Simba regiravhiti - matambudziko nemhinduro

Simba regiravhiti - matambudziko nemhinduro

1. Chii chinonzi chiyero che munda wegiravhiti yechinhu A nechinhu B?

Zvinozivikanwa:

Misa yechinhu A (m_A= = 1

Huremu hwechinhu B (m_B= = 2

Kureba kwechinhu A kubva pasi pano (r)_A= = 1

Kureba kwechinhu B kubva pasi pano (r)_B= = 2

Kuda: Chiyero chesimba regiravhiti rechinhu A nechinhu B

Solution:

Kuenzanisa kwesimba regiravhiti rePasi:

g = hukuru hwemunda wegiravhiti, G = simba regiravhiti risingaperi, m_B = huremu hwePasi, r_B = nharaunda yePasi

Chiyero chemunda wegiravhiti:

g_A :g_B

G: G/2

1: 1/2

2: 1

2. Kana nzvimbo yechinhu A iri 0.5R pamusoro penyika, nepo nzvimbo yechinhu B iri 2R pamusoro penyika, saka chiyero chesimba regiravhiti chakaonekwa nechinhu A uye chinhu B. R ndiyo radius yeNyika.

Zvinozivikanwa:

Kureba kwechinhu A kubva pakati peNyika = 0.5R + R = 1.5R = 1.5

Kureba kwechinhu B kubva pakati peNyika = 2R + R = 3R = 3

Kuda: Chiyero chemunda wegiravhiti

Solution:

Simba regiravhiti rinoonekwa nechinhu A (g)_A):

Simba regiravhiti rinoonekwa nechinhu B (g)_B):

Chiyero che munda wegiravhiti zvakasangana nechinhu A nechinhu B:

3. Munda wegiravhiti uri pamusoro peNyika ndi g, saka chii chinonzi munda wegiravhiti uri pakakwirira kwe1.5R pamusoro peNyika. R = nharaunda yeNyika.

mhinduro

Simba regiravhiti (F) rinoenderana zvakananga nesimba regiravhiti (g). Simba regiravhiti parinokura, simba regiravhiti parinokurawo.

Simba rinokwevera pasi (F) rinoenderana zvakananga ne1/r², apo r = daro rechinhu kubva pakati penyika. Simba regiravhiti rinoenderana zvakananga ne 1/r² saka munda wegiravhiti (g) wakaenzanawo ne1/r².

Kana mutyairi wendege ari pamusoro peNyika, iyo iri R (R = radius yenyika) kubva pakati penyika, simba regiravhiti riri g. Izvi zvinogona kuratidzwa kuburikidza nekuverenga kunotevera:

Simba regiravhiti (g) rinoenderana ne1 / R²Kana R = 1 saka 1 / R² = 1 / 1² = 1/1 = 1. Kana daro remuchadenga kubva pakati penyika = 1 saka muchadenga anosangana nesimba regiravhiti re = (g) (1) = g.

Kureba kwemuchadenga kubva pakati penyika i1.5R = 1.5 (1) = 1.5 ipapo muchadenga anonyura mumunda wegiravhiti we: 1 / R² = 1/1.5² = 1 / 2.25. Saka kana daro remuchadenga kubva pakati penyika = 1.5 saka muchadenga ane simba regiravhiti re = (g)(1 / 2.25) = g / 2.25

4. Chii tchiyero chesimba regiravhiti repasi nokuti zvinhu zviviri, chimwe at pamusoro penyika uye imwe pa kukwirira kwe ½ R kubva pamusoro penyika (R = nharaunda yenyika)?

