Question

If your mass is 72 kg, your textbook's mass is 3.7 kg, and you and your textbook are separated by a distance of 0.33 m, what is the gravitational force between you and your textbook? Newton's law of gravitation is Fgravity = Gm1m2/r^2. The gravitational constant G is 6.67 x 10^-11 N.m^2/kg.

A. 5.38 x 10^-8 N
B. 1.63 x 10^-7 N
C. 2.45 x 10 N
D. 4.94 x 10^-7 N

Answer 1

Using Newton's law of gravitation, the gravitational force between a 72 kg person and a 3.7 kg textbook separated by 0.33 m is calculated as 4.94 x 10^-7 N, which corresponds to answer choice D.

Step-by-step explanation:

To calculate the gravitational force between you with a mass of 72 kg and your textbook with a mass of 3.7 kg separated by a distance of 0.33 m, you use Newton's law of gravitation Fgravity = Gm1m2/r^2. Here, G is the gravitational constant which is 6.67 x 10^-11 N.m^2/kg^2. Plugging the given values into the formula gives:

Fgravity = (6.67 x 10^-11 N.m^2/kg^2) * (72 kg) * (3.7 kg) / (0.33 m)^2 = 4.94 x 10^-7 N.

Thus, the correct answer is D. 4.94 x 10^-7 N.