The distance covered by a body of mass $5 ext{ g}$ having linear momentum $0.3 ext{ kg m/s}$ in $5 ext{

Question

The distance covered by a body of mass $5 	ext{ g}$ having linear momentum $0.3 	ext{ kg m/s}$ in $5 	ext{ s}$ is:

Accepted Answer

1. **Identify Given Data:** 
   - Mass ($m$) = $5 	ext{ g} = 5 	imes 10^{-3} 	ext{ kg}$.
   - Linear Momentum ($p$) = $0.3 	ext{ kg m/s}$.
   - Time ($t$) = $5 	ext{ s}$.
2. **Identify Relationships:** 
   - Momentum is the product of mass and velocity: $p = mv$ [Source 121].
   - For a body moving with constant momentum (and thus constant velocity), distance is given by $d = v 	imes t$ [Source 41].
3. **Calculate Velocity ($v$):**
   $$ v = \frac{p}{m} = \frac{0.3}{5 	imes 10^{-3}} = \frac{0.3}{0.005} = \frac{300}{5} = 60 	ext{ m/s} $$
4. **Calculate Distance ($d$):**
   $$ d = v 	imes t = 60 	ext{ m/s} 	imes 5 	ext{ s} = 300 	ext{ m} $$

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