Zvinozivikanwa:

Kureba kwechinhu A kubva pakati penyika (r)_A) = R = 1

Iyo drubatsiro rwe ari chinhu B kubva ari center of ari nyika (r)_B) = 0.5R + R = 1.5R = 1.5

Kuda: Tchiyero chesimba regiravhiti repasi

Solution:

Tsimba regiravhiti repasi rinoonekwa nechinhu A (g)_A):

Tsimba regiravhiti repasi rinoonekwa nechinhu A (g)_B):

Tchiyero chesimba regiravhiti repasid zvakasangana nechinhu A uye chinhu B:

1. Chii chinonzi simba regiravhiti?
   • Pindura: Munda wegiravhiti unomiririra nzvimbo yakatenderedza simbi uko chero imwe simbi inosangana nesimba nekuda kwesimba rinokwevera pasi. Inzira yekutsanangura kuti zvinhu zvinopesvedzerana sei kuburikidza nekukwevera pasi pasina kusangana zvakananga.
2. Simba resimba rinokwevera zvinhu pasi rinochinja sei paunofambira mberi kubva pane rinorigadzira?
   • Pindura: Simba remunda wegiravhiti rinoderera nechikamu chedaro kubva pahuremu hwenzvimbo. Zvikuru, rinotevedzera mutemo we inverse-square: kana ukawedzera daro kaviri, simba remunda rinova chikamu chimwe muzvina chesimba rayo rekutanga.
3. Simba regiravhiti rine hukama sei nesimba regiravhiti?
   • Pindura: Simba regiravhiti panzvimbo imwe chete muchadenga, rinomiririrwa ne $g$, inotsanangurwa sesimba rinokwevera pasi (F) payuniti yega yega (m) rinoonekwa nehukuru hudiki hwebvunzo hwakaiswa panzvimbo iyoyo. Pamasvomhu, $g=F/m$.
4. Simba regiravhiti rePasi rinosiyana sei zvichienderana nekureba?
   • Pindura: Sezvo kukwirira kuchiwedzera (sezvaunofamba kure nepakati peNyika), simba regiravhiti rinoderera. Ndosaka vatyairi vendege vari mudenga vachiona microgravity, kunyangwe vachiri pasi pesimba regiravhiti reNyika.
5. Zvinorevei kutaura kuti minda yesimba rinokwevera zvinhu pasi "minda inochengetedza zvinhu"?
   • Pindura: Munda wekuchengetedza zvinoreva kuti basa rinoitwa pachinhu chinofamba pakati penzvimbo mbiri mumunda harina chekuita nenzira yakatorwa. Kune minda yegiravhiti, izvi zvinoreva kuti basa rinoitwa nesimba regiravhiti pachinhu chinofamba pakati penzvimbo mbiri rakafanana zvisinei nekuti rinotora nzira ipi.
6. Minda yesimba rinokwevera zvinhu ine masimbi akawanda inosanganiswa sei?
   • Pindura: Minda inokwevera kubva muhuwandu hwakawanda inomira kana kusanganiswa nevector. Chero panguva ipi zvayo, munda unokwevera unobuda ndiwo huwandu hwevector yeminda inokwevera inogadzirwa nehuremu hwega hwega.
7. Huremu hwechinhu hunokanganisa sei simba regiravhiti rachinogadzira?
   • Pindura: Simba regiravhiti rinogadzirwa nechinhu rinoenderana nehuremu hwacho. Chinhu chakakura zvikuru chinoburitsa simba regiravhiti rakasimba.
8. Simba remumunda wegiravhiti rinoyerwa sei?
   • Pindura: Simba remumunda wegiravhiti rinoyerwa zvichienderana nesimba pahuremu hweyuniti. Muhurongwa hweSI unit, rinoyerwa mu $N/kg$ (MaNewton pakirogiramu).
9. Minda yegiravhiti inogona kushanda here? Kana zvakadaro, sei?
   • Pindura: Ehe, minda yegiravhiti inogona kushanda. Kana chinhu chichifamba chakanangana nemunda wegiravhiti (seapuro rinowira pasi), munda wegiravhiti unoshanda pachinhu chacho, uye simba rekukwevera rechinhu chacho rinoderera.
10. Chii chiri hukama huripo pakati pesimba regiravhiti nesimba regiravhiti?

• Pindura: Simba regiravhiti (gravitational potential energy) isimba rine chinhu nekuda kwenzvimbo yacho mumunda wegiravhiti. Kuchinja kwesimba regiravhiti rechinhu kune chekuita nebasa rinoitwa nesimba regiravhiti sezvo chinhu chichifamba. Simba regiravhiti rinogona kubva pa gradient (kana kuti spatial derivative) yesimba regiravhiti.