TS EAMCET · Physics · Laws of Motion
A car is moving with velocity \(v\) at the top of a semi-circular hill of radius \(40 \mathrm{~m}\) such that the normal force on it is zero. Find the velocity \((v)\) of the car. [Use, \(g=10 \mathrm{~ms}^{-2}\) ]
- A \(15 \mathrm{~ms}^{-1}\)
- B \(20 \mathrm{~ms}^{-1}\)
- C \(30 \mathrm{~ms}^{-1}\)
- D \(40 \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(B) \(20 \mathrm{~ms}^{-1}\)
Step-by-step Solution
Detailed explanation
Given that, \(g=10 \mathrm{~m} / \mathrm{s}^2\) Velocity of car at top of hil \(\mathrm{l}=v\) Radius of semi-circular hill, \(R=40 \mathrm{~cm}\) Let mass of car \(=m\) Now, the centripetal force is equal to the net force acting on car at top.…
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
- If a disc of mass \(M\) and radius \(R\) rotates with an angular acceleration \(a_{\text {, }}\) of the torque acting on the disc isTS EAMCET 2018 Easy
- If \(200 \mathrm{MeV}\) of energy is released in the fission of one nucleus of \({ }_{92}^{236} \mathrm{U}\), the number of nuclei that must undergo fission to release an energy of \(1000 \mathrm{~J}\) isTS EAMCET 2011 Medium
- In a plane EM wave the electric field oscillates sinusoidally at a frequency of \(30 \mathrm{MHz}\) and amplitude \(150 \mathrm{~V} / \mathrm{m}\). Identify the correct expression of \(\overline{\mathrm{B}}\) assuming the wave is propagating along \(x\)-axis and is oscillating along \(y\)-axis.TS EAMCET 2022 Easy
- A wire of length \(l\) is bent into a circular loop of radius \(R\) and carries a current \(I\). The magnetic field at the centre of the loop is \(B\). The same wire is now bent into a double loop of equal radii. If both loops carry the same current \(I\) and it is in the same direction, the magnetic field at the centre of the double loop will beTS EAMCET 2009 Easy
- A metre stick is balanced on a knife edge at its centre. When four coins, each of mass \(2 \mathrm{~g}\) are put one on top of the other at \(10.0 \mathrm{~cm}\) mark, the stick it found to be balanced at \(46.0 \mathrm{~cm}\) mark. The mass of the metre stick isTS EAMCET 2022 Easy
- If \(\alpha_V\) and \(T\) are the coefficient of volume expansion and temperature for an ideal gas respectively, thenTS EAMCET 2020 Easy
More PYQs from TS EAMCET
- Four identical metal plates are located in air at equal distance \(d\) from each other. The area of each plate is \(S\). If the outer most plates are connected by a conducting wire as shown in the figure the capacitance between points \(A\) and \(B\) will be
TS EAMCET 2019 Easy - In an experiment, the coefficient of viscosity (in mPa s) of a liquid was determined as 2.62, 2.68, 2.58, 2.57, 2.54 and 2.55. The mean absolute error in the determination of the coefficient of viscosity of the liquid isTS EAMCET 2025 Medium
- The focal length of an equi-convex lens is greater than the radius of curvature of any of the surfaces. Then the refractive index of the material of the lens isTS EAMCET 2005 Medium
- A non-conducting thin disc of radius rotates about its axis with an angular velocity . The surface charge density on the disc varies with the distance from the center as , where and are constants. If the magnetic induction at the center is , the value of isTS EAMCET 2018 Medium
- A long slender rod is welded to a thin circular disc of diameter at a point on its circumference. The rod is in the same plane as that of the disc and forms a tangent to the disc. The radius of gyration of the disc about the rod (in ) isTS EAMCET 2019 Easy
- In a photo electric experiment, the wavelength of the light incident on the metal is changed from \(200 \mathrm{~nm}\) to \(400 \mathrm{~nm}\). The decrease in the stopping potential is close to [Use \(\mathrm{hc}=1240 \mathrm{eV}-\mathrm{nm}\) where \(\mathrm{h}=\) Planck's constant and \(\mathrm{c}\) is velocity of light]TS EAMCET 2022 Medium