A body of mass $10 \mathrm{~kg}$ has constant velocity of $10 \mathrm{~m} \mathrm{~s}^{-1}$. A constant force is applied for a duration of $4 \mathrm{~s}$ on the object and gives it a speed of $2 \mathrm{~m} \mathrm{~s}^{-1}$ in opposite direction. Then, find acceleration produced in it.

Question

A body of mass $10 \mathrm{~kg}$ has constant velocity of $10 \mathrm{~m} \mathrm{~s}^{-1}$. A constant force is applied for a duration of $4 \mathrm{~s}$ on the object and gives it a speed of $2 \mathrm{~m} \mathrm{~s}^{-1}$ in opposite direction. Then, find acceleration produced in it., $3 \mathrm{~ms}^{-2}$, $-3 \mathrm{~ms}^{-2}$, $0.3 \mathrm{~ms}^{-2}$, $-0.3 \mathrm{~ms}^{-2}$

MARKS App · Accepted Answer

Mass of body, $m=10 \mathrm{~kg}$ Velocity, $v=10 \mathrm{~ms}^{-1}$ $t=4 \mathrm{~s}$ Final velocity of the body, $v=-2 \mathrm{~ms}^{-1}$ Since, final velocity of the body decreases on application of constant force, hence acceleration is negative. By first equation of motion, $\Rightarrow \quad \begin{aligned} & v=u+a t \ & \quad a=\frac{v-u}{t}=\frac{-2-10}{4}=-\frac{12}{4}=-3 \mathrm{~ms}^{-2} \end{aligned}$

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