A objectwas thrown on a sufficiently large inclined plane at time t = 0 with velocity v0 = 10 (m/s) as shown in the figure. Find the radius of curvature of the object's orbit after 1 second.

Q: Assume a planet is a uniform sphere of radius R that(somehow) has a narrow radial tunnel through its…

A: (a) let m1 is the mass of the planet and m2 is the mass of the apple,r is the radius of the planet…

Q: There are two spaceships that orbit the Earth. If the orbital radius ratio of the two spaceships is…

A:

Q: Miranda, a satellite of Uranus, is as shown. It can be modeled as a sphere of radius 242 km and mass…

A: The expression for the surface gravity of the Miranda,   Substitute,   Therefore, the free fall…

Q: Would the acceleration of a particle be zero in a curvilinear orbit without gravitational effects in…

A: So, to explain this with formula we will apply  F = (G*m*M)/(r^2) And also newton's second law  F =…

Q: Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon.…

A: The distance of the third astronauts above the surface of the moon, h=491 km = 0.491×106 m The…

Q: An astronaut circling the earth at an altitude of 400 km is horrified to discover that a cloud of…

A: The astronaut is in an orbit above the earth's surface at a height of 400 km.  Since the astronaut…

Q: An artificial satellite moves in a circular orbit at a heighth 2.89 x 105 m above the Earth's…

A: An artificial satellite moving in a circular orbit at height h, Then the orbital period T,  T =…

Q: If the speed of a satellite of mass “m" in orbit around Earth is “v" at a distance “T" from Earth's…

A:

Q: Two satellites are in circular orbits around the Earth. Satellite A is at an altitude equal to the…

A: Given data: hA=RhB=5R Need to determine the ratio of period of B and A.

Q: A communication satellite is on a straight-line path between the Earth and the Moon. At what…

A: The expression for the gravitational force, F∝m1m2r2F=Gm1m2r2

Q: Why is it impossible for an astronaut inside an orbiting space station to go from one end to the…

A: An orbiting space station ideally orbits the Earth in a circular path. Along this circular path, the…

Q: Two planets in circular orbits around a star have speeds of v and 2v. (a) What is the ratio of the…

A: Let the mass of star = M The orbital velocity of first planet (v1) = v The orbital velocity of…

Q: For earth, let g and R be the acceleration due to gravity and the radius, respectively. If another…

A: Escape velocity is defined as the minimum velocity required by any object in order to escape the…

Q: The orbits of Earth and Venus around the Sun are nearly circular with a mean radius of Earth's…

A: Given:  Radius of Earth's orbit, re = 1.5 x 1011 m  Radius of Venus's orbit, rv = 1.08 x 1011 m…

Q: When a falling meteoroid is at a distance above the Earth's surface of 2.85 times the Earth's…

A:

Q: When a falling meteoroid is at a distance above the Earth's surface of 3.10 times the Earth's…

A: The formula to calculate the separation is given by, r=RE+dTherefore,r=RE+3.10REr=4.1RE

Q: Suppose an astronaut landed on a planet where g = 19.6 m>s2. Compared to earth, would it be…

A: The weight of the person compared on the planet compared with the earth is, WPWE=gPgE=19.6 m/s29.8…

Q: What is the speed of rotation of a planet the size and mass of the Earth, so that the object on the…

A:

Q: An experimental jet rocket travels around Earth along its equator just above its surface. At what…

A: in this question we use centripetal acceleration equation.

Q: In a distant solar system, a planet of mass 5.0 x 1024 kg orbits a sun of mass 3.0 x 1030 kg at a…

A:

Q: Satellites A and B are in circular orbits, with A twice as far from Earth's center as B. How do…

A:

Q: the ratio between the centripetal acceleration by which a satellite moves in its orbit and…

A: Centripetal acceleration of satellite = v2/r Where v is velocity of satellite and r is distance from…

Q: What is the direction of the gravitational acceleration of an object that is freely moving donwards?

A: Given data:  Object is moving freely towards downward Required: The direction of the gravitational…

Q: A spacecraft travels along the straight line connecting the earth and the sun. At what distance from…

A:

Q: If a body describes a circular motion under inverse square field, the time taken to complete one…

A:

Q: What percentage of the acceleration at Earth’s surface is the acceleration due to gravity at the…

A:

Q: Derive an equation for the orbital period T of the spacecraft in terms of m, ME, R, and physical…

A: Let the mass of the spacecraft = m   Let the mass of earth = Me   Let the radius of orbit of…

Q: Two planets P, and P orbit around a star S in circular orbits with speeds v = 44.2 km/s, and v2 =…

A: According to Kepler's third law, in any planetary system, the third power of the orbital radius of a…

Q: A boy is standing inside a train moving with a constant velocity of magnitude 10 m/s. He throws a…

A: Given:) speed of train(vx)=10 m/s upward speed of ball(vy)=5 m/s to find:) radius of curvature of…

Q: The shuttle orbiter A is in a circular orbit of altitude 200 mi, while spacecraft B is in a…

A: In this question we simple determine  position vector from A to B.

Q: When a falling meteoroid is at a distance above the Earth's surface of 2.4 times the Earth's radius,…

A:

Q: Chapter 3- questn-15 The magnitude of the centripetal acceleration of the plane moving with constant…

A: Centripetal acceleration ac = 9 (gravitational acceleration ag) Constant velocity, v = 300 m/s

Q: With what speed would mail pass through the center of Earth if falling in a tunnel through the…

A: The expression for force of gravity on the mail at any point will be,

Q: A satellite revolves at uniform speed in a circular orbit around the centre of Earth. It orbits 1…

A: Radius of Earth R = 6370 km Height of satellite above the surface of Earth H =1000 km Centripetal…

Q: Observing a spacecraft land on a distant asteroid, scientists notice that the craft is falling at a…

A: Given,

Q: At what rate must a cylindrical spaceship rotate if occupants are to experience simulated gravity of…

A: Simulated gravity,

Q: A space shuttle which moves in a circular orbit around the earth at a height h 150 mi above its…

A: Given : height of the shuttle from the surface of the earth, h=150 mi speed of the shuttle at this…

Q: What is the speed of an artificial satellite orbiting at an altitude of 1500 km above the surface of…

A:

Q: The mass of the earth is 5.98 x 1024 kg. A satellite of mass 525 kg circles the earth at a distance…

A:

Q: A projectile is launched horizontal with a speed of 1.8 m/s at the surface of Mars (mass = 6.4 x…

A: (a)The equation for the magnitude of acceleration due to gravity on Mars can be found using the…

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.