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A bullet of mass $m = 10$ g flies horizontally into a block of mass $M = 0.99$ kg hanging on two threads and embeds itself in it. The block with the bullet then swings up and rises by $h = 5$ cm (see the figure). Find the speed $v_0$ of the bullet and the fraction of its initial kinetic energy that…
Two bodies of mass $m_1 = 3$ kg and $m_2 = 2$ kg move towards each other with speeds $v_1 = 4$ m/s and $v_2 = 6$ m/s. The collision is perfectly inelastic. Find the speed and direction of motion of the bodies after the collision.
A ball of mass $m_1 = 2$ kg moves at $v_1 = 3$ m/s and collides head-on with a stationary ball of mass $m_2 = 1$ kg. The collision is perfectly inelastic. Find the speed of the balls after the collision.
A ball of mass $m_1 = 1$ kg strikes a stationary ball of mass $m_2 = 3$ kg with speed $v_1 = 4$ m/s. The collision is perfectly elastic. Find the speeds of both balls after the collision.
A body of mass m₁ = 2 kg moves at v₁ = 4 m/s and collides head-on with a stationary body of mass m₂ = 6 kg. The collision is perfectly elastic. Find the velocities of both bodies after the collision.