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Example 9.4 A force of 5 N gives a mass m1, an acceleration of 10 m s–2 and a mass m2, an acceleration of 20 m sβˆ’2. What acceleration would it give if both the masses were tied together? Given Force = F = 5 N Acceleration produced in object 1 = a1 = 10 m/s2 Acceleration produced in object 2 = a2 = 20 m/s2 Let Mass of object 1 = m1 Mass of object 2 = m2 It is given that same force is applied to both objects First, let us find Mass of both objects We know that, Force = Mass Γ— acceleration ∴ Mass = πΉπ‘œπ‘Ÿπ‘π‘’/π‘Žπ‘π‘π‘’π‘™π‘’π‘Ÿπ‘Žπ‘‘π‘–π‘œπ‘› Object 1 m1 = 𝐹/π‘Ž_1 = 5/10 = 1/2 = 0.5 kg Object 2 m2 = 𝐹/π‘Ž_2 = 5/20 = 1/4 = 0.25 kg Now, we need to find Acceleration if both masses were tied together Force will be the same Force = 5 N Mass will be the combined mass Combined Mass = (m1 + m2) = (0.5 + 0.25) = 0.75 kg We know that Force = Mass Γ— Acceleration Acceleration = πΉπ‘œπ‘Ÿπ‘π‘’/π‘šπ‘Žπ‘ π‘  = 𝐹/((π‘š_1+ π‘š_2)) = 5/0.75 = 5/(3/4) = (5 Γ— 4)/3 = 20/3 = 6.67 m/s2 ∴ The acceleration produced is 6.67 m/s2

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Maninder Singh

CA Maninder Singh is a Chartered Accountant for the past 13 years and a teacher from the past 17 years. He teaches Science, Economics, Accounting and English at Teachoo