- - 9.3✶✶ (a) Consider the tidal force (9.12) on a mass m at the position P of Figure 9.4. Write d as (d₁ = R₁) = d(1 — Re/do) and use the binomial approximation (1 − e)-2 ≈1+2€ to show that Frid -(2GMmm Re/d³). Confirm the direction of the force shown in Figure 9.4 and make a numerical comparison of the tidal force with the gravitational force mg of the earth. (b) Do the corresponding calculations for the force at the point R. Compare this force with that of part (a) (magnitude and direction).
- - 9.3✶✶ (a) Consider the tidal force (9.12) on a mass m at the position P of Figure 9.4. Write d as (d₁ = R₁) = d(1 — Re/do) and use the binomial approximation (1 − e)-2 ≈1+2€ to show that Frid -(2GMmm Re/d³). Confirm the direction of the force shown in Figure 9.4 and make a numerical comparison of the tidal force with the gravitational force mg of the earth. (b) Do the corresponding calculations for the force at the point R. Compare this force with that of part (a) (magnitude and direction).
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Transcribed Image Text:9.3** (a) Consider the tidal force (9.12) on a mass m at the position P of Figure 9.4. Write d as
(d。 — Re) = d(1 - Re/do) and use the binomial approximation (1 − e)-2 ≈1+2Є to show that
≈ −(2GM…mRe/do³) ŷ. Confirm the direction of the force shown in Figure 9.4 and make a
numerical comparison of the tidal force with the gravitational force mg of the earth. (b) Do the
corresponding calculations for the force at the point R. Compare this force with that of part (a)
(magnitude and direction).
Frid
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