In the figure, a square of edge length 16.0 cm is formed by four spheres of masses m₁ = 4.80 g, m₂ = 3.40 g, m3 = 1.00 g, and m4 = 4.80 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.40 g? Number i M²1 mg M5 î+ ·X i m₂ MA ĴUnits

Planet Z-1 has a mass equal to one-third that of the Earth and a radius equal to one- third that of the Earth. With g representing the acceleration of gravity on the surface of Earth, the acceleration due to gravity on the surface of Z-1 is g/3 3g 6g g/9 8g

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In the figure, three 9.74 kg spheres are located at distances d₁ = 0.953 m, and d₂ = 0.215 m. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the net gravitational force on sphere B due to spheres A and C? (a) Number i (b) Number i dr B Units Units î ✪

A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.4 × 107 m. The mass of the planet is M = 4.4 × 1024 kg. Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite.  F =    Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R.  ac =    Express the speed v in terms of G, M and R.  v = Calculate the numerical value of v, in m/s.  v =

In the figure, a square of edge length 19.0 cm is formed by four spheres of masses m₁ = 4.90 g, m₂ = 2.80 g, m3 = 1.30 g, and m4 = 4.90 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.80 g? M²1 mg M5 ·x m₂ MA

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)

29. Consider Planet X whose mass and radius are 9.05 x 1025 [kg] and 5.95 x 104 [m], respectively. If the weight of the object on the surface of the Earth is 2940 [N], what is its weight at height 750 [m] from the surface of the Planet X? Note: The gravitational constant is G = : 6.6743 x 10-11 m3 A. 3.70 × 108 [N] C. 4.99 x 108 [N] B. 4.88 x 108 [N] D. 5.12 x 108 [N] Lkg

The Lunar reconnaissance orbiter (LRO) is currently in orbit around the moon on an exploration mission to map its surface. If it has a mass of 1820 kg and is orbiting at an elevation of 65.0 km from the surface, what is the gravitational force acting on the LRO due to the moon? The moon has a mass of 7.348 x 1022 kg and a radius of 1738 km. {G = 6.674 x 10-11 N m2/kg?} r = 1,803 km 1738 km I m, Norbiter = 1,820 kg mmoon 7.348 × 102² kg 65.0 km

A newly discovered planet X has a mass of 36.7 × 1023 kg and radius 2.47 × 106 m.  What is g on this planet's surface, in m/s2?