Show that acceleration due to gravity at height h above the Earth’s surface is gh = g(R/R + h)^2

1 Answer

Answer :

Show that acceleration due to gravity at height h above the Earth’s surface is gh = g \(\left(\frac{R}{R + h}\right)^2\) gh = g(R/R + h)2

Related questions

Description : State the formula for acceleration due to gravity at depth ‘d’ and altitude ‘h’ Hence show that their ratio is equal to ((R - d)/(R - 2h))

Last Answer : State the formula for acceleration due to gravity at depth d' and altitude h' Hence show that ... small as compared to the radius of the Earth.

Description : Calculate the acceleration due to gravity at a height of 300 km from the surface of the Earth. (M = 5.98 × 10^24 kg, R = 6400 km).

Last Answer : Calculate the acceleration due to gravity at a height of 300 km from the surface of the Earth. (M = 5.98 × 1024 kg, R = 6400 km).

Description : Obtain the formula for acceleration due to gravity at the depth ‘d’ below the Earth’s surface.

Last Answer : Obtain the formula for acceleration due to gravity at the depth ‘d’ below the Earth’s surface.

Description : If a body weighs 12N on the surface of the earth, how much will it weigh on the surface of the moon where acceleration due to gravity is only one-sixth of that on earth's surface? (1) 12N (2) 2N (3) 10N (4) 6N

Last Answer : (2) 2N Explanation: Weight is mass x g. Since mass is constant and g is only 16thof that on the earth. The weight on the moon is only 16th of that on the earth.

Description : Assuming uniform density of the core, the acceleration due to gravity below the Earth's surface is A. inversely proportional to the square of the distance from the center of the Earth ... center of the Earth D. directly proportional to the distance from the center of the Earth

Last Answer : directly proportional to the distance from the center of the Earth

Description : If we want to calculate the pressure of a liquid at the bottom of a vessel, the quantity which is not required to determine it, is – (1) Height of the liquid column (2) Surface area of the bottom of the vessel (3) Density of the liquid (4) Acceleration due to gravity at the bottom of the vessel

Last Answer : (2) Surface area of the bottom of the vessel Explanation: The pressure exerted by a static fluid depends only upon the depth of the fluid, the density of the fluid, and the acceleration of gravity. Static fluid pressure does not depend on the shape, total mass, or surface area of the liquid.

Description : If we want to calculate the pressure of a liquid at the bottom of a vessel, the quantity which is not required to determine it, is – (1) Height of the liquid column (2) Surface area of the bottom of the vessel (3) Density of the liquid (4) Acceleration due to gravity at the bottom of the vessel

Last Answer : (2) Surface area of the bottom of the vessel Explanation: The pressure exerted by a static fluid depends only upon the depth of the fluid, the density of the fluid, and the acceleration of gravity.

Description : If we want to calculate the pressure of a liquid at the bottom of a vessel, the quantity which is not required to determine it, is (1) Height of the liquid column (2) Surface area of the bottom of the vessel (3) Density of the liquid (4) Acceleration due to gravity at the bottom of the vessel

Last Answer : Surface area of the bottom of the vessel

Description : Critical speed of rotation, N (in rps - rotation per second) of a trammel is equal to (where, g = acceleration due to gravity = 9.81 m/sec 2 and, r = radius of trammel, metre.) (A) (1/2π). √(g/r) (B) (1/π). √(g/r) (C) ½ √(g/r) (D) 2π. √(g/r)

Last Answer : (A) (1/2π). √(g/r)

Description : If V is speed of a moving vehicle, r is radius of the curve, g is the acceleration due to gravity, W is the width of the carriageway, the super elevation is (A) WV/gr (B) W²V/gr (C) WV²/gr (D) WV/gr²

Last Answer : Answer: Option C

Description : An artificial satellite stays in the orbit around the Earth because (a) The Earth's gravity does not act on the satellite due to the great distance between them (b) The Earth's attraction ... (d) There is an engine in the satellite that constantly applies an upward force to balance its weight

Last Answer : Ans:(b)

Description : The acceleration due to gravity at the equator – (1) is less than that at the poles (2) is greater than that at the poles (3) is equal to that at the poles (4) does not depend on the earth's centripetal acceleration

Last Answer : (1) is less than that at the poles Explanation: The gravity of Earth, denoted g, refers to the acceleration that the Earth imparts to objects on or near its surface. At latitudes nearer the Equator ... ) causes objects at the Equator to be farther from the planet's centre than objects at the poles.

