Suppose Earth were a nonrotating uniform sphere. As a reward for earning the hig

Question

Suppose Earth were a nonrotating uniform sphere. As a reward for earning the highest lab grade, your physics professor chooses your laboratory team to participate in a gravitational experiment at a deep mine on the equator. This mine has an elevator shaft going 10.7 km into Earth. What would be the loss in weight at the bottom of this deep shaft for a student who weighs 600 N at the surface of the Earth?

Our teacher said that the only mass of the Earth that contributes to your weight is that between you and the center of the Earth.

Please help me!!!

Explanation / Answer

Given Depth = 10.7 km Weight of the person = 600 N ____________________________________________________________ The relation to find the gravity while going to depth = g(depth) = g(1-d/r)-----(1) where d is the depth r is the radius of the earth. subsititute the given values in the equation g(depth) = 9.8[1-(10.7*10^3/6.3*10^6)] = 9.8(1-0.001) = 9.8(0.999) = 9.7 m/s^2 ______________________________________________________________________ weight of the person W = mg m = W/g = 600/9.8 = 61.22 kg Now the weight of the person at the given depth = W = 61.22*9.7 = 593 N

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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