In a faraway galaxy, a meteoroid is moving along a straight line that will pass a planet at a distance of 5RP from the planet's center, where RP is the planet's radius. What minimum speed must the meteoroid have if it is not to collide with the planet? (Assume the meteorite is detected when it is very far from the planet. Use the following as necessary: RP, MP for the mass of the planet, and G. Note that the P subscripts are uppercase. Write an expression in terms of v=)

In a faraway galaxy, a meteoroid is moving along a straight line that will pass a planet at a distance of 5RP from the planet's center, where RP is the planet's radius. What minimum speed must the meteoroid have if it is not to collide with the planet? (Assume the meteorite is detected when it is very far from the planet. Use the following as necessary: RP, MP for the mass of the planet, and G. Note that the P subscripts are uppercase. Write an expression in terms of v=)

Related questions

Q: The first known collision between space debris and a functioning satellite occurred in 1996: At an…

Q: A very massive star with an M mass has a geometric shape of a sphere hollow, where the mass is…

Q: A planet is discovered orbiting a distant star. The mass of the planet is 40 times the mass of the…

A: The equation for the escape speed is given by, ve=2GMR Here, G is the universal gravitation…

Q: There are three end states for stars that run out of fuel. When stars run out of fuel, gravitational…

A: Let the mass of the sun be MS , Ms = 1.99 x 1030 kg Mass of the neutron star , MNS = 2Ms Radius of…

Q: At apoapsis (furthest point from the star), the

Q: In fact, the actual orbit that the GS entered was slightly elliptical, with its closest approach to…

Q: The code Orbit (Appendix J) can be used to generate orbital positions, given the mass of the central…

A: Required : Plots of the orbits.

Q: Very far from earth (at R=∞), a spacecraft has run out of fuel and its kinetic energy is zero. If…

A: Solution:Explanation:Mechanical energy includes both kinetic energy (energy due to motion) and…

Q: (a) What is the escape speed on a spherical asteroid whose radius is 106 km and whose gravitational…

Q: Sun is far. beyond.the.orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This…

A: Given: A comet is in an elliptical orbit around the sun.its closet distance is 4.6x1010 m, at which…

Q: A team of astronauts is on a mission to land on and explore a large asteroid. In addition to…

A: Given: The volume is V=1.94X1012 m3. The density is ρ=2.93×106 gm3. The gravitational constant is…

Q: A planet is in an elliptical orbit around a distant star. At periastron (the point of closest…

Q: The star Sirus A has a mass of 2.06 MO and a radius of 1.71 RO, where M0 is the mass of the Sun…

Q: A projectile is fired vertically from a planet's surface with an initial speed of 6.5 km/s. Neglect…

Q: (a) What is the escape speed on a spherical asteroid whose radius is 103 km and whose gravitational…

Q: NOTE: Your answer suggests that you have assumed constant gravitational

A: Explained as, F=-GMMR+y2

Q: A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it…

A: Let h represent the bullet's climb in height. Gravitational acceleration changes with height as…

Q: a) Derive the escape speed vII (sometimes called the second cosmic speed) from the surface of body…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

Q: Consider an object that is in an elliptical orbit with semimajor axis a = 7.9×106 m about a planet…

A: Relation b/w the apogee ( furthest ) and perigee (closest) point with Semimajor axis(a) are as:…

Q: (a) What is the escape speed on a spherical asteroid whose radius is 502 km and whose gravitational…

A: radius , R = 502 km = 502 x 103 m gravitational acceleration , ag = 0.87 m/s2 radial speed , v =…

Q: A planet has a radius of 4.00 x 10^6 m, and rotates so rapidly that an object on the equator feels…

A: Given R=4.00 x 106 W = mg10

Q: t is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5 x…

A: Angular momentum of comet around sun remains constant.

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

Question

In a faraway galaxy, a meteoroid is moving along a straight line that will pass a planet at a distance of 5R_P from the planet's center, where R_P is the planet's radius. What minimum speed must the meteoroid have if it is not to collide with the planet? (Assume the meteorite is detected when it is very far from the planet. Use the following as necessary: R_P, M_P for the mass of the planet, and G. Note that the P subscripts are uppercase. Write an expression in terms of v=)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the escape velocity ve for an object of mass m that is initially at a distance R from the center of a planet of mass M. Assume that R≥Rplanet, the radius of the planet, and ignore air resistance. Express the escape velocity in terms of R, M, m, and G, the universal gravitational constant.
A satellite is in a circular orbit of radius r around the Earth. (Use the following as necessary: G, ME, and r.) a) Determine an expression that will allow you to find the speed of the satellite. b)The satellite splits into two fragments, with masses m and 4m. The fragment with mass m is initially at rest with respect to the Earth, then falls straight towards the Earth. The fragment with mass 4m moves with initial speed vi. Find an expression for vi. c)Because of the increase in its speed, this larger fragment now moves in an elliptical orbit. Find an expression for the fragment's distance away from the center of the Earth when it reaches the far end of the ellipse.
) Several planets possess nearly circular surrounding rings, perhaps composed of material that failed to form a satellite. In addition, many galaxies contain ringlike structures. Consider a homogeneous ring of mass M and radius R. a) What gravitational attraction does it exert on a particle of mass m located a distance x from the center of the ring along its axis? b) Suppose the particle falls from rest as a result of the attraction of the ring of matter. Find an expression for the speed with which it passes through the center of the ring. (a: see notes from class, b: Use the definition of potential energy.)
A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 × 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 10¹2 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed= i ! m/s
(a) What is the escape speed on a spherical asteroid whose radius is 274 km and whose gravitational acceleration at the surface is 0.444 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 311 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 289.4 km above the surface?
A piece of spacecraft debris initially at rest falls to the earth’s surface from a height above the earth equal to one-half of the earth’s radius. Find the speed at which the piece of debris hits the surface. Neglect air resistance and the gravitational pull of the moon.
(a) What is the escape speed on a spherical asteroid whose radius is 803 km and whose gravitational acceleration at the surface is 1.75 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 1330 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1811 km above the surface?
(a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm. m/s
A mood of a mass m and raduis a is orbiting a planet of mass M and if radius b at a distance d (center to center) in a circular orbit. Derive an expression for the speed of the mood v in terms of M,d and the gravitational constant G.
Consider the observation that the acceleration due to the gravitational force acting on a mass around a host planet decreases with the square of the separation between the objects. We can ask ourselves: why is it still accurate to consider a gravitational acceleration value of 9.8\frac{m}{s^2}9.8s2m for all of our projectile motion problems and all of our gravitational potential energy from prior modules? Let's analyze a situation and justify this analysis method: consider an object being launched from ground level to an altitude of 10,000 meters, roughly the cruising altitude of most jet liners, and far above our everyday experiences on Earth's surface. Compare the gravitational acceleration of the object at Earth's surface (the radius of Earth is about r_E=6.37\times10^6mrE=6.37×106m) to the acceleration value at the 10,000 meter altitude by determining the following ratio: g10,000m/gsurface
A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 x 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = m/s
SSM (a) What is the escape speed on a spherical asteroid whose radius is 500 km and whose gravitational acceleration at the surface is 3.0 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid’s surface with a radial speed of 1000 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1000 km above the surface?