Description : The acceleration due to gravity at the equator (1) is less than that at the poles (2) is greater than that at the poles (3) is equal to that at the poles (4) does not depend on the earth’s centripetal acceleration 

Last Answer : is less than that at the poles

Description : If a student drops a stone from a cliff of height 30 m and the time it takes to reach the ground is 2.6 s, then the acceleration due to gravity isA. 9 m s-2 B. 10 m s-2 C. 4 m s-2 D. 8.8 m s-2

Last Answer : 8.8 m s-2

Description : In Joule's experiment, an insulated container contains 20 kg of waterinitially at 25°C. It is stirred by an agitator, which is made to turn by a slowly falling body weighing 40 kg through a height of 4 m. The process is repeated ... temperature of water (in °C) is (A) 40.5 (B) 34.4 (C) 26.8 (D) 25

Last Answer : (B) 34.4

Description : A ball is dropped from a height of 256 feet. The acceleration due to gravity is 32 feet per second squared. How many seconds will it take for the ball to reach the ground?

Last Answer : ANSWER: 4

Description : Water rises in a capillary tube to a height h. It will rise to a height more than h. a.in a lift moving up with an acceleration b.in all the above cases c.107 dynes d.at the poles e.on the surface of moon

Last Answer : e. on the surface of moon

Description : Acceleration due to gravity (g) is mini- mum at?

Last Answer : Equatorial regions

Description : Acceleration due to gravity (g) is maxi- mum at?

Last Answer : polar regions

Description : At the Center of earth Acceleration due to gravity (g) is?

Last Answer : Zero

Description : The static deflection of a spring under gravity, when a mass of 1 kg is suspended from it, is 1 mm. Assume the acceleration due to gravity g = 10 m/s^2. The natural frequency of this spring-mass system (in rad/s) is A 100 B 150 C 200 D 250

Last Answer : A 100

Description : If is the speed of a locomotive in km per hour, g is the acceleration due to gravity, is the distance between running faces of the rails and is the radius of the circular curve, the required super elevation is (A) gV²/GR (B) Rg/GV² (C) GR/gV² (D) GV²/gR

Last Answer : (D) GV²/gR

Description : As we go from Equator to North pole the value of ‘g’, the acceleration due to gravity (1) remains the same (2) decreases (3) increases (4) None of the above

Last Answer : increases

Description : Draw a graph showing the variation of gravitational acceleration due to the depth and altitude from the Earth’s surface.

Last Answer : Draw a graph showing the variation of gravitational acceleration due to the depth and altitude from the Earth’s surface.

Description : At what distance below the surface of the Earth, the acceleration due to gravity decreases by 10% of its value at the surface,

Last Answer : At what distance below the surface of the Earth, the acceleration due to gravity decreases by 10% of ... surface, given radius of Earth is 6400 km.

Description : How far away from the surface of the Earth does the acceleration due to gravity become ½ of its value at the surface of Earth? It is at a (a) Distance equal to radius (b) Distance equal to half the radius (c) Distance equal to twice the radius (d) Distance equal to 0.414 times the radius

Last Answer : Ans:(d)

Description : A person can jump higher on the moon's surface than on the earth because – (1) the moon's surface is rough (2) the acceleration due to gravity in moon is smaller than that on the earth. (3) the moon is cooler than earth (4) the moon has no atmosphere

Last Answer : (2) the acceleration due to gravity in moon is smaller than that on the earth. Explanation: The acceleration due to the gravitational field of moon (g' = 1.62631 ms-2) is one-sixth of the acceleration due ... earth. It is due to this reason; a man can jump six times higher on moon than on earth.

Description : An object with a mass of 5 kilograms is a distance of 5 meters above the surface of the earth. If the acceleration due to gravity is 10 meters per second squared, the potential energy of the object relative to the ... is: w) 10 joules x) 20 joules y) 100 joules z) 250 joules e) none of the above

Last Answer : ANSWER: Z -- 250 JOULES

Description : A person can jump higher on the moon’s surface than on the earth because : (1) the moon’s surface is rough (2) the acceleration due to gravity in moon is smaller than that on the earth. (3) the moon is cooler than earth (4) the moon has no atmosphere

Last Answer : the acceleration due to gravity in moon is smaller than that on the earth.

Description : In a construction site, a crane lifts 1000 kg of concrete mix to roof top at a height of 20 meters in 50 seconds. If the value of gravity 'g' due to earth is 10 m s-2, the power of elevator will be. -Physics

Last Answer : 4 KW (kilowatt)

Description : If three cylinders of radius r and height h are placed vertically such that the curved surface of each cylinder touches the curved surfaces -Maths 9th

Last Answer : hr2 (3-√−π2)(3−π2) The bases of the three cylinders when placed as given are as shown in the figure : Let the radius of the base of each cylinder = r cm. We are required to find the volume of air. ... ∠C = 60º) = 3 x 60o360o πr2=πr2260o360o πr2=πr22 ∴ Required volume = (3-√r2−π2r2)h=(3-√−π2)r2h.

Description : Frame the formula: The lateral surface area of a cylinder S is equal to twice the product of `pi`, radius (r) and height (h) of the cylinder.

Last Answer : Frame the formula: The lateral surface area of a cylinder S is equal to twice the product of `pi`, radius (r) ... `S=pirh` C. `2S=pirh` D. `S=2pirh`

Description : if seve times the curved surface area (A) of a cylinder is equal to 44 times the proudct of base radius (r) and height (h) then what si the formula wi

Last Answer : if seve times the curved surface area (A) of a cylinder is equal to 44 times the proudct of base ... (h) then what si the formula with subject A?

Description : At which place on the Earth’s surface is the gravitational acceleration maximum? Why?

Last Answer : At which place on the Earth’s surface is the gravitational acceleration maximum? Why?

Description : A imaginary planet has half the mass and half the radius of the earth. The acceleration of gravity at its surface would be a.9.8 m/s2 b.107 dynes c.4.9 m/s2 d.19.6 m/s2 e.2.45 m/s2

Last Answer : d. 19.6 m/s2

Description : Hydrodynamic pressure due to earthquake acts at a height of (A) 3H/4 above the base (B) 3H/4 below the water surface (C) 4H/3 above the base (D) 4H below the water surface, where H is the depth of water.

Last Answer : Answer: Option C

Description : A suspended particle falls through a height minutes. If the viscosity of water is and specific gravity of the particle is , the diameter of the particle is (where M is a constant factor) (A) 103M (H/t) (B) 104M (H/t) (C) 105M (H/t) (D) 102M (H/t)

Last Answer : Answer: Option C

Description : The value of acceleration due to gravity is 980 cm/sec2. Its value in meter per (hour)2 will be a.1.27 x 108 b.127 c.1270 d.1.27 x 107 e.1270000

Last Answer : a. 1.27 x 108

Description : State the factors on which acceleration due to gravity depends. -Science

Last Answer : The acceleration due to gravity depends upon the radius of the earth,mass of the earth and on a constant having unit Nm^2/kg^2.

Description : What is the variation in acceleration due to gravity with altitude?

Last Answer : What is the variation in acceleration due to gravity with altitude?

Description : The value of acceleration due to gravity is maximum at

Last Answer : The value of acceleration due to gravity is maximum at (A) the equator of the Earth (B) the ... . (D) slightly above the surface of the Earth.

Description : The acceleration due to gravity is determined by using a simple pendulum of length l = (100 ± 0.1) cm. If its time period is T = (2 ± 0.01)

Last Answer : The acceleration due to gravity is determined by using a simple pendulum of length l = (100 ... the maximum percentage error in the measurement of g.

Description : When your mass is 96 kg. The acceleration due to gravity is 9.8 ms 2 . How much work against gravity do you do when you climb a flight of stairs 3.8 m high Answer in units of J.?

Last Answer : 4

Description : What is the acceleration due to gravity?

Last Answer : It's the best way to describe the gravity in any given place. Notice that itdoesn't depend on the object that's being weighed there. Naturally, objectswith more mass will be heavier, and objects with less mass ... On Earth, that number is 9.8 meters (32.2 feet) per second2 .It is just mass then.

Description : At high altitudes it is difficult to cook eggs or vegetables properly because of (a) High boiling point of water and low atmospheric pressure (b) Low boiling point of water and low atmospheric ... Low value of acceleration due to gravity (d) High atmospheric pressure and low billing point of water

Last Answer : Ans:(b)

Description : A hydrogen filled balloon rises in air because (a) The atmospheric pressure decreases with altitude (b) The acceleration due to gravity decreases with altitude (c) The density of air decreases with ... The buoyant force exerted by the air on the balloon is greater than the weight of the balloon

Last Answer : Ans:(d)

Description : Two planets have the same density of matter, such that their masses are proportional to the cube of their radii. The ratio of their acceleration due to gravity on their surfaces is (a) r2/r1 (b) (r1/r2)2 (c) r1/r2 (d) (r2/r1)2

Last Answer : Ans:(d) Direction: In the following question, a statement of Assertion (A) is given followed by corresponding Reason (R), just below it. Read the statements carefully and mark the correct answer: (a) If both A and ... true but R is not the correct explanation of A. (c) If A is true but R is false

Description : The sensation of weightlessness in a spacecraft in an orbit is due to the - (1) Absence of gravity outside (2) Acceleration in the orbit which is equal to the acceleration due to gravity outside ... of gravity outside but not inside the spacecraft (4) Fact that spacecraft in the orbit has no energy

Last Answer : (2) Acceleration in the orbit which is equal to the acceleration due to gravity outside Explanation: Weightlessness in space is caused by the simple physical factors that cause the limitation of gravity. ... . Many people believe that a lack of gravity is the root cause for weightlessness in space.

Description : The sensation of weightlessness in a spacecraft in an orbit is due to the - (1) Absence of gravity outside (2) Acceleration in the orbit which is equal to the acceleration due to gravity outside ... of gravity outside but not inside the spacecraft (4) Fact that spacecraft in the orbit has no energy

Last Answer : (2) Acceleration in the orbit which is equal to the acceleration due to gravity outside Explanation: Weightlessness in space is caused by the simple physical factors that cause the limitation of gravity. ... . Many people believe that a lack of gravity is the root cause for weightlessness in space.