A stone tied to a string of length L is whirl | vedclass

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

Question

(D) Let the velocity at the lowest point be $v_1 = u$ (directed horizontally).When the string is horizontal,let the velocity be $v_2$. By the law of c

Vedclass · Accepted Answer

$\sqrt{2(u^2 - gL)}$

Vedclass · Answer

(D) Let the velocity at the lowest point be $v_1 = u$ (directed horizontally).When the string is horizontal,let the velocity be $v_2$. By the law of conservation of energy:$\frac{1}{2}mu^2 = \frac{1}{2}mv_2^2 + mgL$$v_2^2 = u^2 - 2gL$$v_2 = \sqrt{u^2 - 2gL}$ (directed vertically upwards).Since velocity is a vector,the change in velocity $\Delta \vec{v} = \vec{v}_2 - \vec{v}_1$.The magnitude is $|\Delta \vec{v}| = \sqrt{v_1^2 + v_2^2 - 2v_1v_2 \cos(90^\circ)}$.$|\Delta \vec{v}| = \sqrt{u^2 + (u^2 - 2gL)} = \sqrt{2u^2 - 2gL} = \sqrt{2(u^2 - gL)}$.

Similar Questions

To which series does $Catharanthus$ $roseus$ belong?

If the imaginary part of $\frac{2z+1}{iz+1}$ is $-2$,then the locus of the point representing $z$ in the Argand plane is

Which of the following has the smallest size?

$A$ student has to answer $10$ out of $13$ questions in an examination,choosing at least $5$ questions from the first $6$ questions. The number of choices available to the student is:

Consider the following reaction: $N_{2(g)} + 3H_{2(g)} \longrightarrow 2NH_{3(g)}$. The rate of this reaction in terms of $N_2$ at $T \ K$ is $-\frac{d[N_2]}{dt} = 0.02 \ mol \ L^{-1} \ s^{-1}$. What is the value of $-\frac{d[H_2]}{dt}$ (in units of $mol \ L^{-1} \ s^{-1}$) at the same temperature?

Vedclass Test Series

Exam Paper Generator

Online Exam Module