Question

Two different blocks of ice sit on the level floor of a meat packing plant. Yasmeen pushes with a horizontal force of magnitude F on the first block, which has mass m, and it accelerates along the floor with acceleration magnitude a. She then pushes with horizontal force 2F on the second block, and it accelerates along the floor with acceleration magnitude 2a/3. What is the mass of the second block

Answer 1

The mass is
`m_1 = 3m`

Step-by-step explanation:

Generally from Newton law for the first block

`F = ma`

=>
`a =  (F)/(m)`

For the second block the force is
`F_1 =  2F` and the acceleration is
`a_1 = (2a)/(3)`

So from Newton law

`2F = m_1*(2a)/(3)`

=>
`3F  =  m_1 * a`

substituting for a

=>
`3F  =  m_1 * (F)/(m)`

=>
`m_1 =  3m`