the tallest tree in the world is 116 m tall. If a bird drops their worm to the top of the tree, how long does it take to hit the
1 answer:
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To solve this problem we will apply the concepts related to the Doppler effect. This is understood as the change in apparent frequency of a wave produced by the relative movement of the source with respect to its observer. Mathematically this is given as,
Here,
v = Speed of the waves in the middle
= Speed of the receiver in relation to the medium (Positive if the receiver is moving towards the transmitter or vice versa)
= Speed of the source with respect to the medium (Positive if the source moves away from the receiver or vice versa)
Our values are given as,
Replacing,
Solving for the velocity of the source,
Therefore the speed of the other train is 26.1m/s
Answer:
Its speed is maximum and its acceleration is zero
Explanation:
- Concerning the speed:
In a simple harmonic motion, the speed can be determined through the law of conservation of energy. In fact, we have that the total mechanical energy of the system, which is sum of elastic potential energy U and kinetic energy K, is constant:
where k is the spring constant, x is the displacement, m is the mass and v is the speed.
We see that when the displacement is 0, x = 0: this means that the elastic potential energy U is also 0, therefore the kinetic energy K is maximum, and so the speed v is also maximum.
- Concerning the acceleration:
According to Newton's second law, the acceleration of the system is proportional to the net force:
the net force is just the restoring force of the spring, given by Hooke's law:
So, the acceleration is
and we see that when the displacement is zero, x = 0, and so the acceleration is also zero.