Question

two blocks A and B of different materials but identical in shape and size are acted upon by equal forces causing them to move if a acceleration of a block is 5 times that of B what is the true ratio of their masses

Answer 1

Let the mass of the block A is "m".

Let the mass of the block B is "M"

Given:

$a_A = 5a_B$

Since, the forces applied on Block A and Block B is same.

Hence,

$ma_A = Ma_B$

$ma_A = 5Ma_A$

m = 5M

$\frac{(Mass)_A}{(Mass)_B} = \frac{5}{1}$

Hence, the ratio of their masses is 5 : 1

Answer 2

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