Grigoriy S. answered • 12/04/21

AP Physics / Math Expert Teacher With 40 Years of Proven Success

If I understood the problem in a right way, after the collision two carts moved with the same speed

v = 0.9 m/s. It means this is ** inelastic collision** and then we can write the

**law of conservation of linear momentum**as

*m*_{1}*v*_{1}* + m*_{2}*v*_{2}* =( m*_{1 }*+ m*_{2}** )v** ,

here

m_{1}v_{1 }- linear momentum of the first body before the collision,

m_{2}v_{2} - linear momentum of the second body before the collision

( m_{1 }+ m_{2})v - linear momentum of the 2 bodies after the collision

From this equation the momentum of the first body

**p**_{1}** = ( m**_{1 }**+ m**_{2}**)v - m**_{2}**v**_{2}

****

Just put in this equation all known values and you are done!