Three asteroids of identical mass (M = 1.03×1012 kg) are orbiting their common center of mass...

Three asteroids of identical mass (M = 1.03×1012 kg) are orbiting their common center of mass in a perfect circle of radius R=75.8 km.

a. What is the period of orbit of one of these asteroids?

You are standing on one of the asteroids. You are standing on the side of the asteroid which faces out from the circle. Your goal is to jump up off the asteroid and escape the entire three asteroid system. The radius of the asteroid upon which you are standing is 710 meters.

b. If on Earth you can jump 1.01 meters, what final speed will you have when you escape the Asteroid cluster?

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Four asteroids, of mass M = 3 × 106 kg, are positioned at the corners of...

Four asteroids, of mass M = 3 × 106 kg, are positioned at the corners of an imaginary square of side length s = 2.4 × 108 m. Two other asteroids of mass m = 2 × 106 kg are positioned in the middle of the left and right sides of the square. If a spaceship is positioned at the middle of the bottom side of the square what is the net force on the ship in Newtons? weight of...

Four asteroids, of mass M = 3 × 10^6 kg, are positioned at the corners of...

Four asteroids, of mass M = 3 × 10^6 kg, are positioned at the corners of an imaginary square of side length s = 2.4 × 10^8 m. Two other asteroids of mass m = 2 × 10^6 kg are positioned in the middle of the left and right sides of the square. Mass of spaceship is 2000kg. If a spaceship is positioned at the middle of the bottom side of the square what is the net force on the...

Suppose two bodies are orbiting about their common center of mass, and the distance between the...

Suppose two bodies are orbiting about their common center of mass, and the distance between the bodies is a fixed distance d. Surely one possible configuration is the following: each body moves in a circle, the circles are concentric (centered at the center of mass of the system), and they have the same angular speed. Does it hold that this is the only possible configuration? Note: I believe the answer is yes but I am clueless about how to prove...

Three identical stars of mass M form an equilateral triangle that rotates around the triangle’s center...

Three identical stars of mass M form an equilateral triangle that rotates around the triangle’s center as the stars move in a common circle about that center. The triangle has edge length L. What is the speed of the stars? b.) What is the period of revolution? c.) What is the total potential energy of the 3 star system? Express your answers in terms of the star mass M and triangle edge length L. Hint: Draw a diagram showing the...

Two identical blocks of mass M = 2.60 kg each are initially at rest on a...

Two identical blocks of mass M = 2.60 kg each are initially at rest on a smooth, horizontal table. A bullet of very small mass m = 20 g (m << M) is fired at a high speed v. = 120 m/s towards the first block. It quickly exits the first block at a reduced speed of 0.40 v, then strikes the second block, quickly getting embedded inside of it. All the motion happens on the x-axis. (a) find the...

Problem 3.29 A star of mass 8 × 1030 kg is located at <6 × 1012,...

Problem 3.29 A star of mass 8 × 1030 kg is located at <6 × 1012, 2 × 1012, 0> m. A planet of mass 2 × 1024 kg is located at <2 × 1012, 5 × 1012, 0> m and is moving with a velocity of <0.6 × 104, 1.2 × 104, 0> m/s. (a) During a time interval of 1 × 106 seconds, what is the change in the planet's velocity? (b) During this time interval of 1...

Find the center of mass of two identical rod

Two identical rods each of mass (m) and length (L) are connected . Locate the centre of mass of the system.

Four identical particles of mass 0.50 kg each are placed at vertices of a 2.0 m...

Four identical particles of mass 0.50 kg each are placed at vertices of a 2.0 m * 2.0 m square and held there by four massless rods, which form the sides of the square. What is the rotational ineria of this rigid body about aubout an axis that (a) passes through the midpoints of opposite sides and lies in the plane of the square, (b) passes through the midpoint of one of the sides and is perpendicular to the plane...

The total mass of the dark matter halo is about 1012 MSun, or 2×1042 kg. To...

The total mass of the dark matter halo is about 1012 MSun, or 2×1042 kg. To simplify things, let’s assume this dark matter halo is spherical with a radius of about 100,000 light years, and that it is uniformly filled with whatever is responsible for dark matter. The following calculations will help you to com- pare different dark matter hypotheses to see if they are reasonable. You will need to use the formula for the volume of a sphere and...

A uniform disk with mass 8.5 kg and radius 8 m is pivoted at its center...

A uniform disk with mass 8.5 kg and radius 8 m is pivoted at its center about a horizontal, frictionless axle that is stationary. The disk is initially at rest, and then a constant force 31.5N is applied to the rim of the disk. The force direction makes an angle of 35 degrees with the tangent to the rim. What is the magnitude v of the tangential velocity of a point on the rim of the disk after the disk...

Subjects