Calculate the speed you would have with respect to the center of the planet, in m/s, if you were at a latitude of 5 degrees north.
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Consider a planet of radius 10 x 106 m for which the length of a sidereal day is 5 x 104 s. Calculate the speed you would have with respect to the center of the planet, in m/s, if you were at a latitude of 5 degrees north.
(Please answer to the fourth decimal place - i.e 14.3225)
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- Provide solutions and answer. Thanks.In this problem you will measure the gravitational constant in a series of “observational experiments,” making use of Newton’s law of gravitation and second law of motion as well as Kepler’s third law of planetary motion Suppose a rocket is launched as described in part (d) with an initial speed of vi = 494 m/s and attains a peak altitude of H = 12.7 km above the surface of Earth. Taking ME = 5.95×1024 kg and Ri = 6.41×106 m, what is the measured value of the gravitational constant, in units of N⋅m2/kg2?A planet with mass 9.69x1023 kg orbits a star with mass 9.21x1030 kg. The orbit is circular, and the distance from the planet to the sun is 225x106 km. What is the length of a year on this planet? Give your answer in earth years (1 earth year = 31,557,600 seconds).
- The gravitational acceleration constant gx on Planet X can be approximated by determining the acceleration of an object assuming Newton's Law of Universal Gravitation. If gx = 3.8 m/s^2 , G = 6.7 x 10^-11 Nm^2/kg^2, and Planet X's radius is 4000 km, what is the approximate mass of planet X? Give answer in kg.The acceleration due to gravity of planet X is 7.80m/s2, and its radius is 5,900 km. The gravitational constant is ?=6.67×10−11m2kg−1s−2. The mass of planet X is close to: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).
- A 4.4 kg mass weighs 35.64 N on the surfaceof a planet similar to Earth. The radius ofthis planet is roughly 6 × 10^6 m.Calculate the mass of of this planet. Thevalue of the universal gravitational constantis 6.67259 × 10^−11 N · m^2/kg^2.Answer in units of kg. Calculate the average density of this planet.Answer in units of kg/m^3.Use your calculator to determine ( √ 6 )3 to three significant figures in two ways. Find √6 to four significant figures; then cube this number and round to three significant figures. Find √6 to to three significant figures; then cube this number and round to three significant figures. Which answer is more accurate? the first or second?2.
- 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).need help with this questionCalculate the force (in Newtons) required to push a 30kg wagon up a 0.4 radian inclined plane. One Newton (N) is equal to 1 kg-m, and the force due to gravity on the wagon is F = m * g, where m is the mass of the wagon, and g is the acceleration due to gravity (9.8 ). Please ignore friction in this problem. Hint: draw a picture, and express the forces on the wagon as vectors. Force = N