Lub zog gravitational - teeb meem thiab kev daws teeb meem

1. Ib lub cev hnyav 1-kg poob dawb los ntawm qhov chaw so, ntawm qhov siab 10 m.

Txheeb xyuas:

(a) Ua haujlwm los ntawm lub zog ntawm lub ntiajteb txawj nqus

(b) Kev hloov pauv ntawm lub zog gravitational

Kev nrawm vim lub ntiajteb txawj nqus (g) = 10 m/s ²

Paub:

Qhov hnyav (m) = 1 kg

Qhov siab (h) = 10 m

Kev nrawm vim lub ntiajteb txawj nqus (g) = 10 m/s ²

Qhov hnyav (w) = mg = (1 kg) (10 m/s ² ) = 10 N

Tshuaj:

(a) Ua haujlwm los ntawm lub zog ntawm lub ntiajteb txawj nqus

W = wh = mgh

W = (1)(10)(10) = 100 Joule

(b) Kev hloov pauv ntawm lub zog gravitational

Qhov kev hloov pauv ntawm lub zog muaj peev xwm ntawm lub ntiajteb txawj nqus yog sib npaug rau txoj haujlwm ua los ntawm lub ntiajteb txawj nqus.

Δ EP = 100 Joule

[irp]

2. Ib yam khoom 10 N swb rau ntawm lub dav hlau du thiab nkhaus mus txog 2 meters. Txheeb xyuas txoj haujlwm ua tiav los ntawm lub zog hnyav!

Paub:

qhov hnyav (w) = 10 N

w _x = w sin θ = (10)(sin 30 ^o ) = (10)(0.5) = 5 N

d = 2 m

Kev nrawm vim lub ntiajteb txawj nqus (g) = 10 m/s ²

Xav tau: ua haujlwm los ntawm lub zog hnyav

Tshuaj:

W = F d = w _x d = (5)(2) = 10 Joules

Lwm txoj kev daws teeb meem:

Sin 30 ^o = h / d

0.5 = h / 2

h = (0.5)(2)

siab = 1 m

Ua haujlwm los ntawm lub zog hnyav;

W = F d = wh = (10 N)(1 m) = 10 N m = 10 Joules

[irp]

3. Ib yam khoom hnyav 1,500 gram nyob rau ntawm 20 meters saum av , poob dawb rau hauv av. Lub zog gravitational ntawm yam khoom yog dab tsi? Kev nrawm vim gravity yog 10 m/s ².

Paub:

Kev nrawm vim lub ntiajteb txawj nqus (g) = 10 m/s ²

Qhov hnyav (m) = 1500 grams = 1500/1000 kilograms = 1.5 kilograms

Qhov siab (h) = 20 meters

Xav tau: Lub zog gravitational potential

Tshuaj:

PE = mgh = (1.5 kg)(10 m/s2 ⁾ (20 m) = 300 kg m2 ^/ s2 ⁼ 300 Joules

4. Raws li daim duab hauv qab no, yog tias qhov hnyav ntawm yam khoom 1 yog 2 kg thiab qhov hnyav ntawm yam khoom 2 yog 4 kg, kev sib piv ntawm lub zog muaj peev xwm ntawm yam khoom 1 thiab yam khoom 2 yog …..

Paub:

Qhov hnyav ntawm yam khoom 1 (m₁) = 2 kg

Qhov hnyav ntawm yam khoom 2 (m2 ₎ = 4 kilograms

Qhov siab 1 (h ₁ ) = 12 meters

Qhov siab 2 (h ₂ ) = 9 meters

Xav tau: Kev sib piv ntawm lub zog muaj peev xwm ntawm yam khoom 1 thiab yam khoom 2

Tshuaj:

PE = mg/h

m = pawg (nws chav thoob ntiaj teb yog kilogram, luv kg)

g = kev nrawm vim yog lub ntiajteb txawj nqus (nws chav thoob ntiaj teb yog meters ib ob squared, luv m/s ² )

h = qhov siab (nws chav ntsuas thoob ntiaj teb yog 'meter', luv luv m)

PE = lub zog muaj peev xwm ntawm lub ntiajteb txawj nqus (nws chav thoob ntiaj teb yog kg m2 ^/ s2 ^lossis Joule)

Lub zog gravitational ntawm yam khoom 1:

EP ₁ = m ₁ g ₁ = (2)(g)(12) = 24 g

Lub zog gravitational ntawm yam khoom 2:

EP ₂ = m ₂ g ₂ = (4)(g)(9) = 36 g

Kev sib piv ntawm lub zog muaj peev xwm ntawm yam khoom 1 thiab yam khoom 2:

PE ₁ : PE ₂

24 g: 36 g

24: 36

24/12 : 36/12

2: 3

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