Using up resources at a rate in which they can be replaced is called:
1 answer:
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Answer:
The speed is maximum and the acceleration is zero
Explanation:
- The speed of the mass in simple harmonic motion can be found by using the law of conservation of energy. In fact, the total mechanical energy of the mass-spring system is sum of kinetic energy and elastic potential energy:
where
m is the mass
v is the speed
k is the spring constant
x is the displacement
As we can see, when the displacement is zero (x=0), the term representing the kinetic energy is maximum, so v (the speed) is also maximum.
- The acceleration of the mass in simple harmonic motion is proportional to the restoring force acting on the mass, which is given by Hook's law
where
k is the spring constant
x is the displacement
When x = 0, F = 0, so the net force acting on the mass is zero. Therefore, this also means that the acceleration of the mass is also zero: a = 0.
Answer:
The larger pebble has 25 times more mass.
Explanation:
To solve the exercise it is necessary to apply the work and energy conservation equations.
For the case described, the work done must be preserved and must be the same, that is,
By definition work linked to the conservation of kinetic energy would be given by
The ratio between the mass and the velocity would be,
Therefore the answer is: The larger pebble has 25 times more mass.