Consider an asteroid with a radius of 18 km and a mass of 3.6×1015 kg . Assume the asteroid is roughly spherical. What is the acceleration due to gravity on the surface of the asteroid?       Suppose the asteroid spins about an axis through its center, like the Earth, with a rotational period T. What is the smallest value T can have before loose rocks on the asteroid's equator begin to fly off the surface?

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.95 m, rotating with an angular…

A: a) The expression for find centripetal acceleration is ac=v2r=ωr2r=ω2r Insert values in the above…

Q: The centripetal force of a rotating object in a circular path of a diameter of 60 cm and a mass of…

A:

Q: It has been suggested to place rotating cylinders about 22 km long and 10 km in diameter in space as…

A: Solution: Given: 1 km = 1000 m G = gravitational constant = 6.67 x 10-11 N.m2/kg2 M = mass of new…

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A:

Q: A bob of mass m = 0.300 kg is suspended from a fixed point with a massless string of length L = 22.0…

A: Given,

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A: It is given that m=0.5 kgr=1.2 mT=20 N

Q: A planet orbits a star, in a year of length 2.77 x 107 s, in a nearly circular orbit of radius 3.78…

A:

Q: It has been suggested that rotating cylinders about 16.5 mi long and 4.65 mi in diameter be placed…

A: Given data The length of the cylinder is l = 16.5 mi. The diameter of the cylinder is d = 4.65 mi =…

Q: A point mass of 0.44 kg is set to rotate about a fixed axis 0.81 m away. The mass is initially at…

A: The centripetal force is given by F=v2r Here, v is the speed and r is the distance of the point mass…

Q: A satellite of mass m moves with a constant speed v in a circular orbit of radius r. Which of the…

A: Given  uniform circular motion of a satellite

Q: A star has a mass of 1.5 x 10^30 kg and is moving in a circular orbit about the center of its…

A:

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular…

A: Given:  mass,m = 50 kg  radius, r =  2 m  angular speed, w = 3 rad/s

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

A: Given data: Diameter of circular path is D=600 km. The angular velocity is ω=3t2 rad/s.

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A:

Q: It has been suggested that if humans are to travel to the nearest star systems, that rotating…

A:

Q: A 50.0 kg child stands at the rim of a merry-go-round of radius 2.20 m, rotating with an angular…

A:

Q: A 1.6 kg rock is swung in a circular path and in a vertical plane on a 2.9 m length string. At the…

A:

Q: A 905 kg car travels around a circular track with a circumference of 3.25 km. If the magnitude of…

A:

Q: A single bead can slide with negligible friction on a stiff wire that has been bent into a circular…

A: When an object is rotating about an axis in a circular path then it will be subjected to various…

Q: We have a rod-shaped space station of length 548 m and mass 4.19 x 10^6 kg, which can change its…

A:

Q: A 1,200-kg car, that is moving in a 40-m radius circle on level ground, has a tangential velocity…

A: Given Data:-                      Mass of the car m = 1,200 kg                      Radius of the…

Q: A wheel of radius 0.2 m, rolling along a horizontal surface slows down from 29 rad/s to 14 rad/s in…

A:

Q: A 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant linear speed of 6.20…

A: Given data:  Mass (m) = 4.00 kg Radius (r) = 3.20 m Linear speed (v) = 6.20 m/s Required: The radial…

Q: It has been suggested that rotating cylinders about 16.5 mi long and 5.56 mi in diameter be placed…

A: The expression for find angular speed of the cylinder is ω=acr=acd2

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A:

Q: A discus thrower turns with angular acceleration α = 50 rad/s2, moving the discus in a circle of…

A: The expression for the tangential component of acceleration of the discus is as follows: aT=αraT=50…

Q: A maintenance man is twirling a set of keys on the end of a lanyard. If the keys have a centripetal…

A: Centripetal acceleration is given by ACP =V2/R Here, ACP = centripetal acceleration = 145 m/s2. V =…

Q: Europa's orbit around Jupiter is nearly circular and has a period of 3.551 days. Assume Europa is…

A: The period or revolution of Europa around Jupiter is The angular speed of moon is

Q: A roller coaster loaded with passengers has a mass of 2 x 103 kg; the radius of curvature of the…

A: mass (m)= 2000 kg tangential speed (v) = 18 m/s Radius of curvature = 24 m

Q: It has been suggested that rotating cylinders about 18.5 mi long and 4.60 mi in diameter be placed…

A:

Q: It has been suggested that rotating cylinders about 18.5 mi long and 5.52 mi in diameter be placed…

A:

Q: A planet similar to the Earth has a radius 4.3 × 106 m and has an acceleration of gravity of 10 m/s…

A:

Q: When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s2,…

A: Given ,              Radius of rim =0.30 m                 centripetal acceleration =4.0 m/s2…

Q: knowing that the moon orbiting earth in one month (30 days), what is the angular speed of moon in…

A: Option C is the right answer

Q: Suppose the asteroid spins about an axis through its center, like the Earth, with a rotational…

A:

Q: The Mars Global Surveyor orbits Mars at an average altitude of 405 km. The average radius of Mars is…

A: Given: Altitude of global surveyor, h = 405 km average radius of mars, R = 3390 km Time taken to…

Q: t has been suggested that rotating cylinders about 16.0 mi long and 5.06 mi in diameter be placed in…

A: The length of the cylinder is l = 16 miles. The diameter of the cylinder is d = 5.06 miles. The…

Q: One end of a cord is fixed and a small 0.500-kg object is attached to the other end, where it swings…

A: According to company policy only first three subparts will be answered here. Please post the rest…

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: It has been suggested that rotating cylinders about 13.0 mi long and 6.42 mi in diameter be placed…

A:

Q: There is a rod-shaped space station of length 687 m and mass 5.35 x 10^6 kg, which can change its…

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.