A force of 5,N acts on a body of mass 5,kg fo | vedclass

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(B) Given: Force $F = 5\,N$,Mass $m = 5\,kg$. Acceleration $a = F/m = 5/5 = 1\,m/s^2$.Case $1$: Time $t = 1\,s$. Initial velocity $u = 0$. Final veloc

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$p < p', E < E'$

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(B) Given: Force $F = 5\,N$,Mass $m = 5\,kg$. Acceleration $a = F/m = 5/5 = 1\,m/s^2$.Case $1$: Time $t = 1\,s$. Initial velocity $u = 0$. Final velocity $v_1 = u + at = 0 + (1)(1) = 1\,m/s$. Momentum $p = mv_1 = 5 	imes 1 = 5\,kg\cdot m/s$. Kinetic energy $E = \frac{1}{2}mv_1^2 = \frac{1}{2} 	imes 5 	imes (1)^2 = 2.5\,J$.Case $2$: Displacement $s = 1\,m$. Using $v_2^2 - u^2 = 2as$,$v_2^2 = 0 + 2(1)(1) = 2$,so $v_2 = \sqrt{2} \approx 1.414\,m/s$. Momentum $p' = mv_2 = 5 	imes 1.414 = 7.07\,kg\cdot m/s$. Kinetic energy $E' = \frac{1}{2}mv_2^2 = \frac{1}{2} 	imes 5 	imes 2 = 5\,J$.Comparing the values: $p = 5$ and $p' = 7.07$,so $p Therefore,the correct relation is $p < p'$ and $E < E'$.

$A$ force of $5\,N$ acts on a body of mass $5\,kg$ for $1\,s$ and gives it a momentum $p$ and kinetic energy $E$. If the same force accelerates the same body through $1\,m$,the momentum and energy attained by the body are $p'$ and $E'$ respectively. Which of the following relations is correct?

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