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The gravitational force F between an object and the Earth is inversely proportional to the astron...
The weight (in pounds) w t(d) of an object varies inversely as the square of its distance (in thousands of miles) d from the center of Earth a. An astronaut weighs 180 pounds at sea level (about...
The weight (in pounds) w t(d) of an object varies inversely as the square of its distance (in thousands of miles) d from the center of Earth a. An astronaut weighs 180 pounds at sea level (about 4 thousand miles from Earth's center) Find an equation off b. How much would the astronaut weigh at 4 thousand miles above Earth's surface? pounds c. At what distance from the center of Earth would the astronaut weigh 1 pound? miles (Round to...
17. (3 pts) The gravitational force between two asteroids is inversely proportional to the square of...
17. (3 pts) The gravitational force between two asteroids is inversely proportional to the square of the distance between them. When the two asteroids are 25 million meters apart (2.5 10), the force of gravity is 300 N. Find an equation F(d) relating the gravitational force between the two asteroids as a function of the distance d between them.
please show all work. thank you (10 Points) The moon revolves about the earth in a...
please show all work. thank you
(10 Points) The moon revolves about the earth in a circle (very nearly) of radius R =239,000 mi or 12.6 X 108 ft, and requires 27.3 days of 23.4 X 105 sec to make a complete revolution. (a) What is the acceleration of the moon towards the earth? (Ans: a = 8.96 X 10-3 ft/sec) (b) If the gravitational force exerted on a body by the earth is inversely proportional to the square of...
Adding to Newton’s law of universal gravitation, the gravitational force between two masses is proportional to...
Adding to Newton’s law of universal gravitation, the gravitational force between two masses is proportional to 1/r^2, where r is the distance between the masses. Surprisingly, the electric force between two electric charges is also proportional to 1/r^2, where r is the distance between the electric charges. (Coulomb’s law) These facts are called the “inverse-square laws” -> Now give “your answer” to the question: Why (or How) are these forces proportional to 1/r^2 (not 1/r, 1/r^3, 1/r^100, etc)?
General Overview: Any two objects will exert an attractive force on the other. The force is...
General Overview: Any two objects will exert an attractive force on the other. The force is given as directly proportional to the product of the masses and inversely proportional to the distance from the the objects centers of mass squared. Those values will not give the unit of Newtons (N), therefore there must a constant value G called the Universal Gravitation constant that has the value and units of 6.67 x 10-11 N m/ kg". Big G gives meaning to...
2. strength of the gravitational force exerted by the planet on the moon be denoted by...
2. strength of the gravitational force exerted by the planet on the moon be denoted by F, and let the strength of the gravitational force exerted by the moon on the planet be F A moon of mass m orbits a planet of mass 100m. Let the (a) What will be the ratio of F, to F,? (b) The planet Pluto has 1/500 the mass and 1/15 the radius of Earth. What is the value of g on the surface...
the frictional force between a sliding object and the contact surface is proportional to a the...
the frictional force between a sliding object and the contact surface is proportional to a the wegiht of the object b the velocity of the object c the velocity of the object squared d the square root of the velocity of the object
Mm 9x Weight of an object on the X-planet surface Weight W = F = mgx...
Mm 9x Weight of an object on the X-planet surface Weight W = F = mgx G = 6.67 x 10-11 Gravitational acceleration on a X-planet EX-8 In a 2014 epic science fiction movie, Interstellar, a small group of astronauts travel through a wormhole near Saturn in search of a new home for humanity. In the film the astronauts are even able to close a black hole (mass is very large) called Gargantua. Now assume these astronauts are landed at...
What is the gravitational force on a 52 kilogram person standing on the Earth, due to...
What is the gravitational force on a 52 kilogram person standing on the Earth, due to the Earth's gravity? The mass of the Earth is 5.97x 104 kilograms and the radius of the Earth is 6.38 x 10 meters. Round your answer to the nearest integer. A. What is the gravitational force on a 71 kilogram person standing on the Earth, due to Moon's gravity? The mass of the Moon is 7.34 x 102 kilograms and the distance from the...
The intensity of a light source at a distance is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. Two light sources, one f...
The intensity of a light source at a distance is directly
proportional to the strength of the source and inversely
proportional to the square of the distance from the source. Two
light sources, one five times as strong as the other, are 9 m
apart. At what point on the line segment joining the sources is the
intensity the weakest? Write an equation representing the
intensity, I, at a distance, x, from the weaker lightbulb, and with
k as the...
The weight (in pounds) w t(d) of an object varies inversely as the square of its distance (in thousands of miles) d from the center of Earth a. An astronaut weighs 180 pounds at sea level (about 4 thousand miles from Earth's center) Find an equation off b. How much would the astronaut weigh at 4 thousand miles above Earth's surface? pounds c. At what distance from the center of Earth would the astronaut weigh 1 pound? miles (Round to...
17. (3 pts) The gravitational force between two asteroids is inversely proportional to the square of the distance between them. When the two asteroids are 25 million meters apart (2.5 10), the force of gravity is 300 N. Find an equation F(d) relating the gravitational force between the two asteroids as a function of the distance d between them.
please show all work. thank you
(10 Points) The moon revolves about the earth in a circle (very nearly) of radius R =239,000 mi or 12.6 X 108 ft, and requires 27.3 days of 23.4 X 105 sec to make a complete revolution. (a) What is the acceleration of the moon towards the earth? (Ans: a = 8.96 X 10-3 ft/sec) (b) If the gravitational force exerted on a body by the earth is inversely proportional to the square of...
General Overview: Any two objects will exert an attractive force on the other. The force is given as directly proportional to the product of the masses and inversely proportional to the distance from the the objects centers of mass squared. Those values will not give the unit of Newtons (N), therefore there must a constant value G called the Universal Gravitation constant that has the value and units of 6.67 x 10-11 N m/ kg". Big G gives meaning to...
2. strength of the gravitational force exerted by the planet on the moon be denoted by F, and let the strength of the gravitational force exerted by the moon on the planet be F A moon of mass m orbits a planet of mass 100m. Let the (a) What will be the ratio of F, to F,? (b) The planet Pluto has 1/500 the mass and 1/15 the radius of Earth. What is the value of g on the surface...
Mm 9x Weight of an object on the X-planet surface Weight W = F = mgx G = 6.67 x 10-11 Gravitational acceleration on a X-planet EX-8 In a 2014 epic science fiction movie, Interstellar, a small group of astronauts travel through a wormhole near Saturn in search of a new home for humanity. In the film the astronauts are even able to close a black hole (mass is very large) called Gargantua. Now assume these astronauts are landed at...
What is the gravitational force on a 52 kilogram person standing on the Earth, due to the Earth's gravity? The mass of the Earth is 5.97x 104 kilograms and the radius of the Earth is 6.38 x 10 meters. Round your answer to the nearest integer. A. What is the gravitational force on a 71 kilogram person standing on the Earth, due to Moon's gravity? The mass of the Moon is 7.34 x 102 kilograms and the distance from the...
The intensity of a light source at a distance is directly
proportional to the strength of the source and inversely
proportional to the square of the distance from the source. Two
light sources, one five times as strong as the other, are 9 m
apart. At what point on the line segment joining the sources is the
intensity the weakest? Write an equation representing the
intensity, I, at a distance, x, from the weaker lightbulb, and with
k as the...
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