Consider a race betweenthe following three objects: object 1, a disk; object 2, a solid sphere;and object 3, a hollow spherical shell. All objects have the samemass and radius. (a) Rank the three objects in the order in whichthey finish the race. Indicate a tie where appropriate. (b) Rank theobjects in order of increasing kinetic energy at the bottom of theramp. Indicate a tie where appropriate

Q: An exploding star: A planet of mass m is in a circular orbit about a star of mass M at an initial…

A: Gravitational force would balance the centripetal force:    mrω2=GMmr2  ω=GMr31/2   After explosion:…

Q: A spacecraft draws an elliptical orbit with a minimum distance of ha=2400 km to the earth and a…

A: The altitude at point A, hA=2400 kmThe altitude at point B, hB=9600 kmThe radius of earth, RE=6370…

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: Given : Rpe = 1.37 AU Rap = 7.49 AU vpe = 33 km/s

Q: The two particles of mass m and 2m, respectively, are connected by a rigid rod of negligible mass…

A: "You have asked to take 2m as 2.5 kg and m as 6.25 kg, which is not possible. Because the value of…

Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What…

A: Escape speed can be defined as the minimum speed needed for non- propelled object to escape from the…

Q: ex. The escape velocity at the surface of the earth is approximately 8 km/s. What is the escape…

A: Given data: Escape velocity at the surface of the earth v = 8 km/s The radius of planet (rp) = 4r…

Q: A wheel of roudius r=40 CM rotates around fixed axis wih du acceleation d=3 rovolutions/s, At t=o…

A: "As per the guidelines i solved the first three subpart". (a) According to rotational kinematics…

Q: A comet of mass me is in an elliptical orbit around the sun (mass Mo), which is located at one focus…

A:

Q: what is happening to the material that will become the new Moon? O That material is being ejected…

A: What is happening to the material that will become the new moon.

Q: A bus uses the kinetic energy of the flywheel, which is supplied by the electricity at stations. How…

A: Given data:

Q: Log A Siope 2 Logd 0.1 The relationship between the area (A) of several disks ond their…

A:

Q: A ball is released from rest and rolls without sliding on an inclinedTamp, for this to be possible…

A: A ball is rolling without slipping over the ramp. It means that the ball have both rotational and…

Q: (a) Calculate the work (in MJ) necessary to bring a 104 kg object to a height of 991 km above the…

A: Given data: a). The mass, m2=104 kg The height, h=991 km

Q: The diagram shows an exploratory satellite in a circular polar orbit at a height of 250km above…

A: An exploratory satellite placed in the stable orbit around the earth by using multistage rocket. To…

Q: On a fictitious planet, you weigh a satellite and find it to be 500 N. The satellite is then put…

A: If M is the mass of the planet, R is the radius of the planet and h is the height above which the…

Q: Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's…

A: Given:- Satellite A is to orbit at an altitude of 5730 km. satellite B is to orbit at an altitude of…

Q: Gonna need some help on how to do this problem

A: (a) Work done is

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A: Let mE be defined as the mass of the Europa satellite and d be defined as the diameter of the…

Q: The expression we developed in class for the angular momentum (per unit mass of the orbiting comet…

A: Given: Expression developed in class earlier, Angular momentum is  Lm=2πa21-e2P…

Q: You have one LAST attempt You are observing an exoplanet (a planet orbiting a star other than our…

A:

Q: Q. 55 A planet in a distant solar system is 10 times more massive than the earth and its radius is…

A: To find- (Ve)planet Given-M1=mass of earthM2=mass of planetM2=10M1R1=radius of earthR2=radius of…

Q: On a fictitious planet, you weigh a satellite and find it to be 500 N. The satellite is then put…

A: (i) Given: The weight of the satellite is 500 N. The distance between the planet and the satellite…

Q: On an asteroid like Bennu, where NASA just landed a probe on October 20, a pressurized nitrogen…

A:

Q: Don't use chat gpt

A: Trajectory of a Point on the Circumference of a Disc Rolling on a Flat Surface:A point on the…

Q: A rack of seven spherical bolwing halls (each 6.50 kg, radius of 10.1 cm) is positioned along a line…

A: Given, mass of each ball is M=6.5kg the radius of each ball is r=10.1cm=10.1×10-2m At point P,…

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

A: Explained as, F=-GMMR+y2

Q: Consider a spacecraft in an elliptical orbit around theearth. At the low point, or perigee, of its…

A: In astrophysics, Kepler’s third law of planetary motion has described the relationship between the…

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A:

Q: A comet travels around sun in elliptical orbit. Its mass is 105 kg. When it is 2.5 x 1010 m away its…

A: Given: The mass of the orbit is 105 kg. The distance is 2.5x1010 m. The speed is 2x103 m/s. The…

Q: Consider a large massive spherical shell object. With all of its mass M is distributed at its radius…

A: Newton's law of gravitation states that, every object in the universe attracts every other object…

Q: The perihelion of the comet TOTAS is 1.69 AU and the aphelion is 4.40 AU. Given that its speed at…

A: Given:  distance of perihelion, rp = 1.69 AU  velocity of perihelion, vp = 28 km/s distance of…

Q: origin.CalculaTe K:E when object Spins at 1rad/s around 7-axis-

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Q: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…

A:

Q: projectile is shot directly away from Earth's surface. Neglect the rotation of Earth (a) As a…

A:

Q: Two bodies rotate (A,B) If IA =0.5 IB and KEA=8KEA, then (LB) is equal to:

A: GivenIA=0.5IBKEA=8KEBformulasKE=12Iω2              Rotational kinetic energyL=Iω…

Q: The radius of a planet is “R” and mass is “M”. A satellite revolves around it in an orbital radius…

A:

Q: Using air pressure, the 0.9-kg ball is forced to move through the tube lying in the horizontal plane…

A: It is given that,                        The value of r is                         The value of…

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.