A ball of mass m is thrown upward and another ball of same mass is thrown downward so as to move freely under gravity. The acceleration of centre of mass is

Question

A ball of mass m is thrown upward and another ball of same mass is thrown downward so as to move freely under gravity. The acceleration of centre of mass is (A) g (B) (g/2) (C) 2 g (D) 0

Tardigrade Admin · Accepted Answer

ac m=(m(-g)+m(-g)/m +m) ac m=-g

Q. A ball of mass $m$ is thrown upward and another ball of same mass is thrown downward so as to move freely under gravity. The acceleration of centre of mass is

$g$

$\frac{g}{2}$

$2 g$

$0$

$a_{c m} = \frac{m ( - g ) + m ( - g )}{m + m}$
$a_{c m} = - g$

Q. A ball of mass m is thrown upward and another ball of same mass is thrown downward so as to move freely under gravity. The acceleration of centre of mass is

g

2g​

2g

0

acm​=m+mm(−g)+m(−g)​ acm​=−g

Q. A ball of mass $m$ is thrown upward and another ball of same mass is thrown downward so as to move freely under gravity. The acceleration of centre of mass is

$g$

$\frac{g}{2}$

$2 g$

$0$

$a_{c m} = \frac{m ( - g ) + m ( - g )}{m + m}$
$a_{c m} = - g$