- Home
- Standard 11
- Physics
4-1.Newton's Laws of Motion
medium
A constant retarding force of $50\; N$ is applied to a body of mass $20\; kg$ moving initially with a speed of $15\; m/s$. How long (in $sec$) does the body take to stop ?
A
$6$
B
$5$
C
$3$
D
$8$
Solution
Retarding force, $F=-50 \,N$
Mass of the body, $m=20 \,kg$
Initial velocity of the body, $u=15 \,m / s$
Final velocity of the body, $v=0$
Using Newton's second law of motion, the acceleration ( $a$ ) produced in the body can be calculated as:
$F=m a$
$-50=20 \times a$
$\therefore a=\frac{-50}{20}=-2.5 \,m / s ^{2}$
Using the first equation of motion, the time ( $t$ ) taken by the body to come to rest can
be calculated as: $v=u+a t$
$\therefore t=\frac{-u}{a}=\frac{-15}{-2.5}=6\;s$
Standard 11
Physics
Similar Questions
medium