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Asked: 2021-02-12T06:11:59+00:00 In:

A force of 100 N gives a mass m1, an acceleration of 10 ms⁻² and of 20 ms⁻² to a mass m₂. What acceleration must be given to it if both the masses are tied together?

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    1 Answer

    1. Suppose, a = acceleration produced if m₁ and m₂ are tied together,
      F = 100 N
      Let a₁ and a₂ be the acceleration produced in m₁ and m₂, respectively.
      a₁ = 10 ms⁻², a₂ = 20 ms⁻² (given)
      Again m₁ = F/a₁ and m₂ = F/ a₂
      m₁ = 100/10 = 10 ms⁻²
      and m₂ = 100/20 = 5 ms⁻²
      m₁ + m₂ = 10 + 5 = 15
      So, a = F/m₁ + m₂ = 100/15 = 20/3
      = 6.67 ms⁻²

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