TS EAMCET · Physics · Center of Mass Momentum and Collision
A ball is allowed to fall freely from a height of 42 m from the ground. If the coefficient of restitution between the ball and the ground is 0.4, then the total distance travelled by the ball before it comes to rest is
- A 84 m
- B 87 m
- C 72 m
- D 58 m
Answer & Solution
Correct Answer
(D) 58 m
Step-by-step Solution
Detailed explanation
\( D_{total} = h_0 \left( \frac{1+e^2}{1-e^2} \right) \) \( D_{total} = 42 \left( \frac{1+0.4^2}{1-0.4^2} \right) \) \( D_{total} = 42 \left( \frac{1+0.16}{1-0.16} \right) \) \( D_{total} = 42 \left( \frac{1.16}{0.84} \right) \) \( D_{total} = 58 \text{ m} \)
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 metal plates each of area ' \(A\) ' form a parallel plate capacitor with air in between the plates. The distance between the plates is ' \(d\) '. A metal plate of thickness \(\frac{d}{2}\) and of same area \(A\) is inserted between the plates to form two capacitors of capacitances \(C_1\) and \(C_2\) as shown in the figure. If the effective capacitance of the two capacitors is \(C^{\prime}\) and the capacitance of the capacitor initially is \(C\), then \(\frac{C^{\prime}}{C}\) is
TS EAMCET 2013 Hard - A cylindrical wire \(P\) has resistance \(10 \Omega\). A second wire \(Q\) has length and diameter half that of \(P\). If the material of both the wires is same, then resistance of wire \(Q\) isTS EAMCET 2020 Easy
- Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 2.5 \mathrm{~m}, 2.6 \mathrm{~m}, 2.8 \mathrm{~m}\), \(3.0 \mathrm{~m}\). What would be the relative error?TS EAMCET 2021 Medium
- The de Broglie wavelength of a proton is twice the de Broglie wavelength of an alpha particle. The ratio of the kinetic energies of the proton and the alpha particle isTS EAMCET 2024 Medium
- For a given mass of a gas at constant temperature, the volume and the pressure are \(\mathrm{V}\) and \(\mathrm{P}\) respectively. Then the slope of the graph drawn between \(\log _e V\) on \(\mathrm{X}\)-axis and \(\log _{\mathrm{e}} \mathrm{P}\) on \(\mathrm{Y}\)-axis isTS EAMCET 2023 Medium
- A solid cylinder of mass and radius rolls down an inclined plane of height without slipping. The speed of its centre of mass when the cylinder reaches the bottom is [use ]TS EAMCET 2022 Medium
More PYQs from TS EAMCET
- The temperature at which the rms speed of oxygen molecules is \(75 \%\) of rms speed of nitrogen molecules at a temperature of \(287^{\circ} \mathrm{C}\) isTS EAMCET 2024 Easy
- A particle is executing simple harmonic motion with an amplitude \(A\) and time period \(T\). The displacement of the particles after \(2 T\) period from its initial position isTS EAMCET 2008 Easy
- \(A, B, C\) are points in a vertical line such that \(A B=B C\). If a body falls freely from rest at \(A, t_1\) and \(t_2\) are times taken to travel distances \(A B\) and \(B C\), then ratio \(\left(t_2 / t_1\right)\) isTS EAMCET 2015 Medium
- The ratio of the average translational kinetic energies of hydrogen and oxygen at the same temperature isTS EAMCET 2025 Easy
- A magnetic needle lying parallel to a magnetic field is turned through \(60^{\circ}\). The work done on it is \(W\). The torque required to maintain the magnetic needle in the position mentioned above isTS EAMCET 2012 Medium
- The force required to move a body up a rough inclined plane is double the force required to prevent the body from sliding down the plane. The coefficient of friction, when the angle of inclination of the plane is \(60^{\circ}\) isTS EAMCET 2014 Hard