Respuesta :
Answer:
Explanation:
Parameters given:
Mass of first cart, m = 12.5 kg
Mass of second cart, M = 3.5 kg
Initial velocity of first cart, u = 6.0 m/s
Initial velocity of second cart, v = 1.0 m/s
NOTE: Both carts stick together after collision, hence, they have the same final velocity, v
Using the principle of conservation of momentum, we have that the total initial momentum of the system is equal to the final momentum of the system:
Total Initial Momentum = Total Final Momentum
mu + MU = (m + M)v
Making v subject of formula:
[tex]v = \frac{mu+MU}{m + M}[/tex]
[tex]v = \frac{(12.5 * 6) + (3.5 * 1)}{12.5 + 3.5 } \\\\\\v = \frac{75 + 3.5}{16} \\\\\\v = \frac{78.5}{16}\\ \\\\v = 4.91 m/s[/tex]
The final speed of the two carts is 4.91 m/s.
