Question

A car with a mass of 1,250 kgkilo gramtravels at 2.24 m/smetre per second and bumps into a stopped car with a mass of 1,300 kgkilo gram. After the collision, the two cars stick together and move forward. How fast will they both move forward? Round your answer to two decimal places.(1 point)
Responses

0.55 m/s2
0.55 meter per second squared

1.14 m/s2
1.14 meter per second squared

1.10 m/s2
1.10 meter per second squared

0.57 m/s2

Answer 1

Use conservation of momentum: v = (m1 v1 + m2 v2) / (m1 + m2).

v = (1250·2.24 + 1300·0) / (1250 + 1300) = 2800 / 2550 = 1.0980... ≈ 1.10 m/s.

So the correct response is 1.10 m/s (rounded to two decimals).