Chemistry, 29.06.2019 04:30 samueltaye

The moon's craters are remnants of meteorite collisions. suppose a fairly large asteroid that has a mass of 5.00×10^12 kg (about a kilometer across) strikes the moon at a speed of 15.0 km/s. at what speed does the moon recoil after the perfectly inelastic collision (the mass of the moon is 7.36×x10^22 kg)

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Answer from: LillySchool6529

Given:

Mass of asteroid, M1 = 5.00*10¹² kg

Velocity of asteroid V1 = 15.0 km/s

Mass of moon, M2 = 7.36*10²² kg

To determine:

The recoil velocity of moon, V2

Explanation:

Since the collision is perfectly inelastic, momentum is conserved. therefore,

M1 * V1 = M2* V2

V2 = M1*V1/M2 = 5.00*10¹² *15.0 /7.36*10²² = 1.02*10⁻⁹ km/s

Answer from: xojade

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/sMass of moon = 7.36 x 10²² kg The recoil velocity of moon = ?Where, the mass of steroid = M1The velocity of asteroid = V1The mass of the moon = M2

Therefore, we should determine V2

Further Explanation

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? 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.

KEYWORDS:

moon cratermeteorite collisionmomentum is conservedperfect inelasticmass of moon

Answer from: Quest

It d from what i know

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