- 1The acceleration due to gravity is inversely proportional to the square of the distance from the centre of Earth
The acceleration due to gravity is inversely proportional to the square of the distance from the centre of Earth. The acceleration due to gravity for a satellite orbiting 7000 km above the centre of Earth is 8.2 m/s^2.a) write a formula for this relationship.b) at what height will the acceleration due to gravity be 6 m/s^2?---------I do not know how to approach this question because.. well all I know is that this function needs to be a rational function because this is the topic we are on. Please help and describe why you are doing the steps. Thanks in advance!!

- 2The illumination of an object by a light source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source
The illumination of an object by a light source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. If two light sources, one three times as strong as the other, are placed 10 ft apart, how far in ft from the stronger source should an object be placed on the line between the sources so as to receive the least TOTAL illumination (the sum of the illumination from each source)? Let x be the distance from the stronger source, in feet. The distance from the weaker source is therefore (10 - x). Let the total radiant power of the brighter souce be 3P and the other equal to P. The received illumination is Y = 3P/x^2 + P/(10-x)^2 Differentiate that to find where dY/dx = 0. Mimimum illumination will be there. You won't need to know P; it will cancel out.

- 3The intensity of illumination at a given point is directly proportional to the intensity of the light source and inversely proportional to the square of the distance from the light source
The intensity of illumination at a given point is directly proportional to the intensity of the light source and inversely proportional to the square of the distance from the light source. If a desk is properly illuminated by a 74.0 w lamp 8.00 ft from the desk, what size lamp will be needed to provide the same lighting at a distance of 12.0 ft?

- 4If y is directly proportional to x and inversely proportional to the square of z, and if y=0.384 when x=6 and z=5, find the constant of variation
If y is directly proportional to x and inversely proportional to the square of z, and if y=0.384 when x=6 and z=5, find the constant of variation.

- 5The weight of an object on or above the surface of Earth varies inversely as the square of the distance between the object and Earths center
The weight of an object on or above the surface of Earth varies inversely as the square of the distance between the object and Earths center. If a person weighs 180 pounds on Earths surface, find the persons weight 500 miles above the surface of the Earth. Assume that the radius of the Earth is 4000 miles. Round your answer to the nearest whole pound.

- 6Compared with the strength of Earth's gravity at its surface, how much weaker is gravity at a distance of 13 Earth radii from Earth's center
Compared with the strength of Earth's gravity at its surface, how much weaker is gravity at a distance of 13 Earth radii from Earth's center?

- 7weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L
The max. weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L.a) write an equation that expresses the proportionality.b) determine the constant of proportionality if a beam is 4 in. wide, 6 in. high, and 12 ft long can support a weight of 4800 lb.c) if a 10-ft beam, made of the same material is 3 in. wide and 10 in.high, what is the max. weight it can support?

- 8Set up the general equation from the given statement:m is proportional to the square of n and inversely proportional to both y and x
Set up the general equation from the given statement:m is proportional to the square of n and inversely proportional to both y and x.

- 9The weight of an object varies inversely with the square of the distance from the center of the Earth
The weight of an object varies inversely with the square of the distance from the center of the Earth. At Earth's surface, the weight of the space shuttle is about 4.5 million pounds. At that point, it is 4000 miles from the center of the Earth. How much will the space shuttle weigh when it is in orbit 200 miles above the surface of the Earth?

- 10The weight W of an object varies inversely as the square of the distance d from the center of the earth
The weight W of an object varies inversely as the square of the distance d from the center of the earth. At sea level (3978 mi from the center of the earth), an astronaut weights is 110lb. Find her weight when she is 459 mi above the surface of the earth and the space craft is not in motion.

- 11The illumination produced by a light source is inversely proportional to the square of the distance to the source
The illumination produced by a light source is inversely proportional to the square of the distance to the source. If a light source 5m from an object illuminates with 70 candela, what illumination would be produce if the object were mover to 12 m away?

- 12The gravitational force F between two objects is inversely proportional to the square of the distance between the objects
The gravitational force F between two objects is inversely proportional to the square of the distance between the objects. If the force F is 1.62x 10^-6N when the objects are 25cm apart, what is the gravitational force when the objects are 35cm apart?