Use the data of Table 7.3 to find the point betweenMars and the Sun at which an

Question

Use the data of Table 7.3 to find the point betweenMars and the Sun at which an objectcan be placed so that the net gravitational force exerted byMars and Sun on this object iszero.
1 m from the center of Mars


data from 7.3=
Mars
Mass (kg) = 6.42 X 1023
Mean Radius (m) = 3.37 X 106
Period (s)= 5.94 X 107
Mean distance from Sun (m) = 2.28 X 1011
T2 / (r3) 10-19 (s2 / m3 )= 2.98 Use the data of Table 7.3 to find the point betweenMars and the Sun at which an objectcan be placed so that the net gravitational force exerted byMars and Sun on this object iszero.
1 m from the center of Mars

data from 7.3=
Mars
Mass (kg) = 6.42 X 1023
Mean Radius (m) = 3.37 X 106
Period (s)= 5.94 X 107
Mean distance from Sun (m) = 2.28 X 1011
T2 / (r3) 10-19 (s2 / m3 )= 2.98 data from 7.3= Mars Mass (kg) = 6.42 X 1023 Mean Radius (m) = 3.37 X 106 Period (s)= 5.94 X 107 Mean distance from Sun (m) = 2.28 X 1011
T2 / (r3) 10-19 (s2 / m3 )= 2.98 T2 / (r3) 10-19 (s2 / m3 )= 2.98

Explanation / Answer

Let the distance of the object from mars be x m, and the distancefrom the sun be (2.28x1011 - x) m For the net gravitational force to be zero, Force of gravity bymars=force of gravity by sun GMmm/x2=GMsm/(2.28x1011 - x)2   Mm/Ms=x/(2.28x1011 -x)    x/(2.28x1011 -x)=6.42x1023/2x1030                           = 5.67x10-4 x=12.93x107-5.67x10-4x x=1.3x108 m away from mars. (PM me if this is wrong--the calculations may beoff)

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.