Question

A Force Produces an acceleration of 2ms-2 in a body A and 5ms-2 in another Body B. the ratio of the mass of A to the mass of B
1)2/5
2)1/5
3)5/2
4)5/1
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Answer 1

Explanation:

we know that Force = mass×acceleration

F=MA

F=m1×A1

F=m1×2---------equation1

F=m2×A2

F=m2×5---------equation2

equation 1. ÷ equation 2

m1/m2=5/2

Answer 2

Answer:

(3) $\frac{5}{2}$

Explanation:

Let the force be F.

BODY - 1

acceleration in body ($a_1$)  = $2m/s^2$

$F = m_1a_1 \\\Rightarrow m_1 = \frac{F}{a_1}$

BODY - 2

acceleration in body ($a_2$) = $5m/s^2$

$F = m_2a_2 \\\Rightarrow m_2 = \frac{F}{a_2}$

RATIO

$\frac{m_1}{m_2} = \frac{\frac{F}{a_1}}{\frac{F}{a_2}} = \frac{F}{a_1} \cdot \frac{a_2}{F} = \frac{a_2}{a_1}\\\Rightarrow \frac{m_1}{m_2} = \frac{5}{2}$