78cm 66cm 56cm 46cm 37cm Solution A 10-g bulletmoving 1000 m/s strikes and passe

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A 10-g bulletmoving 1000 m/s strikes and passes through a 2.0-kg block initiallyat rest, as shown. The bullet emerges from the block with a speedof 400 m/s. To what maximum height will the block rise above itsinitial position? 78cm 66cm 56cm 46cm 37cm EXPLANATION: {Conservation Of Momentum}: ---->    {Final System Momentum} = {Initial System Momentum} ---->    (m_bullet)*(v_bullet_final) +(m_block)*(v_block_final) = (m_bullet)*(v_bullet_init) + (0) ---->    (10.0e-3)*(400) +(2.0)*(v_block_final) = (10.0e-3)*(1000) + (0) ---->    (v_block_final) = 3.0 m/sec {Block Initial Kinetic Energy} = {Max Potential Energy} ---->    (1/2)*(m_block)*(v_block_final)^2 = (m_block)*g*(h_max) ---->    (h_max) = (1/2)*((v_block_final)^2)/g ---->    (h_max) = (1/2)*((3 m/sec)^2)/(9.8) ---->    (h_max) = 0.4592 m = 46 cm .

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