Answer:
Will increase
Explanation:
The period of an oscillating motion is the time it takes for the system to make one complete oscillation.
The period of a spring-mass system is given by the equation:
[tex]T=2\pi \sqrt{\frac{m}{k}}[/tex]
where:
k is the spring constant
m is the mass attached to the spring
In this problem:
- The mass of the system is increased
- The spring constant is decreased
We observe that:
- The period of the system is proportional to the square root of the mass: so as the mass increases, the period will increase as well
- The period is inversely proportional to the square root of the spring constant: so as the constant decreases, the period will increase
Therefore, this means that in this case, the period will increase.
