Q. A body of mass 4 kg is accelerated upon by a constant force, travel a distance of 5 m in the first second and a distance of 2 m in the third second. The force acting on the body is

A) 2 N
B) 4 N
C) 6 N
D) 8 N
Explanation

(c) Distance travelled by the body in $n^{th}$ second is given by
$S_{n} = u + \frac{a}{2}(2n - 1)$
$5 = u + \frac{a}{2}(2 \times 1 - 1)$
$5 = u + \frac{a}{2}\ \ \ \ \ \ldots..(i)$
$2 = u + \frac{a}{2}(2 \times 3 - 1)$
$2 = u + \frac{5}{2}a\ldots.(ii)$
Solving Eqs. (i) and (ii), we get
$a = - \frac{6}{4}{ms}^{- 2}$
$ie,\ body\ $is decelerating
$Given,\ \ mass = 4kg$
$\therefore F = m \times a = 4 \times \frac{6}{4} = 6\ N$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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