17. (3 pts) The gravitational force between two asteroids is inversely proportional to the square of...
The gravitational force F between an object and the Earth is inversely proportional to the astronaut weighs 206 pounds on the surface of the Earth, what will his astronaut weigh 400 miles above the Earth? Assumethat the radius of the Earth s400mles (Round off your answer to the nearest pound. square of the distance from the object to the ceriter of the Earth. If an How to enter your answer Ib The gravitational force F between an object and 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...
The gravitational force between a pair of asteroids is 90 N when they are separated by a distance of 1,000 m. What would the attractive force be if the distance was increased by a factor of 3?
Two identical asteroids are floating in space, separated by a distance, d. The asteroids both have a charge q and a mass m. If the Coulomb force and the gravitational force are equal (thereby counteracting each other), find the charge on an asteroid as a function of mass. As a reminder, the equation for gravitational force is F=Gm1m2r122.
5 The intensity of light, 1, from a light source is inversely proportional to the square of the distance, d from the light source. (a) If the intensity of light is 4 watts per square meter at a distance of 6 meters from the light source, create a function representing the relationship. (b) Find the intensity of light at a distance of 8 meters from the light source. (c) At what distance would the light quadruple in intensity? 6. Find...
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)?
Two identical asteroids are floating in space, separated by a distance, d. The asteroids both have a charge q and a mass m. If the Coulomb force and the gravitational force are equal (thereby counteracting each other), find the charge on an asteroid as a function of mass. As a reminder, the equation for gravitational force is F=Gm1m2r122. (Can you also add a dimensional analysis please) mim2 12
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 four times as strong as the other, are placed 11 ft apart, how far away from the stronger light source should an object be placed on the line between the two sources so as to receive the least illumination?
5. (15 pts] A force acting on an object is proportional to the square root of the distance the object moves. The equation for the distance r is: 19 = kyr, for some constant k. The object starts at t=0 with position r = 0 and velocity v = 0. The object moves four meters in the first second. That is, r(t = 1) = 4. (a) Find the object's velocity as a function of position, v(r). (b) Find the...
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...