The answer is 80 m.
Centripetal force (F) is a force that makes body move around a circular curve. The unit of force is N (N = kg m/s²).
It can be represented as:
\(F= \frac{m* v^{2} }{r}\)
where:
m - mass
v - velocity
r - radius of the curve
We have:
m = 1,200 kg
V = 20 m/s
F = 6,000 N = 6,000 kg m/s²
We need radius of the curve:
r = ?
So, if \(F= \frac{m* v^{2} }{r}\), then:
\(r= \frac{3* v^{2} }{F}\)
⇒ \(r = \frac{1200 kg * (20m/s)^{2} }{6000 kg*m/s^{2} }\)
⇒ \(r= \frac{1200*400*kg*m^{2}*s^{2} }{6000kg*m/s^{2} }\)
⇒ \(r= \frac{480,000m}{6000}\)
⇒ \(r=80m\)
