A pack of four Arctic wolves are exerting four different forces upon the carcass of a 500 kg dead polar bear. Wolf one is pulling on the bear with a force of 20 Newtons (N) due north. Wolf two is pulling on the bear with a force of 30 N, 30 degrees north of west. Wolf three is pulling on the bear with a force of 25 N due west, and wolf four is pulling on the bear with a force of 35 N, 10 degrees west of south. Determine the net force acting upon the polar bear and the direction of that force measured north of west.

Let the situation be as represented in the diagram attached. To determine the net force acting on the bear, we need to resolve the forces into component forms.

Taking west-east as the +x axis and south-north as +y axis.

F1x = 0N (force is directed due north and so has not x component)

F2x = – F2cos30° = –30cos30° = –26N

F3x = – 25N (force is directed due west and so has only x component)

F4x = –F4sin10° = -35sin10° = –6.08N

Fx = F1x + F2x + F3x + F4x =0 – 26 –25 – 6.08 = –57.08N

F1y = 20N (force is directed due north and so has not x component)

F2y = F2sin30° = 30sin30° = 15N

F3y = 0N (force is directed due west and so has only x component)

Fy = –F4cos10° = -35cos10° = –34.5N

Fy = F1y + F2y + F3y + F4y = 20 + 15 + 0 –34.5 = –10.5N

F = √(Fx² + Fy²)

F = √((-57.1² + (-10.5)²) = 58.1N

θ = tan-¹(Fy/Fx) = tan-¹(-10.5/-57.1) = 10.4° South of East.

F = 58.1N

θ = 10.4° South of East.

batolisis batolisis · Answer 2 · 2022-02-15T19:02:59+01:00

The net force acting upon the polar bear is : 58.1 N

The direction of the net force measured is : 10.4° South of East.

Calculate the net force and direction of force

F₁y = 20N no x component

F₂y = F₂* sin 30° = 30 * sin 30° = 15N

F₃y = 0 N only x component)

while :

Fy = –F₄Cos10°

= -35 * cos10°

= –34.5 N.

Summation of forces in along th y component

Fy = F₁ y + F₂y + F₃y + F₄y

= 20 + 15 + 0 – 34.5

= – 10.5N

Therefore F = √(Fx² + Fy²)

= √((-57.1² + (-10.5)²)

= 58.1N

Next step : Determine the direction of the force

θ = tan-¹( Fy / Fx )

= tan-¹( -10.5 / -57.1 )

= 10.4° South of East.

Hence we can conclude that the net force ( F ) = 58.1 N and the direction of the net force is 10.4° South of East.

Learn more about net force calculation : https://brainly.com/question/14361879