Which has more momentum, an object with a mass of #6kg# moving at #2m/s# or an object with a mass of #12kg# moving at #3m/s#?

1 Answer
May 9, 2018

Second object

Explanation:

Momentum of an object is given by the equation:

#p=mv#

  • #p# is the momentum of the object

  • #m# is the mass of the object

  • #v# is the velocity of the object

Here, #p_1=m_1v_1,p_2=m_2v_2#.

The first object's momentum is:

#p_1=6 \ "kg"*2 \ "m/s"#

#=12 \ "kg m/s"#

The second object's momentum is:

#p_2=12 \ "kg"*3 \ "m/s"#

#=36 \ "kg m/s"#

Since #36>12#, then #p_2>p_1#, and so the second object has a higher momentum than the first object.