Answer :
To identify the variables used in the equations for centripetal force and to fill in the cells [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] in the table provided by Suchita, we need to understand the meaning of the variables involved in the centripetal force equation. The standard equation for centripetal force ([tex]\(F_c\)[/tex]) is given by:
[tex]\[ F_c = \frac{m v^2}{r} \][/tex]
where:
- [tex]\(F_c\)[/tex] is the centripetal force,
- [tex]\(m\)[/tex] is the mass,
- [tex]\(r\)[/tex] is the radius of the circular path,
- [tex]\(v\)[/tex] is the tangential speed.
From the context provided, the table indicates that the variable [tex]\(r\)[/tex] corresponds to the quantity [tex]\(X\)[/tex] and the variable [tex]\(v\)[/tex] corresponds to the quantity [tex]\(Y\)[/tex].
Therefore:
- [tex]\(X\)[/tex] should correspond to the radius,
- [tex]\(Y\)[/tex] should correspond to the tangential speed.
So, based on the identification of these variables in the equation for centripetal force, the correct quantities to fill in cells [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] in the table are:
[tex]\[ X: \text{radius} \][/tex]
[tex]\[ Y: \text{tangential speed} \][/tex]
[tex]\[ F_c = \frac{m v^2}{r} \][/tex]
where:
- [tex]\(F_c\)[/tex] is the centripetal force,
- [tex]\(m\)[/tex] is the mass,
- [tex]\(r\)[/tex] is the radius of the circular path,
- [tex]\(v\)[/tex] is the tangential speed.
From the context provided, the table indicates that the variable [tex]\(r\)[/tex] corresponds to the quantity [tex]\(X\)[/tex] and the variable [tex]\(v\)[/tex] corresponds to the quantity [tex]\(Y\)[/tex].
Therefore:
- [tex]\(X\)[/tex] should correspond to the radius,
- [tex]\(Y\)[/tex] should correspond to the tangential speed.
So, based on the identification of these variables in the equation for centripetal force, the correct quantities to fill in cells [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] in the table are:
[tex]\[ X: \text{radius} \][/tex]
[tex]\[ Y: \text{tangential speed} \][/tex]
