An object with mass 500 g moves along x-axis with speed v = 4√ x m/s.

Question

An object with mass 500 g moves along x-axis with speed \(v = 4\sqrt{x}\ m/s.\) The force acting on the object is :

(1) 8 N

(2) 5 N

(3) 6 N

(4) 4 N

Answer 1

Correct option is : (4) 4 N

\(\mathrm{F}=\mathrm{M} \times \mathrm{a}\)

\( v=4 \sqrt{x}\)

\( v^{2}=16 x\)

\( 2 v \frac{d v}{d x}=16\)

\( \frac{\mathrm{vdv}}{\mathrm{dx}}=\frac{16}{2}=8\)

\( \mathrm{F}=0.5 \times 8=4 \mathrm{~N}\)