Aparent swings a 11.5 kg
child in a circle of radius
0.711 m, making 12 revolutions
in 27.4 s. how much force does
the parent exert on the child?
(unit = n)

22.5 N

Explanation:

Taking towards the center to be +x, sum of forces on the child in the x direction:

∑F = ma

F = m v² / r

F = m (ωr)² / r

F = m ω² r

Plugging in values:

F = (11.5 kg) (12 rev × 2π rad/rev / 27.4 s) (0.711 m)

F = 22.5 N

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14

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