The velocity of the transverse waves produced by an earthquake is 5.09 km/s, while that of the longitudinal waves is 8.5512 km/s
1 answer:
Answer:
Explanation:
Velocity of transverse wave Vt = 5.09 km/s
Velocity of longitudinal wave Vl = 8.5512 km/s
Let earthquake occurred d km away .
Time taken by transverse wave to travel d distance
= d / 5.09 s
Time taken by longitudinal wave to travel d distance
= d / 8.5512 s
According to question
.19646 d - .11694 d = 64.9
.07952 d = 64.9
d = 816.15 km .
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a) 3.14 m/s
b)
c) 59.4 N
Explanation:
a)
The relationship between angular velocity and linear velocity for an object in circular motion is given by:
where
is the angular velocity
v is the linear velocity
r is the distance between the object and the axis of rotation
For the ladybug in this problem, we have:
r = 1 m (distance)
(angular velocity)
So, its linear velocity is
b)
The centripetal acceleration of an object in circular motion is given by the equation
where
v is the linear velocity
r is the distance between the object and the axis of rotation
The centripetal acceleration represents the radial acceleration of the object.
For the ladybug in this problem, we have:
v = 3.14 m/s (linear velocity)
r = 1 m (distance)
So, the centripetal acceleration is
c)
The centripetal force for an object in circular motion is given by
where
m is the mass of the object
a is the centripetal acceleration of the object
The centripetal force is the radial inward force that keeps the object in circular motion.
For the ladybug in this problem we have
m = 6.0 kg (mass)
(centripetal acceleration)
So, the centripetal force is