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2FI8 (Dimensional Analysis) The gravitational force of attraction F between two objects depends on the masses m1 and m2 of the two objects, the distance r between the two objects, and the gravitational constant G. Here are the units, using kg for kilograms, m for meters, and sec for seconds: 2. [F] = kg m/sec2 [m2] = kg [m,] kg [r] m [G] m3/(sec2 kg) (а.) Find a dimensionless group involving F, G, m1, m2, and r. In doing this, assume that the exponents on mi and m2 are the same. (ь.) Use your result in part (a.) to find a dimensionally feasible formula for the gravitational force of attraction F. Assume that the II number is 1. The gravitational force is said to be an inverse square law involving the distance between the two objects. Does your formula (c.) with this? agree What happens to the gravitational force of attraction if the distance between two (d.) objects is doubled? Be specific.

2FI8 (Dimensional Analysis) The gravitational force of attraction F between two objects depends on the masses m1 and m2 of the two objects, the distance r between the two objects, and the gravitational constant G. Here are the units, using kg for kilograms, m for meters, and sec for seconds: 2. [F] = kg m/sec2 [m2] = kg [m,] kg [r] m [G] m3/(sec2 kg) (а.) Find a dimensionless group involving F, G, m1, m2, and r. In doing this, assume that the exponents on mi and m2 are the same. (ь.) Use your result in part (a.) to find a dimensionally feasible formula for the gravitational force of attraction F. Assume that the II number is 1. The gravitational force is said to be an inverse square law involving the distance between the two objects. Does your formula (c.) with this? agree What happens to the gravitational force of attraction if the distance between two (d.) objects is doubled? Be specific.

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2FI8 (Dimensional Analysis) The gravitational force of attraction F between two objects depends on the masses m1 and m2 of the two objects, the distance r between the two objects, and the gravitational constant G. Here are the units, using kg for kilograms, m for meters, and sec for seconds: 2. [F] = kg m/sec2 [m2] = kg [m,] kg [r] m [G] m3/(sec2 kg) (а.) Find a dimensionless group involving F, G, m1, m2, and r. In doing this, assume that the exponents on mi and m2 are the same. (ь.) Use your result in part (a.) to find a dimensionally feasible formula for the gravitational force of attraction F. Assume that the II number is 1. The gravitational force is said to be an inverse square law involving the distance between the two objects. Does your formula (c.) with this? agree What happens to the gravitational force of attraction if the distance between two (d.) objects is doubled? Be specific.
Transcribed Image Text:2FI8 (Dimensional Analysis) The gravitational force of attraction F between two objects depends on the masses m1 and m2 of the two objects, the distance r between the two objects, and the gravitational constant G. Here are the units, using kg for kilograms, m for meters, and sec for seconds: 2. [F] = kg m/sec2 [m2] = kg [m,] kg [r] m [G] m3/(sec2 kg) (а.) Find a dimensionless group involving F, G, m1, m2, and r. In doing this, assume that the exponents on mi and m2 are the same. (ь.) Use your result in part (a.) to find a dimensionally feasible formula for the gravitational force of attraction F. Assume that the II number is 1. The gravitational force is said to be an inverse square law involving the distance between the two objects. Does your formula (c.) with this? agree What happens to the gravitational force of attraction if the distance between two (d.) objects is doubled? Be specific.
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