When man stands on a bathroom scale here on Earth, it reads 580 N . Assume each

Question

When man stands on a bathroom scale here on Earth, it reads 580 N . Assume each planet to be a perfect sphere with the following parameters:

Part A: What would be his mass on Mars, Venus, Saturn?

Part B: What is the magnitude of the gravitational force Mars, Venus, Saturn would exert on man if he stood on its surface?

If the math is exactly the same you don't need to solve all 6 answers if it's easy to follow the work. Thanks!

Planet Mass, kg Radius, m Mars 6.419×1023 3.396×106 Venus 4.869×1024 6.052×106 Saturn 5.685×1026 6.027×107

Explanation / Answer

part(A)

weight of the man on earth = Fe = G*Me*m/Re^2 = 580

(6.674*10^-11*5.972*10^24*m)/(6.371*10^6)^2 = 580

mass of the man = 59.065 kg

the mass of the man is independent of mass of planet or radius

mass is same on all planete

part(B)

gravitational force on mars , Fm = G*Mm*m/Rm^2

Fm = (6.674*10^-11*6.419*10^23*59.065)/(3.396*10^6)^2

Fm = 219.4 N   <<<<--answer

gravitational force on venus , Fv = G*Mv*m/Rv^2

Fv = (6.674*10^-11*4.869*10^24*59.065)/(6.052*10^6)^2

Fv = 524.03 N   <<<<--answer

gravitational force on saturn , Fs = G*Ms*m/Rs^2

Fs = (6.674*10^-11*5.685*10^26*59.065)/(6.027*10^7)^2

Fs = 616.9 N   <<<<--answer

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

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