Subjective Type

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

Solution

Let the mass of first block $$= m_1$$
acceleration of block of mass $$m_1 = a$$
Let the mass of second block $$= m_2$$
acceleration of block of mass $$m_2 = 5a$$
$$Force = mass \times acceleration$$
Since forces are equal,
$$m_1 ,a = m_2 5a$$
$$\dfrac{m_1}{m_2} = \dfrac{5a}{a} = 5$$
$$\dfrac{m_2}{m_1} = \dfrac{1}{5}$$

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