A projectile is fired straight upward from the Earth’s surface at the South Pole with an initial speed equal to one third the escape speed. (a) Ignoring air resistance, determine how far from the center of the Earth the projectile travels before stopping momentarily. (b) What is the altitude of the projectile at this instant?

Q: Vox = Vo Vay =a 4. Chased by assassins, Jason Bourne makes a daring motorcycle leap from the (flat,…

A: Motorcycle’s launch speed, (va)

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: A projectile is fired in the earth's gravitational field with a horizontal velocity of v=9.00 m/s.…

A: Answer:-  Given  Horizontal velocity of the projectile (V) = 9.00 m/s  Time in the distance…

Q: Two identical uniform spheres A and B, with mass M=M= 1.00 [kg], are placed 0.500 [m] away from…

A: Given data: The mass of A and B is M=1 kg. The mass of C is m=0.3 kg. The distance between A and B…

Q: You are exploring a distant planet. When your spaceship is in a circular orbit at a distance of 630…

A: Given: Orbital speed, v=4900 m/s Distance above surface of planet, h=630 km Radius, Initial speed,…

Q: A projectile is fired vertically from the earth's surface with an initial speed of 9.33 km/s.…

A: Using energy conservation   (1/2)mv^2-(GMm/R)=-(GMm/d) v=9.33 km/s=9330 m/s   (1/2)v^2-(GM/R)=-GM/d…

Q: Consider two iron spheres, each of diameter 100 mm, which are just touching. At what distance R (km)…

A:

Q: t some point along the direct path from the center of the Earth to the center of the Moon, the…

A:

Q: Obtain the required relation please

A: Using the concept of relative velocity in x-axis;

Q: What is the gravitational acceleration on the surface of a planet that has twice the radius and…

A: radius of planet = 2 R  density of planet =2 d

Q: What is the range of the shuttlecock launched with an initial speed of 6.3689 m/s at 52.1086-degree…

A: When near the earth's surface a particle is moving obliquely, it moves along a curved path under…

Q: Consider a uniform gravitational field (a fair approximation near the surface of a planet). Find

A:

Q: A man has a mass of 75 kg on the Earths surface. How far above the earths surface does he have to go…

A:

Q: A projectile is fired from the surface of the earth with a velocity of 5ms and angle 0 with the…

A:

Q: In Pole to Pole, an early science fiction story by George Griffith, three explorers attempt to…

A:

Q: On a certain planet, which is perfectly spherically the free- fall acceleration has magnitude ga…

A:

Q: In Pole to Pole, an early science fiction story by George Griffith, three explorers attempt to…

A: Mass of earth= 5.972 x 10 24 Kilogram Radius of Earth= 6380 x 103m Value of Gravitational Constant,…

Q: What radius must the sphere have so that the acceleration due to gravity at the Earth's new surface…

A: We know acceleration due to gravity at the surface of a plane is  g = (GM/R2 ) 1/2 . where M = mass…

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: A projectile is fired vertically from Earth's surface with an initial speed v. Neglecting air drag,…

A: Given: The initial velocity of the object is v vertically upward. The final velocity of the object…

Q: The free fall trajectory of an object thrown horizontally from the top of a building is shown as the…

A: We know that the velocity vector points in the tangential direction. we also know that the…

Q: Can you help me on p. 7.39

A:

Q: Q A 'treetop satellite' moves in a circular orbit just above the surface of a planet, assumed to…

A:

Q: The weight of a particle varies with altitude such that ? = m(gro2)/r2, where ?0 is the radius of…

A: acceleration a = W/m = -gro²/r² = dv/dt = dv/dr * dr/dt = dv/dr * v v dv = -gro²/r² drintegrate,v²/2…

Q: A satellite encircles Mars at a distance above its surface equal to 3 times the radius of Mars. If…

A: Given: acceleration due to gravity on the surface of Mars is gm. Height, h = 3 R  where, R is the…

Q: Let g= - 9.8m/s^2. If an object is shot at an angle of 60° from the ground with an initial velocity…

A:

Q: If a projectile is launched vertically from the Earth with a speed equal to the escape speed, how…

A: In this problem we will use conservation of energy  Initial total energy= final total energy

Q: For a satellite to be in a circular orbit 890 km above the surface of the earth, (a) what orbital…

A:

Q: If a projectile is fired due east from a point on the surface of the Earth at a northern latitude…

A:

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: A rocket is launched straight up from the earth's surface at a speed of 1.90×10^4 m/s. What is its…

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: You wish to put a 2500 kg satellite into a circular orbit 450 km above the earth’s surface.  What…

A: Given Data Mass of the satellite is m=2500 kg Height of the orbit above the surface of the Earth is…

Q: An object with a mass of 10.00kg is launched from the ground with an initial upward velocity of…

A:

Q: A roadrunner is cruising at 11 m/s without knowing the road under its feet is about to run out, at…

A: The roadrunner is running at a speed of 11 m/s on a road that is 30 m above a valley.

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: Does the escape speed of a body from the earth depend on (a) the mass of the body, (b) the location…

A: Step 1Escape velocity is the speed that an object needs to be travelling to free itself from the…

Q: You are exploring a distant planet. When your spaceship is in a circular orbit at a distance of 630…

A: height of spaceship above the surface of a planet (h) = 630 km radius of planet (R) = 4.48×106 m…

Q: The orbit of a Moon about its planet is ap- proximately circular, with a mean radius of 2.48 x 10°…

A: Given data The radius of the circular orbit of the moon is r = 2.48 x 108 m. The time period taken…

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.