Question

You place a 0.13 kg can of soup and a 0.31 kg jar of pickles on the kitchen counter, separated by a distance of 0.42 m. What is the magnitude of the force of gravity that the jar exerts on the can? Express your answer to two significant figures and include the appropriate units.

Answer 1

The magnitude of the force of gravity between two objects can be calculated using Newton's law of universal gravitation:

F = (G * m1 * m2) / r^2

Where:

F is the force of gravity,

G is the gravitational constant (approximately 6.67430 × 10^-11 N·m^2/kg^2),

m1 and m2 are the masses of the objects, and

r is the distance between the centers of the objects.

Given:

Mass of the can of soup (m1) = 0.13 kg

Mass of the jar of pickles (m2) = 0.31 kg

Distance between the objects (r) = 0.42 m

Let's calculate the magnitude of the force of gravity:

F = (6.67430 × 10^-11 N·m^2/kg^2) * (0.13 kg) * (0.31 kg) / (0.42 m)^2

F ≈ 2.94 × 10^-8 N

Therefore, the magnitude of the force of gravity that the jar exerts on the can is approximately 2.94 × 10^-8 N (newtons).

Step-by-step explanation:

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Answer 2

The magnitude of the force of gravity that the jar exerts on the can is approximately 2.76 x 10^-6 N.

Step-by-step explanation:

The magnitude of the force of gravity that the jar exerts on the can can be calculated using Newton's law of universal gravitation, which states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

In this case, the mass of the can is 0.13 kg and the mass of the jar is 0.31 kg. The distance between them is 0.42 m.

Plugging these values into the formula, we can find the magnitude of the force:

F = G * (m1 * m2) / r^2

where G is the gravitational constant (6.674 × 10-11 N·m²/kg²).

Substituting the values:

F = (6.674 × 10-11 N·m²/kg²) * (0.13 kg * 0.31 kg) / (0.42 m)^2

F ≈ 2.76 x 10^-6 N

Therefore, the magnitude of the force of gravity that the jar exerts on the can is approximately 2.76 x 10^-6 N.