Taking the age of Earth to be about 4 ✕ 109 years and assuming its orbital radius of 1.5 ✕ 1011 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun).
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Taking the age of Earth to be about 4 ✕ 109 years and assuming its orbital radius of 1.5 ✕ 1011 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun).
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- Newton’s law of gravitation and the formula for centripetal acceleration can be used to show that: T^2=(4π^2/Gms)R^3 where G is the universal constant of gravitation and MS is the mass of the Sun. Take logarithms to base 10 of both sides of the equation to complete the expression for 2 lg T.2 lg T = ……………… × lg R + ……………………The radius of the Earth R_{E} = 6.378 * 10 ^ 6 m and the acceleration due to gravity at its surface is 9.81m / (s ^ 2) Calculate the altitude above the surface of earth in meters , at which the acceleration due to gravity is g= 1.2 m/s^2Moon is at the distance 384400 km from Earth and orbits the Earth every ∼28 days. Ifthe radius of the Moon is 1737 km (consider it to be spherical), what is the area of themoon as measured by the observer on Earth? (Hint: Length contraction)
- According to Lunar Laser Ranging experiments the average distance L M from the Earth to the Moon is approximately 3.85 × 105 km. The Moon orbits the Earth and completes one revolution in approximately 27.5 days (a sidereal month). Calculate mass of the EarthThe mass of Mars is 6.42 × 10^23 kg and when it is closest to earth it is 54 million km away. a) Convert the distance to meters using scientific notation and b) What is the gravitational force between Mars and earth at this distance ?If a planet has a period of 8 years, what is its average distance from the Sun, in astronomical units? Assume thatthe mass of the planet is small compared to the Sun and thatthe average distance from the Sun is the same as the semimajoraxis. Make sure you express your answer with at least one digitafter the decimal point.
- How many days will have elapsed in 6.02 x 10^23 ns?Needs Complete typed solution with 100 % accuracy.According to Lunar Laser Ranging experiments the average distance LM from the Earth to the Moon is approximately 3.85 x 105 km. The Moon orbits the Earth and completes one revolution in approximately 27.5 days (a sidereal month). a) Calculate the orbital velocity of the Moon. b) Calculate mass of the Earth.
- Taking the age of Earth to be about 4 ✕ 109 years and assuming its orbital radius of 1.5 ✕ 1011 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun).When the Moon is directly overhead at sunset, the force by Earth on the Moon, FEM, is essentially at 90° to the force by the Sun on the Moon, FSM, as shown below. FEM=1.98×10^20N and FSM=4.36×10^20N, all other forces on the Moon are negligible, and the mass of the Moon is 7.35×10^22kg. 1. Write an expression for the magnitude of the acceleration of the Moon. 2. What is the acceleration of the Moon in m/s^2?Read the question carefully and give me right solution according to the question. A particle travels around a circular path having a radius of 40 m. If it is initially traveling with a speed of 10 m/s and its speed then increases at a rate of (0.05 v) m/s 2, determine the magnitude of the particle’s acceleration at t = 3 s. Round your answer to 2 decimal places.