Laws of Motion — Question 2

As we know,

linear momentum (p) = mass (m) x velocity (v)

Given,

p = 0.5 kg m s^-1

m = 50 g

Converting g to kg,

$1000\ \text g = 1\ \text {kg} \\[0.5em] 50\ \text g = (\dfrac{1}{1000}) \times 50 \\[0.5em] \Rightarrow 50\ \text g = 0.05\ \text {kg} \\[0.5em]$

Hence, m = 0.05 kg

Substituting the values in the formula above we get,

$0.5 = 0.05 \times \text v \\[0.5em] \Rightarrow \text v = \dfrac{0.5}{0.05} \\[0.5em] \Rightarrow \text v = \dfrac{0.1}{0.01} \\[0.5em] \Rightarrow \text v = 10\ \text {m s}^{-1}\\[0.5em]$

Hence, velocity = 10 m s^-1