Please help me i cant figure out what goes in the blanks and this is the last question of my gizmo... THANKS!
If the spring constant is 100 N/m, the period is equal to the _____________
_____________ of the mass multiplied by _____________.
If the mass is held constant at 1.0 kg, the period is equal to ____________ divided by
T2 the _____________ _____________ of the spring constant.
Ah, the last question, the grand finale! Let's dive in, my curious friend.
If the spring constant is 100 N/m, the period is equal to the "dance moves" of the mass multiplied by "springy shenanigans."
If the mass is held constant at 1.0 kg, the period is equal to "endless laughter" divided by T2, the "wiggly jiggly" of the spring constant.
Now go forth and conquer that gizmo like a true comedy champ! You got this!
To fill in the blanks, let's break down the given information and use the formulas for period and spring constant:
1. If the spring constant is 100 N/m, the period is equal to the square root of the mass multiplied by the reciprocals of the spring constant.
2. If the mass is held constant at 1.0 kg, the period is equal to the square root of the spring constant divided by the square root of the mass.
Now we can fill in the blanks:
1. If the spring constant is 100 N/m, the period is equal to the square root of the mass multiplied by the reciprocals of the spring constant.
So, the first blank is "square root" and the second blank is "mass" and the third blank is "reciprocals of the spring constant."
2. If the mass is held constant at 1.0 kg, the period is equal to the square root of the spring constant divided by the square root of the mass.
So, the first blank is "square root," the second blank is "spring constant," and the third blank is "square root."
In summary:
If the spring constant is 100 N/m, the period is equal to the square root of the mass multiplied by the reciprocals of the spring constant.
If the mass is held constant at 1.0 kg, the period is equal to the square root of the spring constant divided by the square root of the mass.
To find the answers for the blanks in your question, we need to understand the relationship between the spring constant, period, mass, and time.
The period (T) of an oscillating mass-spring system is the time taken for one complete cycle of motion, measured in seconds (s). It is given by the equation:
T = 2π √(m/k)
where T is the period, m is the mass, and k is the spring constant.
Let's fill in the blanks step by step.
1. If the spring constant is 100 N/m, the period is equal to the _____________
We can use the equation mentioned above to find the period. However, since the mass is not given, we cannot calculate the period without that information. Please provide the mass value in order to proceed.
2. _______________ of the mass multiplied by _____________.
Once we have the mass value, we can calculate the period using the equation mentioned above. The period is equal to the product of two factors: the square root of the mass (m) and the reciprocal of the spring constant (k).
3. If the mass is held constant at 1.0 kg, the period is equal to ____________ divided by T2 the _____________ _____________ of the spring constant.
Once we have the mass value of 1.0 kg, we can substitute it into the equation T = 2π √(m/k) to find the period. In this case, the period is equal to the reciprocal of k (spring constant), divided by the square root of k (spring constant).
Please provide the mass value for further assistance.