A force of 100 N gives a mass m_1, an acceleration of 10 ms-2 and of 20 ms^(-2) to a mass m_2. What acceleration must be given to it if both the masses are tied together?

A force of 100 N gives a mass m_1, an acceleration of 10 ms-2 and of 2

1.	A force of 100 N gives a mass m_1, an acceleration of 10 ms-2 and of 20 ms^(-2) to a mass m_2. What acceleration must be given to it if both the masses are tied together?
Answer» Solution :Suppose, a = ACCELERATION produced if `m_1` and `m_2`are TIED together, F = 100 N Let `a_1` and `a_2`be the acceleration produced in `m_1` and `m_2` , respectively. ` therefore a_1 = 10 ms6(-2) , a _2 = 20 ms^(-2) ` (GIVEN ) agian ` m_1 = (F)/(a_1) " and " m_2 = (F)/(a_3)` ` rArrm_1 = 100/10 = 10kg` `m_2 = 100/20 = 5kg ` ` m_1 + m_2 = 10 + 5 = 15` so `a = (F)/(m_1 + m_2) =100/15 = 20/3 = 6.67 ms^(-2)`