Question

The titanic hit an iceberg estimated to be half her mass. Before hitting the iceberg, the Titanic was estimated to be going 22 knots. After hitting the iceberg, the titanic was estimated to being going at 6 knots. How fast was the iceberg going after the collision?

Answer 1

Explanation :

Let the mass of the titanic is $m$.

so, mass of an iceberg is $\dfrac{m}{2}$

Before collision,

Iceberg is at rest,  $u_i=0$

initial speed of titanic, $u_t=22\ Knots$

After collision,

Final speed of titanic is, $v_t=6\ Knots$

Final speed of iceberg is, $v_i=?$

since, it is a elastic collision. So, the momentum remains conserved.

$m_tu_t+m_iu_i= m_tv_t+m_iv_i$

$m\times 22+0=m\times6+\dfrac{m}{2}\times v_i$

so, $v_i=32\ knots$

Hence, after collision the iceberg will move with velocity of 32 Knots.