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The tidal force on a small object of mass m, defined as the difference in the gravitational force that would be exerted onm at a distance at the near and the far side of the object, due to the gravitation at a distance R from M, is given by:

a. Ftidal=2GMmR−³Δr

b. Ftidal=2GMmR³Δr

c. Ftidal=2GMm/ R³Δr

d. Ftidal= 2GMm/ R⁻³Δr

1 Answer

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Final answer:

The tidal force on a small object due to the gravitational force at a distance from a larger mass can be calculated using the formula Ftidal = 2GMm/R^3 * Δr.

The Correct Option is; c. Ftidal=2GMm/ R³Δr

Step-by-step explanation:

The tidal force on a small object of mass m due to the gravitational force at a distance R from a larger mass M can be calculated using the formula Ftidal = 2GMm/R^3 * Δr. So, the correct option is c. Ftidal = 2GMm/R^3 * Δr.

is the tidal force,

M is the mass of the object causing the tidal force,

m is the mass of the small object experiencing the tidal force,

R is the distance from the center of the object causing the tidal force,

Δr is the difference in the distances from the center of the object causing the tidal force to the near and far sides of the small object.

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