The momentum of a bald eagle in flight is calculated to be 345. The mass of the eagle is 5.0 kg. What is the magnitude of the ve
2 answers:
Answer : v = 69 m/s.
Explanation :
It is given that,
The momentum of a bald eagle in flight,
Mass of the eagle, m = 5 kg
We know that the momentum of any object is defined as the product of mass and the velocity with which it is moving.
The velocity of the eagle is 69 m/s.
Hence, this is the required solution.
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A)
The total energy of the system is equal to the maximum elastic potential energy, that is achieved when the displacement is equal to the amplitude (x=A):
(1)
where k is the spring constant.
The total energy, which is conserved, at any other point of the motion is the sum of elastic potential energy and kinetic energy:
(2)
where x is the displacement, m the mass, and v the speed.
We want to know the displacement x at which the elastic potential energy is 1/3 of the kinetic energy:
Using (2) we can rewrite this as
And using (1), we find
Substituting into the last equation, we find the value of x:
B)
In this case, the kinetic energy is 1/10 of the total energy:
Since we have
we can write
And so we find: