A robotic lander with an earth weight of 3430 N is sent to Mars, which has radius RM = 3.39 * 10^6 m and mass mM = 6.42 *10^23 kg (see Appendix F). Find the weight Fg of the lander on the Martian surface and the acceleration there due to gravity, gM.
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A robotic lander with an earth weight of 3430 N is sent to Mars, which
has radius RM = 3.39 * 10^6 m and mass mM = 6.42 *10^23 kg (see
Appendix F). Find the weight Fg of the lander on the Martian surface
and the acceleration there due to gravity, gM.
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- (a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.25 ✕ 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.) ___m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) ___m/s2Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.50 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m. N (b) What is the moon's acceleration (in m/s2) 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/s2Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth. Can this ever happen? Let's look at the numbers. What is the gravitational force (in N) of the Earth on you (MĚ = 5.97 × 1024 kg, R₁ = 6380 km)? Say your mass is 64 kg. (Enter the magnitude.) What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (M₁ = 1.90 × 1027 kg, R₁ = 5.88 × 108 km)? (Enter the magnitude.) By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth? Part 1 of 5 The gravitational force between two masses is given by -GMm r² where G = 6.67 x 10-11 m³/s²/kg. FgE Part 2 of 5 We can use this expression to determine the magnitude of the gravitational force you feel while on the…
- (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 2.50 × 1022 kg, if the average distance between their centers is 2.70 x 108 m. N (b) What is the moon's acceleration (in m/s²) 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/s²Determine the gravitational field at mass A. The radius of masses A and C is 50 cm while the radius of mass B is 75 cm.Find the distance of a point from the earth's center where the resultant gravitational field due to the earth and the moon is zero. The mass of the earth is 6 * 0 * 10 ^ 24 kg and that of the moon is 7*4*10^ 22 kg. The distance between the earth and the moon is 4*0*10^ 5 km.
- During a solar eclipse, the Moon is positioned directly between Earth and the Sun. The masses of the Sun, Earth, and the Moon are 1.99 × 10³0 kg, 5.98 × 1024 kg, and 7.36 × 1022 kg, respectively. The Moon's mean distance from Earth is 3.84 × 108 m, and Earth's mean distance from the Sun is 1.50 × 10¹¹ m. The gravitational constant is G = 6.67 × 10-¹1 N-m²/kg². Find the magnitude F of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun. F = What is the direction of this force? toward Earth toward Venus toward the Sun elsewhere N(a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.00 x 1024 kg and its moon, with mass 2.20 x 1022 kg, if the average distance between their centers is 2.90 × 108 m. N (b) What is the moon's acceleration (in m/s2) 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/s²The mean diameters of Mars and Earth are 6.9×10^3km and1.3×10^4km, respectively. The mass of Mars is 0.11 timesEarth's mass [Mass of Earth = 5.98×10^24kg]. What is: a)The ratio of the mean density (mass per unit volume) of Mars to that of Earth? b)The value of the gravitational acceleration on Mars? c)The escape speed on Mars?
- Objects with masses of 220 kg and 410 kg are separated by 0.415 m. A 58.3 kg mass is placed midway between them. Find the magnitude of the net gravitational force exerted by the two larger masses on the 58.3 kg mass. The value of the universal gravi- tational constant is 6.672 × 10−11 N · m2/kg2. Answer in units of N. Leaving the distance between the 220 kg and the 410 kg masses fixed, at what distance from the 410 kg mass (other than infinitely remote ones) does the 58.3 kg mass experience a net force of zero? Answer in units of m.A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.02 × 104 m/s. The mass of the planet is M = 5.94 × 1024 kg. The mass of the satellite is m = 4.7 × 103 kg. Enter an expression for the magnitude of the gravitional force F in terms of M,R,m and the gravitional constant G. Enter an expression for the radius in terms of G,M and R. Enter an expression for the gravational potetial energy PE in terms of G,M,m and R. Enter an expresssion for the centripal acceleration of the satellite ac in terms of the speed of the satellite v, and r.A spacecraft is on a journey between 2 planets. The masses of the Planet A and Planet B are 6.96x1024 kg and 2.08x1022 kg. The distance between the centers of the planets is 6.49x108 m. At what point, as measured from the center of Planet A, does the gravitational force exerted on the craft by Planet A equal 6 times the magnitude of Planet B on the craft? Use g=9.8