A trolley of mass 300 ks carrying a sand bag of 25 kg is moving uniformly with a speed of `27km//h` on a frictionless track. After a while, sand starts leaking out of a hole on the trolley's floor at the rate of `0.05kgs^(-1)`. What is the speed of the trolley after the entire sand bag is empty ?

Explanation

To solve the problem, we will use the principle of conservation of momentum. Here's the step-by-step solution:

### Step 1: Understand the Initial Conditions
The initial mass of the trolley (m_trolley) is 300 kg, and the mass of the sand bag (m_sand) is 25 kg. The initial speed (v_initial) of the trolley is given as 27 km/h.

### Step 2: Convert Speed to SI Units
Since we need to work in SI units, we convert the speed from km/h to m/s:
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