The recent success of the DART mission, which involved altering the orbit of an asteroid by smashing a spacecraft into it, takes us one step closer to achieving some form of planetary defence. Let's assume our spacecraft (mass ms) is moving with a velocity vo and that the asteroid (mass ma) is moving with a velocity v₁. Suppose the radius of the asteroid's orbit is 'r' and that we want to change it by a factor of 'k'. What is the velocity of the spacecraft after the collision? (Assume that the collision between the
The recent success of the DART mission, which involved altering the orbit of an asteroid by smashing a spacecraft into it, takes us one step closer to achieving some form of planetary defence. Let's assume our spacecraft (mass ms) is moving with a velocity vo and that the asteroid (mass ma) is moving with a velocity v₁. Suppose the radius of the asteroid's orbit is 'r' and that we want to change it by a factor of 'k'. What is the velocity of the spacecraft after the collision? (Assume that the collision between the
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![The recent success of the DART mission, which involved altering the orbit
of an asteroid by smashing a spacecraft into it, takes us one step closer to
achieving some form of planetary defence. Let's assume our spacecraft
(mass ms) is moving with a velocity v, and that the asteroid (mass ma) is
moving with a velocity v₁. Suppose the radius of the asteroid's orbit is 'r'
and that we want to change it by a factor of 'k'. What is the velocity of the
spacecraft after the collision? (Assume that the collision between the
spacecraft and the asteroid is elastic)
A
Vo +ma*(V₁- V(V²₁+ 2GM/Kr - 2GM/R))/ms](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff413a13f-4ccc-4089-b9ed-1c21a38ff098%2F0cff6546-e51b-4895-a9ef-89be597685fa%2Ffqj81ze_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The recent success of the DART mission, which involved altering the orbit
of an asteroid by smashing a spacecraft into it, takes us one step closer to
achieving some form of planetary defence. Let's assume our spacecraft
(mass ms) is moving with a velocity v, and that the asteroid (mass ma) is
moving with a velocity v₁. Suppose the radius of the asteroid's orbit is 'r'
and that we want to change it by a factor of 'k'. What is the velocity of the
spacecraft after the collision? (Assume that the collision between the
spacecraft and the asteroid is elastic)
A
Vo +ma*(V₁- V(V²₁+ 2GM/Kr - 2GM/R))/ms
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