Question: 22: The distance covered by a body of mass 5 g having linear momentum 0.3 \mathrm{~kg} \mathrm{~m} / \mathrm{s} in 5 s is:
(1) 300 m
(2) 30 m
(3) 3 m
(4) 0.3 m
Answer: Option (1)
Explanation:
The linear momentum of a body is given by
p = mv,
where m is mass and v is velocity.
Given mass m = 5 g = 5 \times 10^{-3} \mathrm{~kg} and momentum
p = 0.3 \mathrm{~kg~m/s}.
Using the formula
v = \frac{p}{m}we get
v = \frac{0.3}{5 \times 10^{-3}} = 60 \mathrm{~m/s}.
Distance covered is given by s = vt.
For time t = 5 s,
the distance covered is
s = 60 \times 5 = 300 \mathrm{~m}.
Hence, the correct answer is Option (1).