The roadway bridge over a canal is in the form of an arc
of a circle of radius 20 m. What is the minimum speed
with which a car can cross the bridge without leaving
contact with the ground at the highest point (g = 9.8
m/s2
)
(a) 7 m/s (b) 14 m/s
(c) 289 m/s (d) 5 m/s
Answers
Answered by
44
Hey dear,
You should ask the max speed cause min speed is anything more than zero.
◆ Answer-
b) 14 m/s
● Explanation-
# Given-
r = 20 m
g = 9.8 m/s^2
# Solution-
For maximum velocity, weight of the car balances the cetrifugal force acting on it.
W = F
mg = m(vmax)^2 / r
vmax = √(rg)
vmax = √(20×9.8)
vmax = √(196)
vmax = 14 m/s
Maximum velocity without going off track is 14 m/s.
Hope that is useful...
You should ask the max speed cause min speed is anything more than zero.
◆ Answer-
b) 14 m/s
● Explanation-
# Given-
r = 20 m
g = 9.8 m/s^2
# Solution-
For maximum velocity, weight of the car balances the cetrifugal force acting on it.
W = F
mg = m(vmax)^2 / r
vmax = √(rg)
vmax = √(20×9.8)
vmax = √(196)
vmax = 14 m/s
Maximum velocity without going off track is 14 m/s.
Hope that is useful...
Answered by
6
Answer:
I hope this is the correct answer ☺️
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