Two bodies $A$ and $B$ of masses $100 \mathrm{gm}$ and $400 \mathrm{gm}$ respectively are moving towards each other with speeds $100 \mathrm{cm}/\mathrm{s}$ and $10 \mathrm{cm}/\mathrm{s}$. They suffer a head-on collision and stick together.

What will be the distance travelled by the combined mass after $10 s$,

Two bodies $A$ and $B$ of masses $100 \mathrm{gm}$ and $400 \mathrm{gm}$ respectively are moving towards each other with speeds $100 \mathrm{cm}/\mathrm{s}$ and $10 \mathrm{cm}/\mathrm{s}$. They suffer a head-on collision and stick together.

assuming the two bodies to be originally at the same temperature and specific heat of both the bodies to be $0.1 \mathrm{Joule}/\mathrm{Kg}/\mathrm{C}$, calculate the rise in temperature of the combined mass after the collision.

Two blocks of masses $100 \mathrm{kg}$ and $50 \mathrm{kg}$ are connected by a light string passing over a smooth pulley and rest on two inclined planes as shown in Fig. $7.56$. In which direction would the system move? Find the acceleration of the blocks and the tension in the string.

A roller of mass $500 \mathrm{kg}$ is attached by a light horizontal chain to a tractor of mass $1000 \mathrm{kg}$. The backward force of friction exerted by the ground is $1000 N$. If the system has a forward acceleration of $2.5{ \mathrm{ms}}^{-2}$ calculate

the forward force on the tractor

A roller of mass $500 \mathrm{kg}$ is attached by a light horizontal chain to a tractor of mass $1000 \mathrm{kg}$. The backward force of friction exerted by the ground is $1000 N$. If the system has a forward acceleration of $2.5{ \mathrm{ms}}^{-2}$, calculate the tension in the chain.