Discworld has radius R and mass M; the incompetent wizard Rincewind has mass mand levitates at height h directly above the center of the disc. The gravitational forceexerted by Discworld on the wizard is given by2GMmh (1F =-R2h(R² + h²)1/2Assume h < R and think of F as a function of h, with the other quantities constant.(a) Expand F as a series in h/R. Give at least three nonzero terms.(b) Use your answer to part (a) to write a partial sum for the work required to movethe wizard from h = 0.02R to h = 0.05R. Give at least three nonzero terms.

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Discworld has radius R and mass M; the incompetent wizard Rincewind has mass m and levitates at height h directly above the center of the disc. The gravitational force exerted by Discworld on the wizard is given by 2GMmh (1 F = 1 - R2 h (R² + h²)!/2 Assume h < R and think of F as a function of h, with the other quantities constant. (a) Expand F as a series in h/R. Give at least three nonzero terms. (b) Use your answer to part (a) to write a partial sum for the work required to move the wizard from h = 0.02R to h = 0.05R. Give at least three nonzero terms.

Discworld has radius R and mass M; the incompetent wizard Rincewind has mass m and levitates at height h directly above the center of the disc. The gravitational force exerted by Discworld on the wizard is given by 2GMmh (1 F = 1 - R2 h (R² + h²)!/2 Assume h < R and think of F as a function of h, with the other quantities constant. (a) Expand F as a series in h/R. Give at least three nonzero terms. (b) Use your answer to part (a) to write a partial sum for the work required to move the wizard from h = 0.02R to h = 0.05R. Give at least three nonzero terms.