What are the coordinates of point B on AC Such that the ratio of AB to AC is 5:6

Step-by-step explanation:

Let suppose that A, B, and C have the following points with respect to origin in the Euclidean space:

Besides, let consider that locations of A and B are currently known. The ratio is:

Vectorially speaking, expression can be rewritten in the following terms:

Now, each side of the equation is summed vectorially by and coordinates of point B are finally found:

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²