We all know the Earth exerts gravity on us, but other objects inthe solar system also pull on us. In the following series ofproblems we will investigate how strong gravity is for a personstanding on the surface of the Earth from various objects in thesolar system. You can answer the following series of questionsusing Newton's Law of Gravity; use the units given and theGravitational Constant, G = 6.67 ×10-11 m3/kg/s2.
- What is the force of gravity due to the Earth on a 46.0 kg ASTR110 student standing on the equator during Spring Break. DATA:Equatorial radius of the Earth 6.378×106meters; mass of the Earth 5.98×1024kg.
- What is the force of gravity due to the Moon on a 46.0 kg ASTR110 student standing on the equator during Spring Break. DATA: meandistance to the Moon 3.84×108 meters; mass ofthe Moon 7.36×1022 kg.
- When Jupiter is on the same side of the Sun as the Earth thedistance between the Earth and Jupiter can be as small as6.30×1011 m. Knowing this, what is the maximumforce of gravity due to Jupiter on a 46.0 kg ASTR 110 studentstanding on the equator during Spring Break. DATA: Mass of Jupiter= 1.90×1027 kg.
- Some people claim that the location of Jupiter can havedramatic consequences on human events on Earth. For comparison tothe last problem, what is the force of gravity due to a 100 kgperson hugging a 46.0 kg ASTR 110 student. Assume the distancebetween the students is 0.3 meters.