Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Olympiad workbookNSEPRotational Motion

A block B of mass 0.5 kg moving, on a horizontal frictionless table at 2.0 ~ms ⁻¹ , collides with a massless pan P (at origin O ) and sticks to it. The pan is connected at the end of a horizontal un-stretched (relaxed) spring of force constant K =32 Nm ⁻¹ as shown in figure. After the block collides, the displacement x(t) of the block as a function of time t is given by

Options

  1. A0.25 8 t m
  2. B0.25 8 t ~m
  3. C2.50 t 8 m
  4. D0.50 4 t m

Correct answer

B. 0.25 8 t ~m

Step-by-step solution

No Solution

Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

A sphere of radius R made up of Styrofoam (light polystyrene material) has a cavity of radius R / 2 . The centre of the cavity is situated at a distance of R / 2 from the centre ofA ball A of mass 1 kg moving at a speed of 5 ~m / s strikes tangentially another ball B initially at rest. The ball A then moves at right angles to its initial direction at a speedConsider two point masses m₁ and m₂ connected by a light rigid rod of length r₀ . The moment of inertia of the system about an axis passing through their centre of mass and perpendTwo point masses m₁ and m₂ are connected at the ends of a light rigid rod of length l . The moment of inertia of the system about an axis through their centre of mass and perpendicA particle at rest explodes into two fragments of masses m₁ and m₂ (m₁>m₂ ) which move apart with nonzero velocities. If ₁ and ₂ are their de Broglie wavelengths respectively, thenA ball of mass m hits directly another ball of mass M at rest and is brought to rest by the impact. One third of the kinetic energy of the ball is lost due to the collision. The coTwo particles A and B of equal masses have velocities v_A =2 + and v_B =- +2 . The particles move with accelerations a_A =-4 - and a_B =-2 +3 respectively. The centre of mass of thRocket fuel is capable of giving an exhaust velocity of V_ rel =2.4 ~km / s in the absence of any external forces. The fuel required per kg of the payload to provide an exhaust vel Full Rotational Motion list All Olympiad workbook PYQs