This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 3.21 x 10^6 kg and length 1116 meters. Small probes of mass 6342 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 2853 m/s with respect to the launch points, which are each located 370 m from the center of the rod. After 16 pairs of probes have launched, how fast will the station be spinning? a. 2.58 rpm b. 6.14 rpm c. 3.68 rpm d.8.60 rpm

Q: A barbell spins around a pivot at its center at A. The barbell consists of two small balls, each…

A: Given- mass of ball , m = 500 g =0.5 kg length of rod , d = 30 cm =0.30 m radius of rotation , r…

Q: We have a non-rotating space station in the shape of a long thin uniform rod of mass 2.60 x 10^6 kg…

A: Since the system has no external torque, the angular momentum of the system will be conserved.…

Q: how fast will the station be spinning?

A: We know if anything is revolving at an angular speed w and radius is r then the acceleration is…

Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…

A:

Q: As Halley’s comet orbits the sun, its distance from the sun changes dramatically. If the comet’s…

A:

Q: Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft…

A:

Q: The moon has a mass of 7.35x10²² kg, a radius of 1,738 km, and an angular velocity of 1 revolution…

A:

Q: A light rod of length { = 1.00 m rotates about an axis perpendicular to its length and passing…

A:

Q: A spinning star begins to collapse under its own gravitational pull. Which one of the following…

A: Neutron star A neutron star is the collapsed core of a massive supergiant star. Neutron star is the…

Q: Earth orbits Sun... (Choose the right answer.)  a Earth orbits Sun in elliptical path at slower…

A: Areal Velocity: It is a pseudo vector that is equal to the rate of change of area swept by a…

Q: space station in the shape of a long thin uniform rod of mass 3.50 x 10^6 kg and length 1499 meters.…

A: Solution

Q: shape of a long thin uniform rod of mass 9.03 x 10^6 kg and length 1153 meters. Small probes of mass…

A:

Q: In the figure, two satellites, A and B, both of mass m = 36.8 kg, move in the same circular orbit of…

A: using conservation of momentum and  orbital velocity concept.

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.07…

A:

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.23…

A: given that,M=4.23×106 kgL=660 mm=9078 kgv=3658 msd=235 mn=12

Q: The perihelion of Halley’s comet is 0.586 AU and the aphelion is 17.8 AU. Given that its speed at…

A:

Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…

A: Given information:

Q: s time we have a non-rotating space station in the shape of a long thin uniform rod of mass 1.20 x…

A: GivenMass of rod, M=1.2×106 kgLength of rod, L=1428 mFor probesMass of small probe, m=6066 kgSpeed…

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 9.92…

A:

Q: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely…

A:

Q: A ring (2 kg, r = 1 m) rotates in a CW direction with initial angular velocity 20 s-1. A disk (4 kg,…

A: Given : mr=2 kgrr=1 mωr=20 s-1 md=4 kgrd=1 mωd=50 s-1

Q: The perihelion of the comet La Sagra is 1.37 AU and the aphelion is 7.49 AU. Given that its speed at…

A:

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 9.74…

A:

Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…

A:

Q: We have a non-rotating space station in the shape of a long thin uniform rod of mass 4.51 x 10^6 kg…

A:

Q: Disk - 0.20 m A coin C of mass 0.050 kg is placed on a horizontal disk at a distance of 0.20 m from…

A: Recall If a particle rotates with constant angular velocity on circel then ω=2πt  where t is time to…

Q: An ice skater is spinning about a vertical axis with arms fully extended. If the arms are pulled in…

A: If the arms of the skater is pulled closer , to the body, then the moment of inertia will decrease ,…

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 1.79…

A:

Q: A 40-gram point mass is traveling at a velocity of v = 2.6 m/sec parallel    to the x-axis along…

A: A 40-gram point mass is traveling at a velocity of v = 2.6 m/sec parallel to the x-axis along the…

Q: d from the eq

A:

Q: A ball of mass 160 g is thrown up at an angle of 60° to the horizontal at a speed of 10 ms. The…

A:

Q: The perihelion of the comet LINEAR-Skiff is 2.12 AU and the aphelion is 6.11 AU. Given that its…

A:

Q: A particle of mass m is under the central force created by the potential energy U(r)=A*r (A>0). The…

A:

Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…

A:

Q: In the game of tetherball a rope with length L 1.50 m connects a ball with mass m = 0.750 kg to the…

A:

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.07…

A: Given, Mass of rod, M = 4.07 x 10^6 kg Length of rod, L = 1052 m Mass of probes, m = 9923 kg…

Q: Consider a satellite is moving around the earth. The specific energy and specific angular momentum…

A: Assume a satellite is moving around the Earth. Assume the semi major axis of Earth is denoted by a.…

Q: A light rod of length ℓ = 1.00 m rotates about an axis perpendicular to its length and passing…

A: Given: Mass m1 = 4.25 kg. Mass m2 = 3.0 kg. Length of rod l = 1.0 m.

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 1.98…

A:

Q: A 3.0-kg mass slides on a frictionless horizontal surface with a speed of 3.0 m / s when it collides…

A: m1=3 kgm2=1 kgu1=3 m/su2=0 m/s Using conservation of linear momentum,…

Q: Three children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius 1.7…

A: there is no external force in system so we can apply conservation of angular momentum.

Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…

A:

Q: A light rod of length ℓ = 1.00 m rotates about an axis perpendicular to its length and passing…

A: Length of the rod (l)= 1m Masses attached are 4.1kg and 3kg  Angular speed (w)= 2.7rad/s

Q: A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 10° m. What is the angular…

A: Given a 1500-kg(m) satellite orbits a planet in a circular orbit of radius(r) 6.2 × 106 m. We have…

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 8.40…

A: Consider the given data as below. Mass of rod, Mrod=8.40×106 kg Length of rod, Rrod=1137 m Small…

Q: We have a non-rotating space station in the shape of a long thin uniform rod of mass 2.60 x 10^6 kg…

A:

Q: R m 10 The figure above represents a small, flat puck with mass m = 2.40 kg sliding on a…

A: Given Mass of the flat puck, m=2.40kg Radius, R=1.50m Puck speed, v=5.00 m/s Ball mass, mb=1.30kg

Q: A puck of m = 0.049 kg is attached to a taut light cord passing through a small hole in a…

A:

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.