States compliance with the native american reservation treaties drawn up by the federal government for the native american nation is:
(a) voluntary
(b)mandatory
(c)optional
(d)decided by the governor

The U.S. federal government and each American Indian Nation negotiate every Native American reservation treaty and agree to respect the terms they involve. Thus, these treaties are mandatory for every State. Nowadays, the Indian Reorganization Act of 1934 strives to promote tribal sovereignty on each reservation and to improve American Indian's life conditions.

a = 3.608 ft/s²

T = 5.977 kip

Explanation:

Angle of inclined track is not given. It is 5 degree as shown in attached image 1.

Given data:

Weight of boxcar A = Wα = 20,000 lb

Weight of boxcar B = Wb = 30,000 lb

Coefficient of kinetic friction = υk = 0.5

angle of inclined track = 5 degree

Value of g = 32.2 ft/s²

Solution:

These boxcars are moving therefore,

∑Fₓ = ma

∑

Car A

Use ∑

Forces acting in Y-axis are weight and its counter N (as shown in Free body diagram). Weight is Negative (acting downward) while N is positive (acting upward)

∑ Nα - Wα*Cos(∅) = 0

∑ Nα - 20,000*Cos(5°) = 0

∑ Nα - 20,000*0.9962 = 0

∑ Nα - 19,924 = 0                

Nα = 19,924

Use ∑Fₓ = maₓ

Forces acting in x-axis are Fa, T and horizontal component of weight and force having acceleration a (as shown in Free body diagram). Horizontal component of weight and Tension (T) are Negative (acting in negative X-axis direction) while Fa is positive (acting in positive X-axis direction)

∑Fₓ = maₓ

(0.5*19924) - 20,000*Sin(5°) - T = (20,000/32.2)*a

9962 - 1744 - T = 621.12*a

8218 - T = 621.12*a  .................. Eq(1)

Both cars

∑Fₓ = maₓ

Forces acting are; horizontal component of weights, Fa and force having acceleration a (as shown in Free body diagram).

9962 - 1744 - 2616 = 621.12/a + 931.68/a

5602 = 1552.8 / a

⇒ a = 3.608 ft/s²

put a = 3.608 ft/s² in equation (1)

⇒ T = 8218 - 621.12*3.608

    T = 8218 - 2240.79

    T = 5977.21 lb

    T = 5.977 kip