Answer:
minimum speed is 15.35 m/s
frictional coefficient is 0.26
Explanation:
given data
radius = 84 m
angle = 16°
speed = 16 km/h = 4.43 m/s
to find out
minimum speed and minimum coefficient
solution
we will apply here formula for velocity that is
velocity² = radius × g × tanθ
v² = 84 × 9.8 × tan16
v² = 236.04
v = 15.35 m/s
and
we find first friction force here
friction force 1 = m v² /r
friction force 1 = m (15.35)² / 84 = 2.80 m
and
friction force 2 = m v² /r
friction force 2 = m (4.43)² / 84 = 0.245 m
so total friction force = f1 - f2
total friction force = 2.80 - 0.245 = 2.55 m
so frictional coefficient = friction force /g
frictional coefficient = 2.55 / 9.8
so frictional coefficient is 0.26
