Simba rinogona kuwanikwa muchitubu chinopfava - matambudziko nemhinduro

1. Huremu hwe2-kg hwakabatanidzwa nechitubu. Kana kureba kwechitubu kuri 4 cm, tsvaga simba rinogona kuwanikwa nechitubu chinonamira . Kukurumidza kunokonzerwa nekukweva kwesimba remagetsi i10 m/s 2.

Zvinozivikanwa:

Huremu (m) = 2 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2

Huremu (w) = mg = (2)(10) = 20 N

Kureba (x) = 4 cm = 0.04 m

Zvinodiwa: Simba rinogona kuwanikwa muchitubu chinonamira

Solution:

Fomura yemutemo waHooke :

F = kx

F = simba, k = chitubu chisingachinji, x = kuchinja kwehurefu hwechitubu

Chirimo chinogara kwenguva refu:

k = w / x = 20 / 0.04 = 500 N/m

Simba rinogona kuwanikwa muchitubu chinopfava:

PE = ½ kx 2 = ½ (500) (0.04) 2 = (250) (0.0016) = 0.4 Joules

Imwe mhinduro:

PE = ½ kx 2 = ½ (w / x) x 2 = ½ wx = ½ mgx

w = huremu, m ​​= huremu, x = kuchinja kwehurefu hwechitubu

PE = ½ (2) (10) (0.04) = (10) (0.04) = 0.4 Joules.

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2. Kureba kwechitubu kwakatambanudzwa nesimba F = 50 N i10 cm. Ndeipi simba rinogona kushandiswa nechitubu chinopfava kana kureba kwechitubu kuri 12 cm.

Zvinozivikanwa:

Kureba (x) = 10 cm = 0.1 m

Simba (F) = 50 N

Zvinodiwa : Simba rinogona kuwanikwa muchitubu chinonamira

Solution:

Chirimo chinogara kwenguva refu:

k = F / x = 50 / 0.1 = 500 N/m

Simba rinogona kuwanikwa muchitubu chinonamira kana kureba kwechitubu kuri 12 cm. :

PE = ½ kx 2 = ½ (500) (0.12) 2 = (250) (0.0144) = 3.6 Joules.

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3. Girafu yeF vs x inoratidzwa mumufananidzo uri pazasi. Ndeipi simba rinogona kushandiswa nechitubu chinopfava, kana kureba kwechitubu kuri 10 cm.

Simba rinogona kuwanikwa muchitubu chinopfava - matambudziko nemhinduro 1

Zvinozivikanwa:

Simba (F) = 5 N

Kureba kwechitubu (x) = 2 cm = 0.02 m

Zvinodiwa: Simba rinogona kuwanikwa muchitubu chinopfava kana kureba kwechitubu kuri 0.1 m.

Solution:

Chirimo chinogara kwenguva refu:

k = F / x = 5 / 0.02 = 250 N/m

Simba rinogona kuwanikwa muchitubu chinopfava kana kureba kwechitubu kuri 0.1 m:

PE = ½ kx 2 = ½ (250) (0.1) 2 = (125) (0.01) = 1.25 Joules.

4. Mutambi anosvetukira pachiridzwa chechirimo chine huremu hwe500 N, chitubu chinopfupika ne4 cm. Sarudza huwandu hwesimba rinogona kumanikidza mutambi.

A. 20 Joule

B. 10 Joule

C. 5 Joule

D. 2 Joule

Zvinozivikanwa:

Simba (F) = 500 N

Kuchinja kwehurefu hwechitubu (Δx) = 4 cm = 0.04 m

Zvinodiwa: Simba rinogona kuwanikwa muchirimo

Solution:

Verenga chisipiti che elastic constant uchishandisa equation yemutemo waHooke:

k = F / Δx = 500 N / 0.04 m = 12500 N/m

Simba rinoita kuti chitubu chive chakasimba:

PE = ½ k Δx 2 = ½ (12500) (0.04) 2 = (6250) (0.0016)

PE = 10 Joule

Mhinduro chaiyo ndeiyi B.

5. Chitubu kana chakarembera chine huremu hwemagiramu mazana mashanu, kureba kwacho kunowedzera ne5 cm. Sarudza simba rayo risingaperi uye rinokwanisa kushanda.

Zvinozivikanwa:

Huremu hwechinhu (m) = 500 magiramu = (500/1000) kg = 5/10 kg = 0.5 kg

Kukurumidza (g) = 10 m/s 2

Kurema kwechinhu (w) = mg = (0.5 kg)(10 m/s 2 ) = 5 kg m/s 2 = 5 Newtons

Kuchinja kwehurefu hwechitubu (Δx) = 5 cm = 0.05 m

Zvinodiwa: simba rechirimo (k) uye simba rinogona kushandiswa (PE)

Solution:

Kutanga, verenga chiverengero chechirimo uchishandisa equation yemutemo waHooke:

k = w / Δx = 5 N / 0.05 m = 100 N/m

Kugona kunamira kwechirimo:

PE = ½ k Δx 2 = ½ (100) (0.05) 2 = (50) (0.0025)

PE = 0.125 Joule

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