Do you think renewable energy sources will become
1 answer:
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Answer:
(E) It would increase by a factor of 2.
Explanation:
Maximum speed (v) is given by:
Where ω is the angular frequency and A is the amplitude.
The angular frequency of a spring-mass system is given by:
Where k is the spring constant and m is the mass of the block attached to the spring.
Therefore, maximum speed can be written as:
Since mass and amplitude are constant values, a relationship between maximum velocity and spring constant can be defined as:
There is a linear relationship between maximum velocity and the square root of the spring constant. Therefore if the spring constant is increased by a factor of 4, the velocity is increased by a factor of the square root of 4, which is 2.
The answer is (E) It would increase by a factor of 2.