What is the gravitational force between two 5 kg masses separated by 2 meters? (G = 6.67 x 10^-11 N m²/kg²)

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Q: What is the gravitational force between two 5 kg masses separated by 2 meters? (G = 6.67 x 10^-11 N m²/kg²)

Solution: Using F = G(m1*m2)/r², F = (6.67 x 10^-11)(5)(5)/(2²) = 1.67 x 10^-10 N.

Steps: 9

Step 1: Identify the values needed for the formula. We have two masses (m1 and m2) both equal to 5 kg, the distance (r) between them is 2 meters, and the gravitational constant (G) is 6.67 x 10^-11 N m²/kg².
Step 2: Write down the formula for gravitational force: F = G(m1 * m2) / r².
Step 3: Substitute the values into the formula: F = (6.67 x 10^-11) * (5) * (5) / (2²).
Step 4: Calculate the denominator: 2² = 4.
Step 5: Calculate the numerator: (6.67 x 10^-11) * (5) * (5) = (6.67 x 10^-11) * 25.
Step 6: Multiply 6.67 by 25: 6.67 * 25 = 166.75, so we have 166.75 x 10^-11.
Step 7: Now divide the numerator by the denominator: 166.75 x 10^-11 / 4 = 41.6875 x 10^-11.
Step 8: Convert 41.6875 x 10^-11 to scientific notation: 4.16875 x 10^-10.
Step 9: Round the answer to two decimal places: 1.67 x 10^-10 N.