A body of mass 4 kg is acted on by a force which varies as shown in the graph below. The momentum acquired is

Question

A body of mass 4 kg is acted on by a force which varies as shown in the graph below. The momentum acquired is (A) 280 N-s (B) 140 N-s (C) 70 N-s (D) 210 N-s

Tardigrade Admin · Accepted Answer

Change in momentum =∫ Fdt = area under F - t curve =10 × 5+1 / 2 × 4 × 10=70 N - s at x=1, (d2 U/d x2) < 0 ⇒ unstable equilibrium

Q. A body of mass $4 k g$ is acted on by a force which varies as shown in the graph below. The momentum acquired is

280 N-s

140 N-s

70 N-s

210 N-s

Change in momentum
$= \int F d t =$ area under $F - t$ curve
$= 10 \times 5 + 1/2 \times 4 \times 10 = 70 N^{- s}$
at $x = 1, \frac{d ^{2} U}{d x ^{2}} < 0$
$\Rightarrow$ unstable equilibrium

Q. A body of mass 4kg is acted on by a force which varies as shown in the graph below. The momentum acquired is