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

d) the number of neutrons plus the number of protons

the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.