TS EAMCET · Physics · Center of Mass Momentum and Collision
The balls \(A, B\) and \(C\) of masses \(50 \mathrm{~g}, 100 \mathrm{~g}\) and \(150 \mathrm{~g}\), respectively are placed at the vertices of an equilateral triangle. The length of each side is \(1 \mathrm{~m}\). If \(A\) is placed at \((0,0)\) and \(B\) is placed at \((1,0) \mathrm{m}\), find the coordinates \((x, y)\) for the centre of mass of this system of the balls
- A \(\left(\frac{7}{12}, \sqrt{\frac{3}{4}}\right) \mathrm{m}\)
- B \(\left(\frac{5}{18}, \sqrt{\frac{1}{4}}\right) \mathrm{m}\)
- C \(\left(\frac{7}{12}, \sqrt{\frac{3}{2}}\right) \mathrm{m}\)
- D None of these.
Answer & Solution
Correct Answer
(D) None of these.
Step-by-step Solution
Detailed explanation
Given, \( \begin{aligned} & \text { mass of ball } A_1 m_1=50 \mathrm{~g} \\ & \text { mass of ball } B, m_2=100 \mathrm{~g} \\ & \text { mass of ball } \mathrm{C}, m_3=150 \mathrm{~g} \end{aligned} \) and length of each side of triangle \(=1 \mathrm{~m}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Two circular coils of radii \(r_1\) and \(r_2\left(r_1 \ll r_2\right)\) are placed coaxially with their centers coinciding. The mutual inductance of the arrangement isTS EAMCET 2024 Medium
- A thin spherical shell encloses a concentric solid sphere. The radius of the shell is \((0.060)^{\frac{1}{2}} \mathrm{~m}\) and its surface charge density is \(-10^{-5} \mathrm{C} / \mathrm{m}^2\).The radius of the solid sphere is \((0.01)^{\frac{1}{3}} \mathrm{~m}\) and its volumetric charge density is \(3 \times 10^{-5} \mathrm{C} / \mathrm{m}^3 . \varepsilon_0\) is the permittivity of free space in \(\mathrm{C}^2 / \mathrm{Nm}^2\). The electric flux through a spherical surface concentric with the spherical shell and of radius greater than that of the shell in V-m isTS EAMCET 2018 Medium
- A small cube of side of is placed at the center of a circular loop of radius, . If the current in the loop is, then the magnetic energy stored inside the cube is (Assume SI units )TS EAMCET 2021 Easy
- If the radiation emitted by a perfect radiator has maximum intensity at a wavelength of \(2900 Å\), the intensity of radiation emitted by it is (Stefan-Boltzmann's constant \(=5.67 \times 10^{-8} \mathrm{Wm}^{-2} \mathrm{~K}^{-4}\) and Wein's constant \(=2.9 \times 10^{-3} \mathrm{mK}\) )TS EAMCET 2025 Medium
- The total magnification produced by a compound microscope is 24 when the final image is formed at the least distance of distinct vision. If the focal length of the eyepiece is 5 cm, the magnification produced by the objective isTS EAMCET 2025 Medium
- In the given circuit, the equivalent resistance between \(\mathrm{A}\) and \(B\) is
TS EAMCET 2023 Medium
More PYQs from TS EAMCET
- An amplitude modulated wave is represented by \(c_m(t)= 10[1+0.6 \sin (1250 \mathrm{t})] \sin \left(10^8 \mathrm{t}\right)\). Then the modulation index isTS EAMCET 2023 Medium
- In a single slit diffraction, the slit is illuminated with light of wavelength \(6000 Å\). If the slit were illuminated by a light of wavelength \(\lambda\) the angular width of the central maximum decreases by \(30 \%\). Then \(\lambda\) isTS EAMCET 2023 Medium
- The net work done by an ideal gas going through the cycle as shown in the diagram below is
TS EAMCET 2022 Easy - A heavy uniform rope is suspended vertically from a ceiling and is in equilibrium. A pulse is generated at the bottom end of the rope as shown. As the pulse travels up the rope, its acceleration at any instant is ( \(\mathrm{g}\) is acceleration due to gravity)
TS EAMCET 2023 Hard - A boy is playing with the empty rim of a cycle wheel of radius \(40 \mathrm{~cm}\) by rolling it along a horizontal road towards north with angular speed of \(20 \mathrm{rad} \mathrm{s}^{-1}\). Considering the effect of magnetic field of earth, the e.m.f induced in the rim is (Horizontal component of earth's magnetic field \(=0.26 \mathrm{G}\) )TS EAMCET 2023 Medium
- In a junction, an electric field of exists in the depletion region. The minimum kinetic energy of a conduction electron, in order to diffuse from -side to the -side, is found to be . The width of the depletion region is,TS EAMCET 2021 Medium