Let’s break down the solution step by step:
Step 1:
We are given:
Mass of the object \( m = 500 \text{ g} = 0.5 \text{ kg} \)
Initial velocity \( u = 200 \text{ cm/s} = 2 \text{ m/s} \)
Final velocity \( v = 0.2 \text{ m/s} \)
Step 2:
The change in momentum \( \Delta p \) is calculated as:
\[
\Delta p = m(v - u) = 0.5 \times (0.2 - 2) = 0.5 \times (-1.8) = -0.9 \, \text{kg m/s}
\]
Step 3:
Thus, the momentum decreases by 0.90 kg m/s. Therefore, the correct answer is (4).