Ex. 13 The mean radius of earth is 6400 km. The acceleration due to gravity at its surface is 9.8 m/s?. Estimate the mass of earth.
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- The equatorial radius of the Earth is 6378 km and gravity at the equator is 9.780 m s-2. Compute the ratio m of the centrifugal acceleration at the equator to the gravitational acceleration at the equator. If the ratio m is written as 1/k, what is the value of k?A spherical particle is falling through the air. Determine the drag force acting on the particle. The diameter of the particle is 0.1 inches. The velocity of the particle is V = 0.043 ft/sec. Take uair = 3.67e-7 lbs/ft2. Provide your answer in lbs with 2 decimals (in scientific notation, e.g., 1.00*10^-9).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
- The acceleration due to gravity at the moon's surface is 1.67 ms^-2. If the radius of the moon is 1.74 x 10^6 m. Calculate the mass of the moon. Use the known value of G.Help me to solve this problem step by step and give answer as a 3 significant figuresmagnitude 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?
- 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.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 planet has a mass of 6.90 × 1023 kg and a radius of 2.89 × 106 m. (a) What is the acceleration due to gravity on this planet? (b) How much would a 74.8-kg person weigh on this planet?
- 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?On a planet whose radius is 1.80 × 104 km, the acceleration due to gravity is 16.5 m/s?. What is the mass of the planet?Part A Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 2.1×104 m/s when at a distance of 2.6x1011 m from the center of the sun, what is its speed when at a distance of 4.0×1010 m. Express your answer in meters per second. Πνα ΑΣΦ m/s