Between which two objects is gravitational attraction the greatest if placed one meter apart a paperclip at one point is zero Mass a penny at 2.5 Mass a book at 860 Mass a cereal box of 500 miles a small pot at 1,200 mass
Gravitational attraction is greatest between the objects with the highest masses. Among the given objects, the small pot with a mass of 1,200 is the one with the highest mass. Therefore, the gravitational attraction is greatest between the small pot and any other object in the given scenario.
To determine the two objects between which the gravitational attraction is the greatest, we need to compare the magnitudes of the gravitational forces between the paperclip and each of the other objects.
The gravitational force between two objects can be calculated using the equation:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant (approximately 6.67430 x 10^-11 N m^2 / kg^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of the objects.
Let's calculate the gravitational forces between the paperclip and each of the other objects:
1. Gravitational force between the paperclip (mass = 0 kg) and the penny (mass = 2.5 kg):
F1 = (6.67430 x 10^-11) * (0 * 2.5) / (1^2)
= 0
2. Gravitational force between the paperclip (mass = 0 kg) and the book (mass = 860 kg):
F2 = (6.67430 x 10^-11) * (0 * 860) / (1^2)
= 0
3. Gravitational force between the paperclip (mass = 0 kg) and the cereal box (mass = 500 kg):
F3 = (6.67430 x 10^-11) * (0 * 500) / (1^2)
= 0
4. Gravitational force between the paperclip (mass = 0 kg) and the small pot (mass = 1200 kg):
F4 = (6.67430 x 10^-11) * (0 * 1200) / (1^2)
= 0
From the calculations above, we can see that the gravitational forces between the paperclip and all the other objects are zero. Therefore, the gravitational attraction is greatest between the paperclip and none of the other objects, as there is no gravitational force acting between them.
To determine which two objects experience the greatest gravitational attraction, we can calculate the gravitational force between each object pair using Newton's law of universal gravitation.
The formula to calculate the gravitational force is:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.674 × 10^-11 N(m/kg)^2)
m1 and m2 are the masses of the two objects
r is the distance between the two objects
Let's calculate the gravitational force between each object pair, assuming the distance between them is 1 meter.
1. Paperclip (mass = 0) and Penny (mass = 2.5):
F = (G * m1 * m2) / r^2
= (6.674 × 10^-11 * 0 * 2.5) / 1^2
= 0
2. Paperclip (mass = 0) and Book (mass = 860):
F = (G * m1 * m2) / r^2
= (6.674 × 10^-11 * 0 * 860) / 1^2
= 0
3. Paperclip (mass = 0) and Cereal box (mass = 500):
F = (G * m1 * m2) / r^2
= (6.674 × 10^-11 * 0 * 500) / 1^2
= 0
4. Paperclip (mass = 0) and Small pot (mass = 1,200):
F = (G * m1 * m2) / r^2
= (6.674 × 10^-11 * 0 * 1,200) / 1^2
= 0
Based on the calculations, the gravitational force between the paperclip and all other objects is zero. Therefore, the greatest gravitational attraction would not occur between any of these objects.