A bullet of mass $5 \mathrm{g}$ travels with a speed of $500 {\mathrm{ms}}^{-1}$. If it penetrates a fixed target which offers a constant resistive force of $1000 \mathrm{N}$ to the motion of the bullet, find the initial kinetic energy of the bullet.

A bullet of mass $5 \mathrm{g}$ travels with a speed of $500 {\mathrm{ms}}^{-1}$. If it penetrates a fixed target which offers a constant resistive force of $1000 \mathrm{N}$ to the motion of the bullet find the distance through which the bullet has penetrated. 

A bullet of mass $10 \mathrm{g}$ travelling with a speed of $200 {\mathrm{ms}}^{-1}$ penetrates a wooden block of thickness $50 \mathrm{cm}$which offers a constant resistive force of $200 \mathrm{N}$ to slow down the bullet. Find the speed with which the bullet emerges out of the block.

A truck weighing $1000 \mathrm{kgf}$ changes its speed from $36 {\mathrm{kmh}}^{-1}$to $72 {\mathrm{kmh}}^{-1}$ in $2$ minutes. Calculate the work done by the engine.

A truck weighing $1000 \mathrm{kgf}$ changes its speed from $36 {\mathrm{kmh}}^{-1}$to $72 {\mathrm{kmh}}^{-1}$ in $2$ minutes. Calculate its power.