Question

How long would a force of 30N act on a body of mass 10kg so that the body gains a velocity of 24 ms-1?​

Answer 1

$\sf\fbox{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:Answer\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}$

$\bold\pink{Given:}$

$\sf{Mass\: of \:body = 10\: kg}$

$\sf{Force \: experienced = 30\: N}$

$\sf{Initial \: Velocity = 0\: m/s}$

$\sf{Final \: Velocity = 24 \:m/s}$

$\bold\pink{To\:Find:}$

$\sf{Time \: for \: which \: force \: acts \: on \: the \: body}$

$\bold\pink{Solution:}$

Formula of Acceleration,

$\small\underline{\boxed{\sf\;\;Acceleration = \frac{Force}{mass}}}$

$\sf{\implies Acceleration = \dfrac{30}{10}}$

$\sf{\implies Acceleration = 3\: m/s^2}$

Using First Equation of Motion,

$\small\underline{\boxed{\sf\;\;v = u + at}}$

$\sf{\implies 24 = 0 + (3)t}$

$\sf{\implies 3t = 24}$

$\sf{\implies t = 8\: seconds}$

$\sf{Hence,}$

$\sf{ The \: force \: acted \: for \: 8 \: seconds \: on \: the \: body}$