Universal Gravitation
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1 Add Ipotant Univeal Gavitation Pae: 7 Note/Cue Hee Unit: Dynaic (oce & Gavitation Univeal Gavitation Unit: Dynaic (oce & Gavitation NGSS Standad: HS-PS-4 MA Cuiculu aewok (00:.7 AP Phyic Leanin Objective:.B..,.B.., 3.A.3.3, 3.C.., 3.C.., 3.G.. Skill: olve poble involvin Newton Law of Univeal Gavitation Lanuae Objective: Undetand and coectly ue the te avity and avitation. Accuately decibe and apply the concept decibed in thi ection uin appopiate acadeic lanuae. Set up and olve wod poble elatin to Newton Law of Univeal Gavitation. Note: Gavity i a foce of attaction between two object becaue of thei a. The caue of thi attaction i not cuently known. Moe a caue a tone foce, but the foce et weake a the object et fathe away. Thi ean that the avitational pull of a inle object i diectly popotional to it a, and inveely popotional to it ditance, i.e., (The ybol ean i popotional to. We ue fo adiu becaue avitational field act in all diection, which ean we hould ue pheical coödinate. If we have two object, and :, and, Ue thi pace fo uay and/o additional note. AP Phyic : Aleba-Baed M. Bile
2 Add Ipotant Univeal Gavitation Pae: 73 Note/Cue Hee Unit: Dynaic (oce & Gavitation Becaue each object i pullin on the othe one, and the total foce i theefoe: inally, if we ae uin MKS unit, the ae ae in kiloa, the ditance i in ete. If we want the foce in newton to be coect, we have to ultiply by N the appopiate conveion facto, which tun out to be.7 0. (The unit ae choen becaue they cancel the and k fo the foula and ive newton, which i the deied unit. Thu the foula becoe: N k (.70 N The nube.7 0 i called the univeal avitation contant, and i k epeented by the ybol G. Thu we have Iaac Newton Law of Univeal Gavitation in equation fo: G If we divide thi expeion by the a of the object bein attacted (, we et the equation: G G Recall fo the ection on Gavitational ield on pae 5 that. Thi ean that: G N In the above expeion, G i.7 0, i the a of the Eath 4 ( k and i the adiu of the Eath ( If you plu thee nube into the foula, you et a expected. k k Ue thi pace fo uay and/o additional note. AP Phyic : Aleba-Baed M. Bile
3 Add Ipotant Univeal Gavitation Pae: 74 Note/Cue Hee Unit: Dynaic (oce & Gavitation Saple Poble: Q: ind the foce of avitational attaction between the Eath and a peon with a a of 75 k. The a of the Eath i k, and it adiu i A: G (.70 (5.970 ( N 4 (75 Thi i the ae nube that we would et uin, with 9.8. Ou appoxiation of 0 ive 750 N, which i within %. Q: ind the acceleation due to avity on the oon. A: oon oon G oon oon (.70 (7.350 ( Q: If the ditance between an object and the cente of a of a planet i tipled, what happen to the foce of avity between the planet and the object? G A: Statin with, if we eplace with 3, we would et: G G G ( Thu i of the oiinal. 9 Ue thi pace fo uay and/o additional note. AP Phyic : Aleba-Baed M. Bile
4 Add Ipotant Univeal Gavitation Pae: 75 Note/Cue Hee Unit: Dynaic (oce & Gavitation Hoewok Poble You will need planetay data fo Table S and Table T on pae 08 of you Refeence Table. The value of the univeal avitation contant G ay be found in Table B on pae 00 of you Refeence Table.. ind the foce of avity between the eath and the un. Anwe: N. ind the acceleation due to avity (the value of on the planet Ma. Anwe: A ytey planet in anothe pat of the alaxy ha an acceleation due to avity of 5.0. If the adiu of thi planet i.0 0, what i it a? Anwe: k Ue thi pace fo uay and/o additional note. AP Phyic : Aleba-Baed M. Bile
5 Add Ipotant Univeal Gavitation Pae: 7 Note/Cue Hee Unit: Dynaic (oce & Gavitation 4. A peon ha a a of 80. k. a. What i the weiht of thi peon on the uface of the Eath? Anwe: 785 N b. What i the weiht of the ae peon when obitin the Eath at a heiht of above it uface? (Hint: Reebe that avity act fo the cente of the Eath. It ay be helpful to daw a ketch. Anwe: 9N Ue thi pace fo uay and/o additional note. AP Phyic : Aleba-Baed M. Bile
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