Object A, Having Mass $m _ { A }$ , Is Connected to Object

Multiple Choice

Object A, having mass $m _ { A }$ , is connected to object $\mathrm { B }$ , having mass $m _ { B }$ , by a massless cord. An upward force $P$ is applied to mass A, causing both masses to accelerate upward. Find the tension in the massless cord.

A) $P \times \left[ m _ { A } / \left( m _ { A } + m _ { B } \right) \right]$
B) $P \times \left[ \left( m _ { A } + m _ { B } \right) / m _ { B } \right]$
C) $P \times \left[ m _ { B } / \left( m _ { A } + m _ { B } \right) \right]$
D) $P \times \left[ \left( m _ { A } + m _ { B } \right) / m _ { A } \right]$