A mass of `0.98kg` attached on a spring of constant `K = 100Nm^(1)` is hit by a bullet of `20gm` moving with a velocity `20ms^(1)` horizontally The bullet gets embedded and system oscillation with the mass on horizontal and surface The amplitude of oscillation will be

A mass of 0.98kg attached on a spring of constant K = 100Nm^(1) is hit by a bules of 20gm moving with a velocity 20ms^(1) horizontally The bullet gas ambated and system oscilation with the mass on horizontal and surface The amplitude of oscilation will be

A mass of 0.98 kg suspended using a spring of constant K = 300 Nm^(-1) is hit by a bullet of 20g moving with a velocity 3m//s vertically. The bullet gets embeded and oscillates with the mass. The amplitude of oscillation is (neglect gravity)

A bullet of mass 'x' moves with a velocity y , hits a wooden block of mass z at rest and gets embedded in it. After collision, the wooden block and bullet moves with a velocity

A body of mass 0.5 kg is suspended by a weightless spring of force constant 500 Nm^(-1) . Another body of mass 0.1 kg moving vertically upwards with velocity of 5 ms^(-1) hits the suspended body and gets embeded into the suspended body. What will be the frequency of oscillation ?

A particle of mass 3 kg , attached to a spring with force constant 48Nm^(-1) execute simple harmonic motion on a frictionless horizontal surface. The time period of oscillation of the particle, is seconds , is

A body of mass 1.0 kg is suspended from a weightless spring having force constant 600Nm^(-1) . Another body of mass 0.5 kg moving vertically upwards hits the suspended body with a velocity of 3.0ms^(-1) and gets embedded in it. Find the frequency of oscillations and amplitude of motion.

A mass M=5 kg is attached to a string as shown in the figure and held in position so that the spring remains unstretched. The spring constant is 200 Nm^(-1) . The mass M is then released and begins to undergo small oscillations. The amplitude of oscillation is

In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When the mass is in equilibrium position, as shown in the figure, another mass m is gently fixed upon it. The new amplitude of oscillation will be :

A block of mass m moving with velocity v_(0) on a smooth horizontal surface hits the spring of constant k as shown. Two maximum compression in spring is