Respuesta :
Answer: 20 m/s
Explanation:
Given
mass of bowling ball m=10 kg
Mass of bowling pin M=20 kg
The initial velocity of ball u=10 m/s
The velocity of the pin after collision [tex]v_2=15\ m/s[/tex]
Conserving linear momentum as there is no external force applied
[tex]mu=mv_1+Mv_2\quad \quad (v_1=\text{velocity of ball after collision})[/tex]
[tex]10\times10=10\times v_1+20\times15\\10v_1=100-300\\v_1=-20\ m/s[/tex]
i.e. ball started moving in the direction opposite of its initial direction with a velocity of 20 m/s
The ball moves backwards with a velocity of -20m/s
The data given are;
- m[tex]_1[/tex] = 10kg
- m[tex]_2[/tex] = 20kg
- u[tex]_1[/tex] = 10m/s
- v[tex]_1[/tex] = ?
- v[tex]_2[/tex] = 15m/s
Law of conservation of linear momentum
This law states that assuming no external forces are acting, when two bodies collide together, the sum of their initial momentum remains constant and it's not changed by their collision.
Applying the law of conservation of linear momentum
[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2\\(10*10) + (20*0) = (10*v_1)+(20*15)\\100+0=10v_1+300[/tex]
collect like terms
[tex]100=10v_1+300\\100-300=10v_1\\-200=10v_1\\v_1=\frac{-200}{10}\\v_1=-20m/s[/tex]
This shows that the balls moves backwards hence the reason why it have a negative velocity.
From the calculation above, the ball moves backwards with a velocity of -20m/s.
Learn more on conservation of linear momentum here;
https://brainly.com/question/7538238
https://brainly.com/question/25545050
