One of the formulas of simple pendulum problem is:
, where T is the pendulum period, L is the pendulum length and g is the acceleration of gravity.
Question a
It must be taken into account that the period is the time the pendulum takes to make a complete oscillation. With that in mind, if the pendulum makes 115 complete oscillations in 2.60 min, the way to find the time required for an oscillation is dividing the total time spent by the total oscillations made.
Before making that operation, it is important to convert the units of the time to the International System of Units to get a proper result, it means convert minutes to seconds.
Because 1 min has 60 seconds, 2.60min has (2.60x60) seconds, which equals to 156 seconds.
Now, we can proceed with the operation.
The previous result means that an oscillations takes 1.3565s which correspond to the period.
Question b
From the formula set at the beginning, we must modify it to obtain a formula for the length (L).
It is
The final step is to replace the values of T and g.
By far most of the solar system's mass is in the Sun itself: somewhere between 99.8 and 99.9 percent. The rest is split between the planets and their satellites, and the comets and asteroids and the dust and gas surrounding our star.
In a periodic table a set of properties repeats from row to row
Explanation;
In a periodic table, a set of properties repeats from row to row. This is called the periodic law. In the periodic table, the rows are called periods and the columns are called groups.
The modern periodic table is organized by increasing atomic number. The atomic mass unit is based on 1/12th the mass of a carbon-12 atom.
The atomic mass of an element is the weighted average of the masses of an element’s isotopes.