Question

Spaceship 1 and spaceship 2 have equal masses of 300 kg. spaceship 1 has a speed of 0 m/s, and spaceship 2 has a speed of 6 m/s. they collide and stick together. what is their speed?

Answer 1

The final speed is 3 m/s

Explanation:

We can solve this problem by using the law of conservation of momentum. In fact, in absence of external forces, the total momentum of the two spaceships must be conserved. So we can write:

$p_i = p_f\\m_1 u_1 + m_2 u_2 = (m_1 + m_2)v$

where

$m_1 = m_2 = 300 kg$ is the mass of each spaceship

$u_1 = 0 m/s$ is the initial velocity of spaceship 1

$u_2 = 6 m/s$ is the initial velocity of spaceship 2

v is the combined velocity of the two spaceships after the collision

Solving for v, we find

$v=\frac{m_2 u_2}{m_1+m_2}=\frac{(300)(6)}{300+300}=3 m/s$

So, their final speed is 3 m/s.

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