Spaceship 1 and spaceship 2 have equal masses of 150kg. Spaceship 1 has the speed of 0 m/s and spaceship 2 has a speed of 6 m/s. They collide and stick together and what is their speed ?

Respuesta :

Answer:

3 m/s

Explanation:

The computation of speed is shown below:-

We will compute the equation by using the law of conservation of momentum; also, the total momentum prior and following the collision must be conserved. Therefore we can write the equation is the following manner:-

[tex]m_1 u_1 + m_2 u_2 = (m_1 +m_2)v[/tex]

where the symbols represent

150 kg is the mass of spaceship 1  = m1

150 kg is the mass of spaceship 2  = m2

0 m/s is the initial velocity of spaceship 1  = u1

6 m/s is the initial velocity of spaceship 2 = u2

and v is the velocity of the 2 ships so that they can collide and combined together

For v we will get the following equation to reach the speed

[tex]v=\frac{m_1 u_1 + m_2 u_2}{m_1+m_2}[/tex]

[tex]=\frac{0+(150)(6)}{150+150}[/tex]

[tex]=3 m/s[/tex]