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 step by step, we will apply the principle of conservation of momentum.

### Step 1: Understand the initial conditions
The trolley has a mass of 300 kg and carries a sandbag of 25 kg. The initial speed of the trolley is given as 27 km/h.

### Step 2: Convert the speed to meters per second
Since we typically work in SI units, we need to convert the speed from km/h to m/s.
- \( 27 \text{ km/h} = \frac{27 \times 1000 \text{ m}}{3600 \text{ s}} = 7.5 \text{ m/s} \)
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