Dr. S K Jain and Dr. Shailesh K Jain Solutions for Chapter: Force and Laws of Motion, Exercise 5: EXAM PRACTICE QUESTIONS

A force of $0.6 \mathrm{N}$ acting on a body increases its velocity from $5 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ to $6 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ in $2 \mathrm{s}$. Calculate the mass of the body.

An object undergoes an acceleration of $8 \mathrm{m} {\mathrm{s}}^{-2}$ starting from rest. Find the distance travelled in one second.

A $1000 \mathrm{kg}$ vehicle moving with a speed of $10 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ is brought to rest in a distance of $50 \mathrm{m}$ by the application of brakes. Calculate (a) its acceleration, (b) the force acting on the vehicle.

A ball weighing $500 \mathrm{g}$ is thrown vertically upward with a speed of $10 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$. What will be its momentum (a) initially (b) at the highest point?

Find the magnitude of the net force on a $20 \mathrm{kg}$ mass if it accelerates uniformly from $2.5 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ to $5.8 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ in $3 \mathrm{s}$.

A man pushes a box of mass of $50 \mathrm{kg}$ with a force of $80 \mathrm{N}$. What will be the acceleration of the box due to this force?

A man pushes a box of mass of $50 \mathrm{kg}$ with a force of $80 \mathrm{N}$. What would be the acceleration if the mass is halved?

A car 'A' of mass $1500 \mathrm{kg}$, travelling at $25 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ collides with another car 'B' of mass $1000 \mathrm{kg}$ travelling at $15 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ in the same direction. After the collision, the velocity of car A becomes $20 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$. Calculate the velocity of car B after the collision.