An object of mass $100 \,kg $ is accelerated uniformly from a velocity of $5\, m \,s^{-1}$ to $ 8 \,m \,s^{-1}$ in $6\, s$. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

When a carpet is beaten with a stick, dust comes out of it. Explain.

Two objects of masses $100\, g$ and $200\, g$ are moving along the same line and direction with velocities of $2\, m\, s^{-1}$ and $1\, m\, s^{-1}$, respectively. They collide and after the collision, the first object moves at a velocity of $1.67\, m\, s^{-1}$. Determine the velocity(in $m/s$) of the second object.

A bullet of mass $10\, g$ travelling horizontally with a velocity of $150 \,m \,s^{-1}$ strikes a stationary wooden block and comes to rest in $0.03\, s$. Calculate the distance of penetration of the bullet into the block. Also calculate the magnitude of the force exerted by the wooden block on the bullet.

According to the third law of motion when we push on an object, the object pushes back on us with an equal and opposite force. If the object is a massive truck parked along the roadside, it will probably not move. A student justifies this by answering that the two opposite and equal forces cancel each other. Comment on this logic and explain why the truck does not move.