TS EAMCET · Physics · Rotational Motion
A solid sphere of mass \(5 \mathrm{~kg}\) rolls on a plane surfaces. Find its kinetic energy at an instant when its centre moves with speed \(4 \mathrm{~m} / \mathrm{s}\).
- A \(56 \mathrm{~J}\)
- B \(45 \mathrm{~J}\)
- C \(75 \mathrm{~J}\)
- D \(105 \mathrm{~J}\)
Answer & Solution
Correct Answer
(A) \(56 \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
As we know, the rotational kinetic energy of a body is given by, \[ \mathrm{KE}=\frac{1}{2} m v^2\left[1+\frac{k^2}{R^2}\right] \] where,\(k=\) radius of gyration Given, \(m=5 \mathrm{~kg}, v=4 \mathrm{~m} / \mathrm{s}\) and \(k=\sqrt{\frac{2}{5}} R\) Hence,…
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
- What will be the minimum speed of the roller-coaster so that the passenger at the top, when becomes upside down, does not fall out? Consider the acceleration due to gravity as and the radius of curvature of the roller coaster isTS EAMCET 2021 Hard
- Due to the presence of air resistance, if a body dropped from a height of 20 m reaches the ground with a speed of \(18 \mathrm{~ms}^{-1}\), then the time taken by the body to reach the ground is nearlyTS EAMCET 2025 Medium
- Two resistances of \(400 \Omega\) and \(800 \Omega\) are connected in series with \(6 \mathrm{~V}\) battery of negligible internal resistance. A voltmeter of resistance \(10000 \Omega\) is used to measure the potential difference across \(400 \Omega\). The error in the measurement of potential difference in volts approximately is :TS EAMCET 2003 Medium
- A bullet enters a wooden block with velocity \(120 \mathrm{~m} / \mathrm{s}\). The bullet travels \(1.5 \mathrm{~s}\) in the block before its velocity reduces to zero due to resistance force which is proportional to the square root of the velocity. The distance travelled by the bullet in the wooden block isTS EAMCET 2019 Easy
- The maximum wavelength of incident radiation required to ionize a hydrogen atom in its ground state is nearlyTS EAMCET 2025 Medium
- Consider a light source placed at a distance of \(1.5 \mathrm{~m}\) along the axis facing the convex side of a spherical mirror of radius of curvature \(1 \mathrm{~m}\). The position \(\left(s^{\prime}\right)\), natwre and magnification (m) of the image areTS EAMCET 2017 Easy
More PYQs from TS EAMCET
- At very high frequencies, the current (i) in the given circuit is
TS EAMCET 2023 Hard - A ball falls freely from a height \(\mathrm{h}\) on a rigid horizontal plane. If the coefficient of restitution is e, then the total distance travelled by the ball before hitting the plane second time isTS EAMCET 2023 Medium
- It is possible to project a particle with a given velocity in two possible ways so as to make them pass through a point \(p\) at a horizontal distance \(r\) from the point of projection. If \(t_1\) and \(t_2\) are times taken to reach this point in two possible ways, then the product \(t_1 t_2\) is proportional toTS EAMCET 2012 Easy
- A convex lens forms a real image of a point object placed on its principal axis. If the upper half of the lens is painted black, thenTS EAMCET 2023 Easy
- If the acceleration due to gravity \(g\) doubles and the radius of earth becomes half that of the present value, then the value of escape velocity is (Assume, \(g=10 \mathrm{~m} / \mathrm{s}^2\) and radius of earth, \(R=6400 \mathrm{~km}\) )TS EAMCET 2019 Easy
- A thin uniform wire of mass ' \(m\) ' and linear mass density ' \(\rho\) ' is bent in the form of a circular loop. The moment of inertia of the loop about its diameter isTS EAMCET 2024 Easy