Physics
Draw graphs to show the dependence of (i) acceleration on force for a constant mass, and (ii) force on mass for a constant acceleration.
Laws of Motion
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Answer
(i) The acceleration produced in a body of given mass is directly proportional to the force applied on it. i.e.,
a ∝ F (if mass remains constant)
The graph plotted for acceleration on force for a constant mass is as shown below —

(ii) The force needed to produce a given acceleration in a body is proportional to the mass of the body. i.e.,
F ∝ m (if acceleration remains the same)
The graph plotted for force on mass for a constant acceleration is shown below —

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