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Question
If a constant force acts on a particle, its acceleration will ______________ .
Options
remain constant
gradually decrease
gradually increase
be undefined
Solution
gradually decrease
If a constant force is acting on a particle, the force will tend to accelerate the particle and increase its speed. But, due to increase in speed, the mass of the particle will increase by the relation \[m = \frac{m_o}{\sqrt{1 - \frac{v^2}{c^2}}}\] leading to decrease in acceleration as constant force is acting. Therefore, after sometime its acceleration will start decreasing gradually.
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