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4-1.Newton's Laws of Motion
medium
A body of mass $500\,g$ moves along $x$-axis such that it's velocity varies with displacement $x$ according to the relation $v =10 \sqrt{ x } m / s$ the force acting on the body is $...........\,N$
A
$166$
B
$25$
C
$125$
D
$5$
(JEE MAIN-2023)
Solution
$v =10 \sqrt{ x } \Rightarrow v ^2=100 x$
$2 v \frac{ dv }{ dx }=100 \Rightarrow a =50\,m / s ^2$
$F =25\,N$
Standard 11
Physics
