The moon will recoil at the speed of 1.02 x 10⁻⁹ km/s.
From the given question:
- The mass of steroid = 5.00 x 10¹² kg
- Velocity of asteroid V1 = 15.0 km/s
- Mass of moon = 7.36 x 10²² kg
- The recoil velocity of moon = ?
- Where, the mass of steroid = M1
- The velocity of asteroid = V1
- The mass of the moon = M2
Therefore, we should determine V2
<h2>Further Explanation</h2>
According to the question, supposing external forces acted on them (perfectly inelastic collision), then momentum is conserved. This also implies that their forces are equal and opposite in all instant.
Therefore, the law of conservation of momentum can express as:
M1 x V1 = M2 x V2
V2 = M1 x V1 / M2
If you substitute the value, then we have:
V2 = 5.00 x 10¹² kg x 15.0 / 7.36 x 10²² kg
V2 = 1.02 x 10⁻⁹ km/s.
Conservation of momentum basically describes Newton’s third of motion. It is commonly used to describe collision between two bodies. However, if two bodies collide with each other, the forces of these two bodies are the same and opposite at the same time.
LEARN MORE:
- At what speed, in meters per second, does the Moon recoil after the perfectly inelastic collision? The mass of the Moon is 7.36 × 1022 kg? brainly.com/question/14667262
- The moon’s orbital speed around Earth is 3.680 × 10^3 km/h. Suppose the moon suffers a perfectly elastic collision with a comet whose mass is 50.0 percent that of the moon. brainly.com/question/14392613
KEYWORDS:
- moon crater
- meteorite collision
- momentum is conserved
- perfect inelastic
- mass of moon
