Physics
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A rock on Mars has a mass of 1200 kg. At midday, the rock is directly between the sun and Mars. i) Determine the force exerted on the rock by the sun. Take the distance from the rock to the sun's center as 2.28 × 1011 m. ii) Contrast this force with the force on the rock from Mars (gM = 3.72 m/s2).
A spherical mass used for short put has a mass m and diameter d. If two masses are separated by d/2 (from surface to surface) what will be the magnitude of gravitational force on the balls?
For the following configuration of masses, determine the magnitude and direction of the sum of the gravitational force that spheres B and D exert on sphere C. Take all spheres to have the same mass equal to 6.0kg.
Particles of mass 2m and 3m are placed on the y-axis. The 2m mass lies at the origin while 3m has a position y. A third particle is placed on a point on the y-axis where the sum of gravitational force on it from the other two particles is zero. Give the coordinate of the point in terms of y.
To study Newton's law of gravity, a student fixes two metallic spheres each of mass 5.0 kg separated by 24.0cm. The student positions a third sphere of mass 0.50 kg at 5.0 cm from the midpoint of the line connecting the two spheres. The student releases the third sphere from rest. What is the acceleration magnitude and direction of the third sphere if it experiences only gravitational force from the other two spheres? Treat all masses like point masses.
In a celestial system, two massive entities with masses of 3 x 1028 kg and 7 x 1028 kg are positioned 3.4 x 1011 m apart from each other. Determine the speed of both entities in this system
Consider a pair of balls (spherical) that have a collective mass of 211 kg. They are subject to a gravitational force of 6.25 x 10-8 N, and their gravitational potential energy is ₋12.4 x 10-8 J. Determine the individual mass of each ball in the given scenario.
A cylindrical object with a mass of 2.3 kg is located on a satellite that orbits Mars at an altitude of 400 km from its surface. Determine the gravitational force experienced by this cylinder. The mass of Mars is (6.42 × 1023 kg) and its radius is (3.34 × 106 m).
Two satellites, named CosmoComm and SolarSurfer, each with a mass of 120 kg, are launched into space and positioned 48 meters apart from each other. At what distance from the Earth's center will the gravitational force between CosmoComm and SolarSurfer be equal to the gravitational force exerted by Earth on a single satellite?
How much gravitational attraction do an 80 kg astronaut and a 140 kg alien have on each other when they are seated 2.1 meters away from each other?
Two metallic spheres have a total mass of 210 kg. When the centers of these spheres are separated by 18 cm, they experience a gravitational pull of 9 x 10-6 N. Determine the individual mass of each metallic sphere in this scenario.
Consider a system of clay balls of different masses placed at various positions in space, as shown in the figure. In the given scenario, calculate the net gravitational force on the 25 kg mass. Express your answer in unit vectors.