Como estan formados los musculos?
2 answers:
You might be interested in
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:
#LearnwithBrainly
Answer:
16.1 m/s
Explanation:
We can solve the problem by using the law of conservation of energy.
At the beginning, the spring is compressed by x = 35 cm = 0.35 m, and it stores an elastic potential energy given by
where k = 316 N/m is the spring constant. Once the block is released, the spring returns to its natural length and all its elastic potential energy is converted into kinetic energy of the block (which starts moving). This kinetic energy is equal to
where m = 0.15 kg is the mass of the block and v is its speed.
Since the energy must be conserved, we can equate the initial elastic energy of the spring to the final kinetic energy of the block, and from the equation we obtain we can find the speed of the block: