Q. 57 : A body is raised to a height 'nR' from the surface of the earth of radius R. The ratio of acceleration due to gravity on the surface of the earth to that at the given altitude is (a) (n + 1)-2 (b) (n + 1)2 (c) (n +1) (d) (n + 1)-3
Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg…
A: Given value--- mass of planet = 7.25 × 1024 kg. mass of Moon = 2.30 × 1022 kg. distance between…
Q: velocity of the proton in units of km/s
A: Given: Mass of proton is m=1.673×10-27 kg Charge on proton is q=1.6×10-19 C Radius of path is r=4.46…
Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.00 ✕ 1024 kg…
A: (a) The magnitude of the gravitational force between the given planet and its moon can be…
Q: Find the magnitude of the gravitational force (in N) between a planet with mass 8.00 ✕ 1024 kg and…
A:
Q: Triton is a satellite of the planet Neptune. The mean orbital distance from Triton to Neptune is…
A: a) Given, Time= 5.88 days=5.88x24x60x60=508032s Ans. The value of Triton’s orbital period in…
Q: A rock is dropped from high above the surface of the Earth. The initial speed is 0, and the initial…
A:
Q: Determine the magnitude of the gravitational acceleration caused by the Earth at a height of 1.5 Re…
A: Earth's radius (RE) = 6,371,000 metersHeight above Earth's surface (h) = 1.5RE = 9,556,500…
Q: What is the force of gravity, Fg, between 2 spheres if: m1= 5.3 x 108 kg m2 = 2.5 x 1011 kg r =…
A: Given data: First mass (m1) = 5.3×108 kg Second mass (m2) = 2.5×1011 kg Distance (r) = 12,000 m G =…
Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg…
A: Mass of planet ,M = 7.25 ✕ 1024 kg Mass of moon ,m = 2.40 ✕ 1022 kg Distance , r = 2.90 ✕ 108 m To…
Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.00 ✕ 1024 kg…
A: he gravitational force between the two masses is given by F = G m m'r2 where, r is the distance…
Q: Consider a planet that is a uniform sphere of radius R that has a narrow radial tunnel extending…
A:
Q: In the figure, three 8.07 kg spheres are located at distances d = 0.115 m, and d, = 0.456 m. What…
A: Given Data : The mass of all the three masses is given as m = 8.07 Kg. The distance between mass B…
Q: A solid sphere of uniform density has a mass of 3.2 x 104 kg and a radius of 0.50 m. What is the…
A:
Q: You are on the surface of a planet with no atmosphere. This planet has mass 9.8 x 1023 kg and…
A: Mass, M = 9.8 x 1023 kg radius, R = 1.3 x 105 m initial velocity, u = 12.8 x 103 m/s final speed, v…
Q: At what altitude h above the north pole is the weight of an object reduced to 27% of its…
A:
Q: The value of g at any latitude o may be obtained from the formula g = 32.09(1+ 0.0053 sin' 4) ft/s…
A:
Q: (a) particle A, (b) particle B, and (c) particle C.
A: Kindly note that the net forces are kept in the box in the last of the answer, do take care of the…
Q: According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from…
A: The given relationship of Distance(D) and Time(P) is D = 93P 2/3 For Pluto, the time P = 248…
Q: While visiting Planet Physics, you toss a rock straight up at 11 m/s and catch it 2.5 s later. Your…
A: The speed of the rock is 11 m/s. The time taken to catch the rock is 2.5 s. The time taken by the…
Q: Two planets of equal mass orbit a certain star. The planet Iang (m1) describes a circular orbit of…
A:
Q: Find the average and
A: from the given conditions we find average deviation-
Q: 21. Find the gravitational acceleration at this highest point. This would be the initial downward…
A:
Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg…
A: planet with mass, m1 = 7.25 ✕ 1024 kg its moon, with mass , m2 = 2.25 ✕ 1022 kg, the average…
Q: it of the moon about the earth is approximately circular, with a mean radius of 3.84 x 10% m. It…
A: Given- Radius of orbit of moon (R) = 3.84 x 108 m Time to complete an orbit (t) = 27.3 days Now we…
Q: The drawing shows three particles far away from any other objects and located on a straight line.…
A: Mass of body A = 323 Kg Mass of body B = 572 Kg Mass of body C = 199 Kg
Q: In the figure, three 8.28 kg spheres are located at distances d1 = 0.415 m, and d2 = 0.414 m. What…
A:
Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.00 ✕ 1024 kg…
A: Given data: Mass of the planet (M1) = 8.00×1024 kg Mass of the moon (M2) = 2.50×1022 kg Distance…
Q: A satellite is launched to orbit the Earth at an altitude of 1.05 x 107 m for use in the Global…
A:
Q: In the figure, three 9.74 kg spheres are located at distances d₁ = 0.953 m, and d₂ = 0.215 m. What…
A: Given:- The mass of the three-sphere is m = 9.74 kg The distance d1= 0.953 m and distance d2= 0.215…
Q: The equatorial radius of the Earth is 6378 km and gravity at the equator is 9.780 m s-2. Compute the…
A:
Step by step
Solved in 2 steps
- (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 x 1024 kg and its moon, with mass 2.20 x 1022 kg, if the average distance between their centers is 2.90 x 10° m. (b) What is the moon's acceleration (in m/s?) toward the planet? (Enter the magnitude.) m/s2 (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.) m/s?The Moon has a mass 7.35 x 1022 kg of and a radius of 1740 km. Air resistance can be neglected on the Moon. G = 6.67 x 10-11 m3 kg-1 s-2 is the universal gravitational constant. (a) If a ball is launched upwards from the surface of the moon with an initial speed of 1.15 km/s, what height maximum height above the surface of the moon will it reach? Give your answer in kilometers. (b) What is the escape speed of the moon? Give your answer in km/s.A woman whose weight is 680 N on the Earth’s surface is in a spacecraft at an altitude above the Earth's surface equal to the radius of the Earth. Her approximate weight (in newtons) in the spacecraft is
- A planet orbiting a distant star has radius 3.54×106 mm. The escape speed for an object launched from this planet's surface is 7.65×103 m/sm/s. What is the acceleration due to gravity at the surface of the planet? Express your answer with the appropriate units.Exoplanet Taphao Keow is a Jupiter-sized planet orbiting another star. It has a mass of approximately 1×10+27[kg]. Its actual radius is not currently known, but we do know that the radius of Jupiter is 7×107[m]. Question: If Taphao Keow had a radius that was the same radius as Jupiter, what would it's local surface gravitational acceleration be? O 266 [m/s2] 124 [m/s²] 70 [m/s²] O 24 [m/s²] O 14 [m/s²] It would have a gravitational acceleration far larger than any of the other answers (many orders of magnitude larger) It would have a gravitational acceleration far smaller than any of the other answers (many orders of magnitude larger)a)find the magnitude of the gravitational force (in N) between a planet with mass 9.00 ✕ 1024 kg and its moon, with mass 2.20 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m. = N b)What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)
- magnitude gravitational force (between a planet with mass 9.00 * 10 ^ 24 and moon, with 2.40 * 10 ^ 22 average distance between their canters 2.10 * 10 ^ 8* m b) ? is the moon's acceleration in m/s^ 2 ) toward the planet(Enter the magnitude. ) m/s^ 2 the planets acceleration (in m/s^ 2 ) the moon?HINT M. kg (a) Find the magnitude of the gravitational force (in N) between a planet with mass 6.50 x 1024 and its moon, with mass 2.55 x 10 kg, if the average distance between their centers is d= 2.90 x 108 m. %3D N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s? (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.) m/s2A newly discovered planet has the same acceleration due to gravity as Earth with a value of g. If the new planet has twice the radius of Earth, what must be its mass? a me/4 b 4me c 2me d me/√2 e √2 me f me/2
- 3. a) Prove the fractional change in the acceleration due to gravity at a distance or above the earth's surface is given by -2dr/r, where r is the mean radius of the earth. b) At what is distance above the earth's surface has the acceleration due to gravity decreased by 2% compared to the mean value of 9.81 m/s² observed at the earth's surface?A satellite is launched to orbit the Earth at an altitude of 1.80 x 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 x 1024 kg and its radius 6.38 x 106 m. (a) What is the orbital period of this GPS satellite? h (b) With what speed does it orbit the Earth? m/sEarth’s gravitational field strength at the surface is 9.80 N/kg. Determine the distance, as a multiple of Earth’sradius, rE, above Earth’s surface at which the magnitude of the acceleration due to gravity is 3.20 N/kg.