1. He pōro A, 200-karamu te taumaha, e neke ana i te tere o te 10 m/s, e pā ana ki tētahi pōro B, 200-karamu te taumaha, e takoto kau ana. He aha te tere o te pōro A me te pōro B i muri i te tukinga?
Mōhiotia:
Taumaha o te pōro A (m A ) = 200 karamu = 0.2 kg
Taumaha o te pōro B (m B ) = 200 karamu = 0.2 kg
Te tere o te pōro A i mua i te tukinga (v A ) = 10 m/s
Te tere o te pōro B i mua i te tukinga (v B ) = 0
E hiahiatia ana: te tere o te pōro A (v A ') me te tere o te pōro B (v B ') i muri i te tukinga
Rongoā:
v A ' = v B = 0
v B ' = v A = 10 m/s
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2. E rua ngā mea e ōrite ana te taumaha e whakatata ana tetahi ki tetahi, ka tukinga, kātahi ka peke atu. Ko te tere o te taumaha A i mua i te tukinga he 8 m/s, ā, ko te tere o te taumaha B i mua i te tukinga he 12 m/s. He aha te rahi me te ahunga o te tere o te taumaha A me te taumaha B i muri i te tukinga!
Mōhiotia:
Papatipu A (m A ) = m
Papatipu B (m B ) = m
Tere o te papatipu A i mua i te tukinga (v A ) = -8 m/s
Te tere o te papatipu B i mua i te tukinga (v B ) = 12 m/s
Ko ngā tohu tāpiri me ngā tohu tango e tohu ana kei te neke ngā mea i te taha ke.
E hiahiatia ana: te rahi me te ahunga o te tere o te papatipu A (v A ') me te papatipu B (v B ') i muri i te tukinga
Rongoā:
I roto i tētahi tukinga tino rapa, mēnā he ōrite te papatipu o ngā mea, ko te tere o A i muri i te tukinga (v A ') = te tere o B i mua i te tukinga (v B ) me te tere o B i muri i te tukinga (v B ') = te tere o A i mua i te tukinga (v A ).
Mena i mua i te tukinga, ka neke a A ki matau, ā, ka neke a B ki maui, kātahi, i muri i te tukinga, ka neke a A ki maui, ā, ka neke a B ki matau.
He ōrite te taumaha o ngā mea e rua, ā, he tino pīngore te tukinga, nō reira i whakawhitiwhiti tere ai ngā mea e rua.
v A ' = -v B = -12 m/s
v B ' = v A = 8 m/s
Ko ngā tohu tāpiri me ngā tohu tango e tohu ana kei te neke ngā mea i te taha ke.
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3. He mea A, 2-kg te taumaha, e neke ana i te tere o te 10 m/s, ka pā ki tētahi pōro B, 4-kg te taumaha, e neke ana i te tere o te 20 m/s. Mēnā he tino pīngore te tukinga, he aha te tere o te mea A me te mea B i muri i te tukinga?
Mōhiotia:
Taumaha A (m A ) = 2 kg
Taumaha B (m B ) = 4 kg
Te tere o te mea A i mua i te tukinga (v A ) = 10 m/s
Te tere o te mea B i mua i te tukinga (v B ) = 20 m/s
E hiahiatia ana : te tere o te mea A (v A ') me te tere o te mea B (v B ') i muri i te tukinga
Otinga :
I roto i te tukinga tino rapa , mēnā he ōrite te taumaha o ngā mea, ā, ka whakatata tetahi ki tetahi, ka tatauhia te tere o te mea i muri i te tukinga mā te whakamahi i tēnei tātai:
Te tere o te mea A i muri i te tukinga:
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4. Ka pā te tukinga 100-karamu e neke ana i te 20 m/s ki te pakitara, he tino ngāwari te tūtukitanga. He aha te rahi me te ahunga o te tere o te mea i muri i te tukinga?
Mōhiotia:
Taumaha (mA ) = 100 karamu = 0.1 kg
Papatipu o te pakitara (m B ) = mutunga kore
Ko te tere o te papatipu i mua i te tukinga (v A ) = 20 m/s
Ko te tere o te papatipu i muri i te tukinga (v B ) = 0
E hiahiatia ana : te rahi me te ahunga o te tere i muri i te tukinga
Rongoā:
Mena he 0 a v B , he iti rawa a m A , he nui rawa hoki a m 2 , ko v A ' = -v A, ā , ko v 2 ' = 0.
Ko ngā tohu tāpiri me ngā tohu tango e tohu ana kei te neke ngā mea i te taha ke.
5. E rua ngā pōro, ko A he 2-kg te taumaha , me te pōro B he 5-kg te taumaha, i mua me muri i te tukinga, e whakaaturia ana i te pikitia i raro nei. Mena he tino ngāwari te tukinga, he aha te tere o te pōro A i mua i te tukinga?
Mōhiotia:
Te taumaha o te pōro A (mA) = 2 kirokaramu
Taumaha o te pōro B (m B ) = 5 kg
Te tere o te pōro B i mua i te tukinga (v B ) = 2 m/s
Te tere o te pōro A i muri i te tukinga (v A ') = 5 m/s
Te tere o te pōro B i muri i te tukinga (v B ') = 4 m/s
Kei te neke ngā pōro e rua ki te taha matau, nō reira ko te tere kua hainatia he pai.
E hiahiatia ana: Te tere o te pōro A i mua i te tukinga (v A )
Rongoā:
mA vA +mB vB = mA vA' + mB vB'
2(v A ) + (5)(2) = (2)(5) + (5)(4)
2(v A ) + 10 = 10 + 20
2(v A ) + 10 = 30
2(v A ) = 30 – 10
2(v A ) = 20
v A = 20/2
v A = 10 m/s
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6. Ka haere ngā mea A me B i te papa whakapae, e whakaaturia ana i te pikitia i raro nei. Mēnā he tino ngāwari te tukinga, ā, ko te tere o te mea B i muri i te tukinga he 15 m/s1 , he aha te tere o te mea A i muri i te tukinga?
Mōhiotia:
Papatipu o te mea A (mA) = 5 kirokaramu
Taumaha o te mea B (m B ) = 2 kg
Te tere o te mea A i mua i te tukinga (v A ) = 12 m/s
Te tere o te mea B i mua i te tukinga (v B ) = 10 m/s
Te tere o te mea B i muri i te tukinga (v B ') = 15 m/s
Ka neke ngā mea e rua ki te taha matau, i mua me i muri i te tukinga, nō reira he pai te tere.
E hiahiatia ana: Te tere o te mea A i muri i te tukinga (v A ')
Rongoā:
mA vA +mB vB = mA vA' + mB vB'
(5)(12) + (2)(10) = (5)v A ' + (2)(15)
60 + 20 = (5)v A ' + 30
80 = (5)v A ' + 30
80 – 30 = (5)v A '
50 = (5)v A '
v A ' = 50/5
v A ' = 10 m/s
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