Question

48) A metal sphere of mass 1 kg is dropped from a height of 10 m on to sand. Calculate the momentum transferred by the metal sphere to sand. (g = 10 m/s2)


a) 10 kg m/s
b) 10 2 kg m/s
c) 20kg m/s
d) 40 m/s

BRAINLY GODS PLEASE HELP ​

Answer 1

As per the data given in the question,

In the above question, it is given that,

 A metal sphere of mass 1 kg.

Dropped from a height of 10m,

g$=10\frac{m}{s^{2} }$

We have to Calculate the momentum transferred by the metal sphere to sand.

By the formula of the final velocity,

$v^{2} -u^{2} =2as$

The initial velocity of the sphere is u=0,

$v^{2} - 0 = 2\times 10 \times 10\\ = 200 m/s\\v = \sqrt{200} m/s\\ = 14.14 m/s$

Further, the momentum transferred by the metal sphere to sand$=mv$

$=1\times14.14\\=14.14kg \frac{m}{s}$

Hence the momentum transferred by the metal sphere to sand is $14.14kg\frac{m}{s}$

While the given option (a),(b),(c) and (d) are incorrect.