Question

Two block made of different metals identical in shape and size are acted upon by equal force by equal force which cause them to slide on a horizontal surface. The acceleration of the second block is found to be 5 time that of the first. What is the ratio of the mass of the second to the first.

Answer 1

Explanation:

I hope it is correct explanation please reply

Answer 2

The ratio of the mass of the second to the first is 1:5

Explanation:

• Two blocks are made of different metals and are identical in shape and size.
• They are acted upon by an equal force
• The force causes them to slide on a horizontal surface.
• Given the acceleration of the second block is found to be 5 times that of the first
• The ratio of the mass of the second to the first. is to be calculated.

Let the mass of the first block = m1

acceleration of block of mass $m1 = a$

Let the mass of the second block = $m_{2}$

acceleration of block of mass $m2 = 5a$

$Force = mass$ × $acceleration$

Since forces are equal,

$m_{1} a=m_{2} 5a$

$\frac{m1}{m2} =\frac{5a}{a}=5$

$\frac{m2}{m1} =\frac{1}{5}$

The ratio of the mass of the second to the first is 1:5

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