A force of $5\,N$ acts on a body of mass $5\, kg$ for $1\, second$ 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?

A bomb of $12 \,kg$ explodes into two pieces of masses $4 \,kg $ and $8 \,kg$. The velocity of $8\,kg$  mass is $6 m/sec$. The kinetic energy of the other mass is ............. $\mathrm{J}$

Is kinetic energy a scalar quantity or vector quantity ?

Express

$(a)$ The energy required to break one bond in $DNA$ in $eV$

$(b)$ The kinetic energy of an air molecule $\left(10^{-21} \;J \right)$ In $eV$

$(c)$ The daily intake of a human adult in kilocalories.

If the K.E. of a particle is doubled, then its momentum will

A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses $1\, g$ and $3\;g$. The total K.E. of the fragments is $6.4 \times {10^4}J$. What is the K.E. of the smaller fragment