If the same force is applied to m1 and m2 the mass of m1 is twice m2 what is the acceleration of m2 interms of a1?

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Answer 1 · 2018-01-04T14:43:20

#a_2=2a_1# or the acceleration of #m_2# is twice that of #m_1#.

Using Newton's 2nd Law of motion #F=ma#, we get

#F_1=m_1a_1#

#F_2=m_2a_2#

We have:

#F_1=F_2#

#:.m_1a_1=m_2a_2#

We also have:

#m_1=2m_2#

#2m_2a_1=m_2a_2#

#a_2=(2m_2a_1)/m_2=2a_1#