May I ask if why can we use the differential equations as the solution for the topic "free falling bodies"?. What are its uses for the topic? Thank you very much

Q: Why can we use the differential equations as the solution for the topic "free falling bodies"?. What…

A: We use the differential equations as the solution for the topic "free-falling bodies" because the…

Q: What is the magnitude of the apparent weight of a 65 kg astronaut 2700 km from the center of the…

A: mass of astronaut = 65 kg distance of astronaut from the center of moon = 2700 km

Q: In a free fall, what variable is constant? Over time, what variable(s) keep(s) increasing during the…

A: We have to answer for a free fall, which variable is constant Over time, what variable(s) keep(s)…

Q: Determine the simplified ratio of the velocities of a low earth satellite travelling 300 km above…

A:

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: Is Earth an inertial frame of reference? Is the Sun? Justify your response.

A: A frame is said to be an inertial frame of reference only when it is not accelerating or rotating.…

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Q: In 2005 astronomers announced the discovery of a large black hole in the galaxy Markarian 766 having…

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A: Let the mass of the person = m Let the mass of the object = M Let the initial distance between…

Q: To simulate the apparent weightlessness of space orbit, astronauts are trained in the hold of a…

A:

Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

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Q: How could Newton determine the functional form of the gravitational force without knowing the value…

A: Universal law of gravitation states that force acting between two objects is directly proportional…

Q: Three equal masses are located on a coordinate grid so that the masses and the origin form a square…

A:

Q: In the law of universal gravitation, Newton assumed that the force was proportional to the product…

A: let m1 and m2 be the mass of the first and second body and r is the distance between these two…

Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

A: Consider the following figure which represents the motion of the rocket and ball. Here, a…

Q: how to find the weight of the bo

A: On a planet with no atmosphere, a 650 kg boulder falls off of a tall cliff. The resulting vertical…

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Q: Three stars, each with the mass of our sun, form an equilateral triangle with sides 1.0×1012m long.…

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Q: Goku's birthplace (in Dragon Ball Z universe) is planet Vegeta which has a really high surface…

A: If Goku launced himself with same initial velocity, it means kinetic energy is same for both launch.

Q: Given that a satellite has to be shifted 300km further from Earth than it's original geosynchronous…

A: Mass of the satellite , m = 6350 kg Mass of Earth , M = 5.98 x 1024 kg Initial distance of satellite…

Q: At what point on a journey from the earth to the moon will the attractive forces of the two masses…

A: Let the mass of earth = M Let the mass of moon = m It is given that m = 0.012 M distance between…

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: You and a friend are working inside a cylindrical new space station that is a hundred meters long…

A: a) Let, the velocity of orange at time 't' is given as 'v'  given force equation ,  So, the above…

Q: * Did you use the answer from question 1, which gives the gravitational force on particle 1 due to…

A:

Q: The center of a moon of mass m is a distance D from the center of a planet of mass M. At some…

A: Given information:The mass of the planet = MThe mass of the moon = mThe distance between them = DLet…

Q: How can a geostationary satellite above the earth operate stably ? Is it when gravity and universal…

A: Geostationary satellites are kept in orbits such that the gravitational force between the satellite…

Q: Three 7.25-kg masses are at the corners of anequilateral triangle and located in space far from any…

A: a. the force between two masses is

Q: By Newton's universal law of gravitation the free-fall acceleration a of a body, such as the…

A: By Newton's universal law of gravitation, the free-fall acceleration of a body at a distance r from…

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A:

Q: The principle of equivalence states that all experiments done in a lab in a uniform gravitational…

A: Einstein gives the theory of the principle of equivalence which suggest that when a body falls…

Q: In the law of universal gravitation, Newton assumed that the force was proportional to the product…

A: The gravitation force between the two bodies is calculated as, F=G×m1×m2r2 Here, m1 is the mass of…

Q: Three planets of identical mass m are interacting gravitationally (no other force). These planets…

A: Given that:Mass of particles=mSide of th triangle=LTo determine the angular velocity that keeps the…

Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

A:

Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

A:

Q: 2. A particle of mass m slides on a smooth straight wire in a uniform gravitational field. The…

A: RecallL=K-UWhere K=kinetic energy            U=Potential energy

Q: Need complete soln and free body diagram. Thanks

A:

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Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

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A: Given variables: Me - mass of earth Re - radius of the earth h - height of the object m - mass of…

Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

A: Rocket is acceleration upward ( a ) =  5.77m/s2  Height ( h ) = 1.55 m  Time ( t ) = 0.393 s…

Q: Please help, without using the pythagorean theorem.    Do I need a free body diagram?

A: (11)The x and y components of the forces are,

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A:

Q: Verify Kepler’s Laws of Planetary Motion. Assume that each planet moves in an orbit given by the…

A: Given:-             Second law of motion                           F→ = ma→By gravitational lawF→…

Q: To simulate the apparent weightlessness of space orbit, astronauts are trained in the hold of a…

A: The astronaut who is inside the spacecraft will experience that the spacecraft is moving in 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.