Find the velocity of the CoM of the System

A 3kg ball moves at 3 m/s towards a 1 kg ball at rest that is 100 meters away

3 kg

1

V= 3 m/sV= 0

Vcm = Σmv/Σm = {3kg x 3 /s + 0} / 4 kg = 2.25 m/s

Xcm

Find the velocity of the CoM of the System

A 3kg ball moves at 3 m/s towards a 3 kg ball at rest

3 kg

3 kg

V= 3 m/sV= 0

Vcm = Σmv/Σm = {3kg x 3 /s + 0} / 6 kg = 1.33 m/s

Xcm

Find the velocity of the CoM of the System

Two 3kg ball move toward each other at 3 m/s

3 kg

3 kg

V= 3 m/s V= 3m/s

Vcm = Σmv/Σm = {3kg x 3 m/s - 3kg x 3m/s } / 6 kg = 0 m/s

Xcm

Find the velocity of the CoM of the System

Two 3kg ball move in the same direction at 3 m/s

3 kg

3 kg

V= 3 m/s V= 3m/s

Vcm = Σmv/Σm = {3kg x 3 m/s + 3kg x 3m/s } / 6 kg = 3 m/s

Xcm

Find the momentum of the CoM of the System

A 3kg ball moves at 3 m/s towards a 1 kg ball at rest that is 10 meters away

3 kg

1

V= 3 m/sV= 0

Pcm = MVcm Vcm = Σmv/Σm = {3kg x 3 /s + 0} / 4 kg = 2.25 m/sPcm = 4 kg x 2.25 m/s = 9 kg m/s

Xcm

Find the momentum of the CoM of the System

A 3kg ball moves at 3 m/s towards a 3 kg ball at rest

3 kg

3 kg

V= 3 m/sV= 0

Vcm = Σmv/Σm = {3kg x 3 /s + 0} / 6 kg = 1.33 m/sPcm = MVcm

Pcm = 6kg x 1.33 m/s = 8 kg m/s

Xcm

Find the momentum of the CoM of the System

Two 3kg ball move toward each other at 3 m/s

3 kg

3 kg

V= 3 m/s V= 3m/s

Vcm = Σmv/Σm = {3kg x 3 m/s - 3kg x 3m/s } / 6 kg = 0 m/sPcm = MVcm

Pcm = 6kg Vcm = 0

Xcm

Find the momentum of the CoM of the System

Two 3kg ball move in the same direction at 3 m/s

3 kg

3 kg

V= 3 m/s V= 3m/s

Vcm = Σmv/Σm = {3kg x 3 m/s + 3kg x 3m/s } / 6 kg = 3 m/sPcm = MVcm

Pcm = 6kg x 3 m/s = 18 kg m/s

Xcm