At what rate, in watts, is the Earth losing rotational kinetic energy due to tidal braking? [Hint:The rotational kinetic energy of the earth,Erot=0.5I⊕ω2, where ω= 2π/P is the rotational angular speed,Pbeing the Earth’s rotationalperiod. The moment of inertia of the Earth, I⊕=(2/5)M⊕R⊕2.]

Q: A light rod of length 2L is free to rotate in a verticalplane about a frictionless pivot through its…

A: Given,The masses are m1, m2 and the total length of the rod is 2L.

Q: Imagine one such station with a diameter of 119 m, where the apparent gravity is 4.00 m/s2 at the…

A: Given The diameter of the station is d = 119 m. The apparent gravity or the centripetal acceleration…

Q: From information on the endsheets of this book, compute, for a point located on the surface of the…

A: Radius of earth at equator R = 6370 km = 6.37 x 106 m Period of rotation T = 24 hours

Q: How fast, in rpm (revolution per minute), would a 5.0 kg, 22-cm-diamater bowling ball have to spin…

A: mass, m = 5 kg  diameter, d = 22 cm  radius, r = 11 cm =0.11 m  Angular momentum, L = 0.23 kg m2/s

Q: Certain neutron stars (extremely dense stars) are believed to be rotating at about 1.9 rev/s. If…

A: We know:

Q: 3/220 The small spheres, which have the masses and ini- tial velocities shown in the figure, strike…

A: Given,

Q: Consider an asteroid with a radius of 18 km and a mass of 3.6×1015 kg . Assume the asteroid is…

A: Given:- Radius  R= 18 km =18 X 103 m mass of the asteroid m= 3.6 X 1015  kg  Find:- a) What is the…

Q: Apulsar is a rapidly rotating neutron star that emits radio pulses with precise synchronization,…

A:

Q: A weather satellite is to be placed in a circular orbit around the earth at an altitude of 300…

A:

Q: Estimate the kinetic energy of the Mars with respect to the Sun as the sum of the terms, that due to…

A:

Q: Suppose a star the size of our Sun, but with mass 5.0 times as great, were rotating at a speed of…

A: Introduction: Here in this problem we use conservation of angular momentum.  For system of masses⇒…

Q: A particle of mass 0.5g is travelling in a circle of radius R=1.5 m and with an angular velocity of…

A: Angular velocity (w)= 10 rad/s Radius (R)= 1.5 m Let the tangential velocity be V

Q: Calculate the moment of inertia Ix of the disk D defined byx2 + y2 ≤ R 2 (in meters), with total…

A: The rotational kinetic energy of the object when it rotates about its center of mass is given by the…

Q: A proposed space station includes living quarters in a circular ring 63.7 m in diameter. At what…

A: Given data: Diameter of circular ring is, D= 63.7 m Radius is, R= 31.85 m Acceleration due to…

Q: When you stand on the observation deck of the Empire StateBuilding in New York, is your linear speed…

A: Linear speed is given by,

Q: A 500-kg communications satellite is in a circular geosynchronous orbit and completes one revolution…

A: We have Given here, Mass of Satellite = 500 kg, Time to complete one revolution about the earth = 23…

Q: Consider a spherical asteroid with radius 28.2 km and mass of 5.69 × 1018 kg.  Suppose the asteroid…

A:

Q: What's the linear speed of a point on the equator of a planet whose radius is 5.2 times that of…

A: It's a concept of liner velocity

Q: At the instant when 0= 90 degrees, the satellite's body is rotating with an angular velocity of wi =…

A:

Q: Consider an asteroid with a radius of 17 km and a mass of 3.8×1015 kg. Assume the asteroid is…

A: Consider an asteroid with a radius of 17 km and a mass of 3.8×1015 kg. Assume the asteroid is…

Q: An uncrewed mission to the nearest star, Proxima Centauri, is launched from the Earth's surface as a…

A: Given data The initial speed of the spacecraft is given as u = 43.1 km/s.   Let us consider the…

Q: A compact disk, which has a diameter of 12.0 cm, speeds up uniformly from zero to 4.50 rev/s in 3.20…

A:

Q: An asteroid can be modeled as a right circular cylinder of radius 150 m and length 500 m with…

A: Given,

Q: What is the magnitude of angular momentum of JUST the partical circled to the system's mass center?

A: Mass of each particle (m)=0.5 kg Angular velocity of the body (ω)=2 rad/s Distance of the circled…

Q: A star of radius R = 2.3 * 108m rotates with an angular speed v = 2.4 * 10-6rad>s. Ifthis star…

A: Radius of the star, Ri = 2.3 × 108 m Angular speed, ωi = 2.4 × 10-6 rad/s Considering the mass of…

Q: A small ball of mass0.75 kg is attached to one endof a 1.25-m-long massless rod, and the other end…

A:

Q: d from the eq

A:

Q: For a mass point of mass m = 0.1 kg at a distance r=0.05 m from the axis of rotation, obtain…

A: Write down all the parameters and formula

Q: Calculate the angular momentum of mass 15 kg in an elliptical orbit of dimensions 10 cm and 20 cm…

A:

Q: An Earth satellite has its apogee at 2750 km above the surface of Earth and perigee at 490 km above…

A: radius of   earth at apogee(rA )=6378km+2750 km=9128km speed at apogee(vA )=830 m/s radius of earth…

Q: An Earth satellite has a perigee of 300 km and an apogee of 3,500 km above Earth's surface. How far…

A:

Q: An Earth satellite has a perigee of 300 km an apogee of 3500 km above Earth’s surface. How far is…

A:

Q: I don't understand why B would be the correct answer? Shouldn't the potential energy be decreasing…

A:

Q: The days on Mars and Earth are of nearly identical length. Earth's mass is 9.35 times Mars's mass,…

A: (a)  Write the ratio of the spin angular momenta of earth and mars.

Q: Certain neutron stars (extremely dense stars) are believed to be rotating at about 1 rev/s. If such…

A:

Q: Consider a spacecraft in an elliptical örbit áröund thế éärth. t the low point, or perigee, of its…

A: (given) p = 300 km     = 300,000 m q = 5000 km    = 5,000,000 m   Mass (Me) of an electron =…

Q: A new discovered asteroid were observed by astrophysicist. It is said to be moving along a circular…

A: Given that asteroid is moving in a circular path of diameter 600 km. hence, radius which is denoted…

Q: An asteroid were observed by astrophysicist. It is said to be moving along a circular path of…

A: Given diameter 600 km and velocity of (3t^2 ) rad/s. Angle =30° we have to find the magnitude of the…

Q: A space station is constructed in the shape of a wheel 20 m in diameter, with essentially all of its…

A:

Q: A point mass of .39kg is set to rotate about a fixed axis .76 m away. The mass is initially at rest…

A:

Q: The radius of gyration of a disc of mass 100 gm and radius 5 cm about an axis passing through its…

A: Given data: Mass of the disc M =100g The radius of the disc R= 5 cm=5×10-2m

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.