a turtle has a mass of 10kg. if earths mass is 6 x 10^{24} kg and its radius is 6.4 x 10^{6} kg, what is the…

Explanation:

Step1: Recall the formula for gravitational force

The formula for gravitational force (F = G\frac{Mm}{r^{2}}), where (G = 6.67\times10^{- 11}\space Nm^{2}/kg^{2}), (M) is the mass of the Earth, (m) is the mass of the turtle, and (r) is the radius of the Earth.

Step2: Substitute the given values into the formula

Substitute (G = 6.67\times10^{-11}\space Nm^{2}/kg^{2}), (M = 6\times10^{24}\space kg), (m = 10\space kg), and (r = 6.4\times10^{6}\space m) into (F = G\frac{Mm}{r^{2}}). [ \begin{align*} F&=(6.67\times 10^{-11})\frac{(6\times 10^{24})\times(10)}{(6.4\times 10^{6})^{2}}\ &=(6.67\times 10^{-11})\frac{6\times10^{25}}{4.096\times 10^{13}}\ &=(6.67\times 10^{-11})\times(1.465\times10^{12})\ &=6.67\times1.465\times10^{-11 + 12}\ &=9.77\times10^{1}\ &\approx98\space N \end{align*} ]

Answer:

The weight of the turtle is approximately (98\space N)