4. Mars and Earth, at their closest theoretical positions, are 54.6 million km apart. The mass of Earth is 5.97 x 10* kg, and the mass of Mars is 6.39 x 10 kg. A satellite of mass 9550 kg is to be placed such that the forces of gravity between the satellite and the two planets are equal in magnitude. Determine two possible locations for this to occur.

3. A satellite has a mass of 5890 kg and is in a circular orbit 4.20 x 10³ m above the surface of a planet. The period of the orbit is 2.45 hours. The radius of the planet is 4.40 x 10 m. What would be the true weight of the satellite if it were at rest on the planet's surface? (G= 6.67 x 10−¹¹ N.m²/kg²) X 14373.6 N 5 T MacBook Air

Two spherical objects have masses of 8000 kg and 1500 kg. Their centers are separated by a distance of 1.5 m. Find the gravitational attraction between them. А) 5.4X 10-4 N B 1.2 X 107 N 5.33 N D 3.6 X 10-4 N

The mass of planet X is 6.4 x 1023 kg and the aceleration of gravity on its surface is 3.7 m/s², if the gravitational constant G = 6.67 x 10-11 N.m²/kg², the radius of this planet R is a) 3.40 x 106 m c) 4.03 x 106 m e) 1.15 x 1013 m b) 2.98 x 106 m d) 7.56 x 106 m.

Q17 What is the magnitude of the gravitational force acting on a 3.50 x 10³ kg satellite orbiting a planet when the satellite's orbital radius is 9.17 x 106 m and the satellite's orbital period is 1.5 hours? (A) 4.34 x 104 N (B) 5.63 x 10"N (C) 4.07 N (D) 1.24 x 104 N

You are seated 1.5 m away from your best friend. One of you has a mass of 60 kg and the other has a mass of 70 kg. a) What is the magnitude of the gravitational force that each one of you exerts on the other? B) What is the direction of this force?

1. A 650 kg satellite orbits Earth with a speed of 5.3 km/s at a distance of3.5×10^7 m from Earth's centre.Mass of the Earth = 5.98 x10^24kg, G = 6.67x 10^-11 Nm^2/kg^2 Calculate the acceleration of the satellite. Calculate the gravitational force on the satellite.

Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).

1).  A 650 kg satellite orbits Earth with a speed of 5.3 km/s at a distance of 3.5x 107 m from Earth’s centre. Mass of the Earth = 5.98 x1024kg, G = 6.67x 10-11 Nm2 /kg2 . (a) Calculate the acceleration of the satellite. (b) Calculate the gravitational force on the satellite.

a. What is the difference between the force in F = ma (Newton's 2nd law) and F= Gm₁m₂/d² (Newton's law of universal gravitation). b. Find the net force on a Planet A of mass 3.0 x 101⁹ kg due to the gravitational attraction of both Planet B of mass 4.9 x 102⁰ kg and the Sun of mass 2.1 x 103⁰ kg, assuming they are at right angles to each other. The distance of Planet A from Planet B is 5.0 x 107 m and distance of the Sun from the Planet A is 5.8 x 106 m. G= 6.67 x 10-1¹ N.m²/kg². |