A bullet moving with an initial speed of vo strikes and embeds itself in a block

Question

A bullet moving with an initial speed of vo strikes and embeds itself in a block of wood which is suspended by a string, causing the bullet and block to rise to a maximum height h. Which of the following statements is true of the collision? o The initial momentum of the bullet before the collision is equal to the momentum of the bullet and block at the instant they reach the maximum height h. the bullet immediately after the collision the potential energy of the bullet and block at the instant they reach the maximum O The initial momentum of the bullet before the collision is equal to the momentum of o The kinetic energy of the bullet and block immediately after the collision is equal to height h. energy of the bullet and block when they reach the maximum heighth energy of the bullet and block immediately after the colision O The initial kinetic energy of the bullet before the collision is equal to the potential o The initial kinetic energy of the bullet before the collision is equal to the kinetic

Explanation / Answer

Here all the five options are correct.

Explanation -

Momentum is always conserved whether the collision is elastic or non-elastic. So, options first and second are correct.

Further, initial kkinetic energy of the bullet is equal to the potential energy achieved by the bullet and the block at the maximum height. Also when we apply conservation of energy principle, initial kinetic energy of the bullet is the kinetic energy of the bullet + block system just after the collision. So the options third, fourth and fifth are correct.

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