand the Problem
The question consists of several parts, asking for examples of fundamental, derived, and supplementary quantities in physics, the correction of given equations, and the dimensions of variables related to the period of a swinging pendulum.
Answer
"v = u + 2as" is incorrect, "s = ut + ½at²" is correct. Pendulum period T depends on length and gravity. Dimensions: Length [L], Time [T].
The equations v = u + 2as is incorrect, s = ut + ½at² is correct. Period T of a pendulum depends on length L and gravity g. Dimensions are: Length [L], Time [T], Acceleration [L/T²], Velocity [L/T], Period [T].
Answer for screen readers
The equations v = u + 2as is incorrect, s = ut + ½at² is correct. Period T of a pendulum depends on length L and gravity g. Dimensions are: Length [L], Time [T], Acceleration [L/T²], Velocity [L/T], Period [T].
More Information
The correct form for the first equation is derived from Newton's equations and provides a correct relation between velocity, acceleration, and displacement. The pendulum's period is a fundamental example of simple harmonic motion, depending only on length and gravitational force.
Tips
Avoid mixing up the kinematic equations' forms and pay attention to the derivation of each.
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