Respuesta :
This problem can be solved through the Inelastic Collision Formula:
mass1 x in.velocity1 + mass2 x in.velocity2 = mass1+mass2 (final velocity)
Substituting the values, we have:
0.40 kg x in.velocity1 + 0.40 kg x 0 m/s = 0.80 kg (8.0m/s)
Solving for the unknown initial velocity of the moving hockey puck we have:
in.velocity1 = (6.4 kgm/s - 0) / 0.40 kg
= 16 m/s
mass1 x in.velocity1 + mass2 x in.velocity2 = mass1+mass2 (final velocity)
Substituting the values, we have:
0.40 kg x in.velocity1 + 0.40 kg x 0 m/s = 0.80 kg (8.0m/s)
Solving for the unknown initial velocity of the moving hockey puck we have:
in.velocity1 = (6.4 kgm/s - 0) / 0.40 kg
= 16 m/s
Answer
= 16 m/s
Explanation
The law conservation of energy states that, momentum before collision is equal to momentum after collision.
m₁v₁ = m₂v₂
momentum before collision = (0.40 × v) + (0.40 × 0)
= 0.4v Km/s
momentum after collision = (0.40+0.40) × 8.0
= 0.8 ×8.0
= 6.4 Km/s
m₁v₁ = m₂v₂
0.4v Km/s = 6.4 Km/s
v = 6.4/0.4
= 16 m/s