In a _______ mixture, the ingredients are distributed evenly throughout the mixture, while in a _______ mixture, the ingredients
1 answer:
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a) The spring constant is 12,103 N/m
b) The mass of the trailer 2,678 kg
c) The frequency of oscillation is 0.478 Hz
d) The time taken for 10 oscillations is 20.9 s
Explanation:
a)
When the two children jumps on board of the trailer, the two springs compresses by a certain amount
Since the system is then in equilibrium, the restoring force of the two-spring system must be equal to the weight of the children, so we can write:
(1)
where
m = 76.2 kg is the mass of each children
is the acceleration of gravity
is the equivalent spring constant of the 2-spring system
For two springs in parallel each with constant k,
Substituting into (1) and solving for k, we find:
b)
The period of the oscillating system is given by
where
And for the system in the problem, we know that
T = 2.09 s is the period of oscillation
m is the mass of the trailer
is the equivalent spring constant of the system
Solving the equation for m, we find the mass of the trailer:
c)
The frequency of oscillation of a spring-mass system is equal to the reciprocal of the period, therefore:
where
f is the frequency
T is the period
In this problem, we have
T = 2.09 s is the period
Therefore, the frequency of oscillation is
d)
The period of the system is
T = 2.09 s
And this time is the time it takes for the trailer to complete one oscillation.
In this case, we want to find the time it takes for the trailer to complete 10 oscillations (bouncing up and down 10 times). Therefore, the time taken will be the period of oscillation multiplied by 10.
Therefore, the time needed for 10 oscillations is:
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This is a diagram from above, the air resistance is oppose to movement, the bird is moving forward given its force is bigger.
Answer:
Explanation:
The water droplet is initially neutral, it will obtain a 40 nC of charge when a charge of -40 nC is removed from the water droplet.
The charge on one electron,
Let the N number of electrons have charge -40 nC, such that,
Now, mass of one electron =
Therefore, mass of N electrons =
It is the mass of the of the water droplet that must be removed in order to obtain a charge of 40 nC.
Let it is m times the total mass of the droplet which is
Then,
It is the required fraction of mass of the droplet.