Two stones of masses m and 3m are whirled in | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the mass of the lighter stone be $m_1 = m$ and its radius be $r_1 = r$. Let its tangential speed be $v_1$.Let the mass of the heavier stone be

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(B) Let the mass of the lighter stone be $m_1 = m$ and its radius be $r_1 = r$. Let its tangential speed be $v_1$.Let the mass of the heavier stone be $m_2 = 3m$ and its radius be $r_2 = \frac{r}{3}$. Let its tangential speed be $v_2$.Given that $v_1 = n v_2$.The centripetal force is given by $F = \frac{mv^2}{r}$.Equating the centripetal forces for both stones: $F_1 = F_2$.$\frac{m_1 v_1^2}{r_1} = \frac{m_2 v_2^2}{r_2}$.Substituting the given values: $\frac{m (n v_2)^2}{r} = \frac{3m v_2^2}{r/3}$.$\frac{m n^2 v_2^2}{r} = \frac{9m v_2^2}{r}$.Canceling common terms $m, v_2^2,$ and $r$ from both sides,we get $n^2 = 9$.Therefore,$n = 3$.

Similar Questions

In the figure shown,the potential energy $(U)$ of a particle is plotted against its position $x$ from the origin. The particle at:

In an elastic collision of two particles,which of the following quantities is conserved?

Statement $S$: Presence of a rigid cell wall and nucleoprotein as genetic material.
Statement $R$: Examples include $Euglena$,$Dinoflagellates$,$Amoeba$,and $Paramecium$.

Gold numbers of protective colloids $A$,$B$,$C$ and $D$ are $0.50$,$0.01$,$0.10$ and $0.005$,respectively. The correct order of their protective powers is

The equation of the sphere passing through the points $(1,0,0)$, $(0,1,0)$, and $(1,1,1)$ and having the smallest radius is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module