A student wants to calculate the value of Newton's constant G using the following relation: GM R Earth and R is the radius of the Earth. She has the following values and uncertainties : where g is the acceleration due to gravity near the surface of the Earth, M is the mass of the (9.8 ± 0.2)m/s², M±AM = (6.0000 ±0.0004) × 1024 kg, R±AR= (6380 ± 20)km Which option below correctly expresses the resulting value of G and its uncertainty AG? Select one: O G±AG= (6.67±0.02) × 10-11 „m² kg-s² G±AG= (6.7±0.2) × 10-11 _m² kg-s² G±AG = (6.67±0.2) × 10-10 m kg-s G±AG= (6.7±0.02) × 10-11 _m² kg-s²

University Physics Volume 1
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Chapter1: Units And Measurement
Section: Chapter Questions
Problem 83AP: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of...
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A student wants to calculate the value of Newton's constant G using the following relation:
GM
g=
R
where g is the acceleration due to gravity near the surface of the Earth, M is the mass of the
Earth and R is the radius of the Earth. She has the following values and uncertainties :
g±Ag= (9.8±0.2)m/s², M ± AM = (6.0000 ±0.0004) × 1024 kg,
R±AR=(6380 ± 20)km
Which option below correctly expresses the resulting value of G and its uncertainty AG?
Select one:
3
G+AG = (6.67±0.02) × 10-11 m²
kg-s?
G±AG= (6.7±0.2) × 10-11 _m²
kg-s²
3
G±AG = (6.67±0.2) × 10-10 m²
kg-s
2
G±AG = (6.7±0.02) × 10"
kg-s²
Transcribed Image Text:A student wants to calculate the value of Newton's constant G using the following relation: GM g= R where g is the acceleration due to gravity near the surface of the Earth, M is the mass of the Earth and R is the radius of the Earth. She has the following values and uncertainties : g±Ag= (9.8±0.2)m/s², M ± AM = (6.0000 ±0.0004) × 1024 kg, R±AR=(6380 ± 20)km Which option below correctly expresses the resulting value of G and its uncertainty AG? Select one: 3 G+AG = (6.67±0.02) × 10-11 m² kg-s? G±AG= (6.7±0.2) × 10-11 _m² kg-s² 3 G±AG = (6.67±0.2) × 10-10 m² kg-s 2 G±AG = (6.7±0.02) × 10" kg-s²
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