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Imagine two carts that are moving along a straight line at the same speed. At first, everything is the same: both carts carry people of the same weight and move with the same velocity. This is what we call uniform motion. In uniform motion, the speed and direction of an object remain the same unless acted upon by an external force.

Therefore, these carts continue moving at a steady rate unless something happens to change their speed or direction. Think of it like coasting on a bike down a smooth hill—unless you pedal or brake, you keep moving at the same pace. But what happens when something like snow starts to fall on the carts? This introduces an interesting twist to uniform motion that we’ll explore.

The relationship between mass and velocity is very important especially when understanding how momentum is conserved. Momentum, which is the product of an object's mass and velocity, must be conserved if no external forces are acting.

For Shyam, snow falls and accumulates on his cart, increasing the total mass. As the mass increases, velocity must decrease to conserve momentum (i.e., if mass goes up, velocity goes down to keep momentum constant). The formula to express this relationship is:

• Initial momentum = Final momentum
• \[ m_0 \cdot v_0 = (m_0 + \text{mass of snow}) \cdot v \]

This equation tells us that while Shyam’s cart accumulates snow, it's like packing on more weight, which slows it down. For Ram, who throws the snow off sideways, his cart does not increase in mass as much, preserving his velocity closer to the original speed.

Even though Ram is throwing snow off his cart, which indeed is a force, this force is directed sideways and not in the direction of the travel of the carts. As a result, the horizontal movement (the direction in which the carts were originally moving) remains unaffected. This action mirrors real-life scenarios like athletes who use their hands to push sideways while maintaining forward momentum.

Ram's action essentially counteracts the effect of the snow accumulating. With less mass on his cart, there is no significant effect of external forces slowing his cart down. This means less resistance and maintaining a higher velocity compared to Shyam, resulting in Ram’s cart having a greater final velocity due to effective management of the forces and masses acting on the system.