Answer:
final speed of the first object: 17.73 cm/s
final speed of the second object: 24.23 cm/s
Explanation:
Data:
mass of the first object, m1 = 27.0 g
mass of the second object, m2 = 11.0 g
initial speed of the first object, v1i = 21.5 cm/s
initial speed of the second object, v2i = 15 cm/s
final speed of the first object, v1f = ? cm/s
final speed of the second object, v2f = ? cm/s
Elastic collisions formula:
v1f = (m1 - m2)/(m1 + m2) * v1i + 2*m2/(m1 + m2) * v2i
v1f = (27 - 11)/(27 + 11) * 21.5 + 2*11/(27 + 11) * 15
v1f = 17.73 cm/s
v2f = 2*m1/(m1 + m2) * v1i + (m2 - m1)/(m1 + m2)*v2i
v2f = 2*27/(27 + 11) * 21.5 + (11 - 27)/(27 + 11)*15
v2f = 24.23 cm/s
