Question

The ratio of masses of two bodies is 1 : 3 and the ratio of applied forces on them is 4 : 9. Calculate the ratio of their accelerations.

Answer 1

Ratio of masses m_{1 :} m₂ = 1 : 3

Ratio of applied forces F_{1 :} F₂ = 4 : 9

Accelerations a = \(\frac{F}{m}\)

Acceleration of first body ,

a₁ = \(\frac{F_1}{m_1}\)

= \(\frac{4}{1}\) = 4

Acceleration of second body,

a_{2 =} \(\frac{F_2}{m_1}\)

Ratio of their accelerations is 4 : 3