The following objects have velocity and mass as given: object a: m=5 kg, ⃗v=−11 ^j object b: m=6 kg, ⃗v=5^ i +8.7 ^ j object c: m=10 kg, ⃗v=−10 ^i find the x- and y-components of the net momentum of the system objects if we define the system to consist of (a) objects a and c (b) objects b and c (c) objects a, b, and c

For object A

m = 5 kg ,   v= -11 j

For B object

m = 6 kg  ,  v= 5 i +8.7 j

For object C

m = 10 kg   ,   v= -10 i

We know that

Linear momentum   P= m v   kg.m/s

a) A and C

Momentum in y direction

Py=- 5 x 11 j= - 55 j  kg.m/s

Momentum in x direction

Px=- 10 x 10 j= - 100 i    kg.m/s

b) B and C

Momentum in y direction

Py=6 x 8.7 j= 52.2 j    kg.m/s

Momentum in x direction

Px=( 6 x 5 - 10 x 10 ) i = - 70 i   kg.m/s

c) A ,B and C

By using data of a and b

Momentum in y direction

Py= 6 x 8.7 - 5 x 11 j= -2.8 j    kg.m/s

Momentum in x direction

Px=  6 x 5 -10 x 10 i = -70 i   kg.m/s

the independent variable, or the one that is intentionally manipulated is the speed.

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