Answer:
c. 130 N
Explanation:
F = ma.................. Equation 1
Where F = force, m = mass of one person, a = outward acceleration.
But,
a = v²/r........................... Equation 2
Where v = velocity, r = radius.
and
v = 2πr/T........................ Equation 3.
Where T = Period,
Given: T = 6.0 s and π = 3.14, r = 4/2 = 2 m
Substitute into equation 3
v = 2(3.14)(2)/6
v = 2.09 m/s
Substituting the value of v into equation 2
a = (2.09)²/2
a = 4.368/2
a = 2.184 m/s²
Also given: m = 60 kg, and a = 2.184 m/s²
Substitute into equation 1
F = 60(2.184)
F = 131.04
F ≈ 130 N.
The right option is c. 130 N
