What is the weight of the statue of liberty in the following cases: 1. Calculate the weight of the Statue of Liberty (205 tons) on Earth. The Earth has a mass of 6 * 10^24 kg and a radius of 6.4 ×...
What is the weight of the statue of liberty in the following cases:
1. Calculate the weight of the Statue of Liberty (205 tons) on Earth. The Earth has a mass of 6 * 10^24 kg and a radius of 6.4 × 10^6 m.
2. What would this weight be on Mars, with mass 0.11 times that of Earth and radius 0.53 times that of Earth?
The value of the universal gravitational constant is 6.67*10^-11 N*m^2/kg^2.
- print Print
- list Cite
Expert Answers
calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
According to the Newton's law of universal gravitation, the force of gravitational attraction between two objects of mass M1 and M2 placed a distance R from each other is given by G*M1*M2/R^2.
Here G is the universal gravitational constant given as 6.67 × 10−11 N*m^2/kg^2.
The mass of the Statue of Liberty is 205 tons or 205*10^3 kg. The mass of the Earth is 6*10^24 kg. And the distance between the two, which is the distance between their center of mass is the radius of Earth equal to 6.4*10^6 m.
The Weight of the statue on Earth turns out to be:
6.67*10^-11*205*10^3*6.4*10^24 / (6.4*10^6)^2
=> 2.134*10^6 N
Now to find the weight of the same statue on Mars which has a mass 0.11 times that of the Earth and a radius 0.53 times that of the Earth we have:
6.67*10^-11*205*10^3**.11*6.4*10^24 / (.53*6.4*10^6)^2
=> 8.36*10^5 N.
Related Questions
- Calculate the radius of the Earth if its mass is 6.0 x 10^24 kg.
- 1 Educator Answer
- Calculate the weight of a 50.0 kg mass on the moon using Newton's Law of Universal Gravitation....
- 1 Educator Answer
- Find magnitude of gravitational force a61.8kg person experience while standing on surface of...
- 1 Educator Answer
- The mass of the Earth to be 5.98 X 10^24 kg. If the Earth's gravitational force causes a falling...
- 1 Educator Answer
- Two balls, each with a mass of 0.813 kg, exert a gravitational force of 8.38 x 10^-11 N on each...
- 1 Educator Answer
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.