1

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

A body of mass 1 kg falls freely from a height of 100 m, on a platform mass 3 kg which is mounted on a spring having spring constant k = 1.25 $$ \times $$ 10

^{6}N/m. The body sticks to the platform and the spring's maximum compression is found to be x. Given that g = 10 ms^{–2}, the value of x will be close to :2

JEE Main 2019 (Online) 10th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0.02 kg is fired vertically upward, with a velocity 100 ms

^{–1}, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is - (g = 10 ms^{–2})3

JEE Main 2019 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Two masses m and $${m \over 2}$$ are connected at the two ends of a massless rigid rod of length l. The rod is suspended by a thin wire of torsional constant k, at the centre of mass of the rod-mass system(see figure). Because of torsional constant k, the restoring torque is $$\tau $$ = k$$\theta $$ for angular displacement $$\theta $$. If the rod is rotated by $$\theta $$

_{0}and released, the tension in it when it passes through its mean position will be :4

JEE Main 2019 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m while C has mass M, Block A is given an initial speed $$\upsilon $$ towards B due to which it collides with B perfectly inelastically. The combined mass collides with C, also perfectly inelastically $${5 \over 6}$$th of the initial kinetic energy is lost in whole process. What is value of M/m ?

Questions Asked from Center of Mass and Collision (MCQ (Single Correct Answer))

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