An experiment is performed in deep space with two uniform spheres, one with mass 22.0 kg...

An experiment is performed in deep space with two uniform spheres, one with mass 22.0 kg and the other with mass 110.0 kg . They have equal radii, r = 0.10 mm . The spheres are released from rest with their centers a distance 37.0 mm apart. They accelerate toward each other because of their mutual gravitational attraction. You can ignore all gravitational forces other than that between the two spheres.

A) When their centers are a distance 27.0 mm apart, find the speed of the 22.0 kg sphere. V1=?

B)Find the speed of the sphere with mass 110.0 kg. V2=?

C)Find the magnitude of the relative velocity with which one sphere is approaching to the other. Vr=?

D)How far from the initial position of the center of the 22.0 kgkg sphere do the surfaces of the two spheres collide? L=? m

Expert Solution

genius_generous answered 2 years ago

Two uniform solid spheres, each with mass 0.800 kg and radius 8.00×10−2 m, are connected by...

Two uniform solid spheres, each with mass 0.800 kg and radius 8.00×10−2 m, are connected by a short, light rod that is along a diameter of each sphere and are at rest on a horizontal tabletop. A spring with force constant 157 N/m has one end attached to the wall and the other end attached to a frictionless ring that passes over the rod at the center of mass of the spheres, which is midway between the centers of the...

Two spheres, one solid, one a thin shell, each have a mass of 0.89 kg and...

Two spheres, one solid, one a thin shell, each have a mass of 0.89 kg and a radius of 11 cm. They are given the same torque of 0.13 mN acting for 7 s. Which sphere is rotating faster?

A space station in the shape of a uniform disk (mass 4.45x105 kg, radius 262 m)...

A space station in the shape of a uniform disk (mass 4.45x105 kg, radius 262 m) rotates with period 86.1 seconds. There are also 734 astronauts (whom you can treat as point particles) working inside the space station, each of mass 155 kg, and all standing on the outside rim and rotating with the station. Now, all the astronauts move to a conference room at the very center of the space station. Find the new period of the rotation of...

A space station in the shape of a uniform disk (mass 8.44x105 kg, radius 687 m)...

A space station in the shape of a uniform disk (mass 8.44x105 kg, radius 687 m) rotates with period 86.3 seconds. There are also 781 astronauts (whom you can treat as point particles) working inside the space station, each of mass 188 kg, and all standing on the outside rim and rotating with the station. Now, all the astronauts move to a conference room at the very center of the space station. Find the new period of the rotation of...

Two identical, uniform and frictionless spheres, each of mass m, rest in a rigid rectangular container...

Two identical, uniform and frictionless spheres, each of mass m, rest in a rigid rectangular container as shown in the figure. A line connecting their centers is at 45° to the horizontal. a)If the angle is increased to 90° think about what happens to the forces. This can help provide a check to your answers as we make a change to the problem. For all of the following questions, the configuration is now changed such that the line connecting their...

Consider the one-dimensional motion of a particle of mass ? in a space where uniform gravitational...

Consider the one-dimensional motion of a particle of mass ? in a space where uniform gravitational acceleration ? exists. Take the vertical axis ?. Using Heisenberg's equation of motion, find the position-dependent operators ? ? and momentum arithmetic operator ?? in Heisenberg display that depend on time. In addition, calculate ??, ?0, ??, ?0.

one end of a uniform beam of mass 5 kg is mounted at the wall by...

one end of a uniform beam of mass 5 kg is mounted at the wall by hinges and the other end is held by a cable which is connected to the ceiling. The cable forms a 60 degree angle with the horizontal beam. Applying the equilibrium condition, find the force of tension at the cable and the vertical and horizontal components of the force of the hinge Fv and Fh on the beam and indicate their directions.

Two spheres have the same diameter and mass, but one is solid and the other one...

Two spheres have the same diameter and mass, but one is solid and the other one is hollow. Assuming homogeneous densities and putting the origin at the center, calculate the inertia tensor of each sphere.

There are two identical, positively charged conducting spheres fixed in space. The spheres are 43.0 cm...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 43.0 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0675 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.100 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 41.0 cm...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 41.0 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0600 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.115 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially...

Question