Two objects of masses 200 text{ g} and 500 te | vedclass

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

Question

(C) Given: $m_1 = 200 	ext{ g}$,$m_2 = 500 	ext{ g}$.Velocities: $\vec{v}_1 = 10 \hat{i} 	ext{ m/s}$,$\vec{v}_2 = (3 \hat{i} + 5 \hat{j}) 	ext{ m/

Vedclass · Accepted Answer

$5 \hat{i} + \frac{25}{7} \hat{j}$

Vedclass · Answer

(C) Given: $m_1 = 200 	ext{ g}$,$m_2 = 500 	ext{ g}$.Velocities: $\vec{v}_1 = 10 \hat{i} 	ext{ m/s}$,$\vec{v}_2 = (3 \hat{i} + 5 \hat{j}) 	ext{ m/s}$.The velocity of the centre of mass $\vec{v}_{CM}$ is given by the formula:$\vec{v}_{CM} = \frac{m_1 \vec{v}_1 + m_2 \vec{v}_2}{m_1 + m_2}$Substituting the values:$\vec{v}_{CM} = \frac{200(10 \hat{i}) + 500(3 \hat{i} + 5 \hat{j})}{200 + 500}$$\vec{v}_{CM} = \frac{2000 \hat{i} + 1500 \hat{i} + 2500 \hat{j}}{700}$$\vec{v}_{CM} = \frac{3500 \hat{i} + 2500 \hat{j}}{700}$$\vec{v}_{CM} = 5 \hat{i} + \frac{25}{7} \hat{j} 	ext{ m/s}$.

Two objects of masses $200 \text{ g}$ and $500 \text{ g}$ possess velocities $10 \hat{i} \text{ m/s}$ and $(3 \hat{i} + 5 \hat{j}) \text{ m/s}$ respectively. The velocity of their centre of mass in $\text{m/s}$ is:

Similar Questions

Three identical spheres,each of mass $1 \ kg$,are placed touching each other with their centres on a straight line. Their centres are marked $K, L$,and $M$ respectively. The distance of the centre of mass of the system from $K$ is

The sum of moments of all the particles in a system about its center of mass is always . . . . . .

Find the centre of mass of three particles at the vertices of an equilateral triangle. The masses of the particles are $100 \; g$,$150 \; g$,and $200 \; g$ respectively. Each side of the equilateral triangle is $0.5 \; m$ long.

$A$ square plate and a circular disc of uniform density are arranged as shown in the figure. The center of mass of this combined system will be .........

Three particles of masses $50\, g$,$100\, g$,and $150\, g$ are placed at the vertices of an equilateral triangle of side $1\, m$ (as shown in the figure). The $(x, y)$ coordinates of the centre of mass will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module