What is the change in momentum that occurs when a 1.0 kg ball traveling at 4.0 m/s strikes a wall and bounces back at 2.0 m/s?

1 Answer
Feb 20, 2018

#2"kg m"/"s"# of momentum is lost.

Explanation:

We have to find #Deltap#, where #p# is the linear momentum.

The formula for momentum is #p=mv#, where #m# is the mass of the body and #v# its velocity.

We have #p_1# and #p_2#. #Deltap=p_2-p_1#.

The mass, #m#, does not change and is always #1"kg"#.

For #p_1#:

#v=4"m"/"s"#

So #p_1=1*4=4"kg m"/"s"#

For #p_2#:

#v=2"m"/"s"#

So #p_2=1*2=2"kg m"/"s"#

#Deltap=p_2-p_1`#

#Deltap=2-4#

#Deltap=-2"kg m"/"s"#

Therefore #2"kg m"/"s"# of momentum is lost.