Txheeb xyuas qhov chaw ntawm ib yam khoom hauv kev txav mus los ntawm projectile

Tau daws cov teeb meem hauv kev txav mus los ntawm projectile - txiav txim siab qhov chaw ntawm ib yam khoom

1. Ib lub cev raug nthuav mus rau saum ntuj ntawm lub kaum sab xis 60 ^° rau kab rov tav nrog qhov ceev pib ntawm 12 m/s. Txheeb xyuas qhov chaw ntawm lub khoom tom qab txav mus rau 1 vib nas this! Kev nrawm ntawm lub ntiajteb txawj nqus yog 10 m/s ².

Paub:

Lub kaum sab xis ( θ ) = 60 ^o

Qhov ceev pib ( _v₂o ) = 12 m/s

Lub sijhawm luv (t) = 1 vib nas this

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

Xav tau: Qhov chaw ntawm yam khoom tom qab txav mus rau 1 vib nas this

Tshuaj:

Kab rov tav ntawm qhov ceev pib:

v _ox = v _o cos θ = (12 m/s)(cos 60 ^o ) = (12 m/s)(0.5) = 6 m/s

Feem ntsug ntawm qhov ceev pib:

v _oy = v _o sin θ = (12 m/s)(sin 60 ^o ) = (12 m/s)(0.5 √ 3 ) = 6 √ 3 m/s

Qhov chaw ntawm cov khoom ntawm kab rov tav:

Paub:

Kab rov tav ntawm qhov ceev (v _x ) = 6 m/s

Lub sijhawm luv (t) = 1 vib nas this

Xav tau: kab rov tav (x)

Tshuaj:

6 meters/ob txhais tau tias lub pob txav mus deb li 6 meters txhua 1 vib nas this. Qhov deb ntawm lub pob tom qab txav mus rau 1 vib nas this yog 6 meters. Yog li qhov chaw ntawm lub pob nyob rau hauv kev taw qhia kab rov tav yog 6 meters.

Qhov chaw ntawm cov khoom ntawm qhov kev taw qhia ntsug:

Xaiv qhov kev taw qhia mus rau sab saud ua qhov zoo thiab qhov kev taw qhia mus rau sab hauv ua qhov tsis zoo.

Paub:

Qhov ceev pib (v _o ) = 6 √ 3 m/s (zoo rau sab saud)

Lub sijhawm luv (t) = 1 vib nas this

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = -10 m/s ² (tsis zoo downward)

Xav tau: qhov siab tom qab txav mus rau 1 vib nas this

Tshuaj:

h = v_o t + 1/2 gt² = (6√3)(1) + 1/2 (-10)(1²) = 6√3 + (-5)(1) = 6√3 – 5 = 6(1.7) – 5 = 10.2 – 5 = 5.2 meters.

Qhov chaw ntawm yam khoom tom qab txav mus rau 1 vib nas this:

Kev hloov kab rov tav (x) = 6 meters

Kev hloov chaw ntsug (y) = 5.2 meters

[irp]

2. Ib lub cev raug tso rau saum ntuj ntawm lub tsev siab 20 meters ntawm lub kaum sab xis 30 ^° mus rau kab rov tav. Nws qhov ceev pib yog 50 m/s. Xam qhov kev hloov chaw ntsug tom qab lub cev txav mus rau 1 vib nas this! Kev nrawm ntawm lub ntiajteb txawj nqus yog 10 m/s ².

Paub:

Lub kaum sab xis ( θ ) = 30 ^o

Qhov siab pib (h _o ) = 20 meters

Qhov ceev pib ( _v₂o ) = 50 m/s

Lub sijhawm luv (t) = 1 vib nas this

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = 1 0 m/s ²

Xav tau: Qhov siab (h)

Tshuaj:

Feem ntsug ntawm qhov ceev pib:

v _oy = v _o sin θ = (50 m/s)(sin 30 ^o ) = (50 m/s)(0.5) = 25 m/s

Qhov siab:

Xaiv qhov kev taw qhia mus rau sab saud ua qhov zoo thiab qhov kev taw qhia mus rau sab hauv ua qhov tsis zoo.

Paub:

Qhov ceev pib ( _v₂o ) = 25 m/s (mus rau sab saud)

Lub sijhawm luv (t) = 1 vib nas this

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = -1 0 m/s ² (tsis zoo downward)

Xav tau: Qhov siab (h)

Tshuaj:

h = v _o t + 1/2 gt ^{​​​​2} = (25) (1) + 1/2 (-10) (1 ² ) = 25 + (-5) (1) = 25 – 5 = 20 meters.

Qhov siab ntawm lub cev tom qab txav mus rau 1 vib nas this yog 20 meters saum toj no qhov twg lub cev raug kwv yees lossis 40 meters saum av.

[irp]

3. Muaj ib lub pob me me raug thawb mus rau kab rov tav nrog qhov ceev pib v _o = 10 m/s ntawm lub tsev siab 10 meters. Xam qhov kev hloov pauv ntawm lub pob tom qab txav mus rau 1 vib nas this ! Kev nrawm ntawm lub ntiajteb txawj nqus yog 10 m/s ²

Paub:

Qhov siab pib (h) = 10 meters

Qhov ceev pib ( _v₂o ) = 10 m/s

Lub sijhawm luv (t) = 1 vib nas this

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

Xav tau: Qhov chaw ntawm lub pob tom qab txav mus 1 vib nas this!

Tshuaj:

Kev hloov chaw kab rov tav:

Paub:

Kab rov tav ntawm qhov ceev (v _x ) = 10 m/s

Lub sijhawm luv (t) = 1 vib nas this

Xav Tau: Qhov Chaw ntawm yam khoom

Tshuaj:

10 meters/ob vib nas this txhais tau tias yam khoom txav mus txog 10 meters txhua 1 vib nas this. Kev hloov chaw tom qab txav mus rau 1 vib nas this yog 10 meters. Yog li kev hloov chaw kab rov tav yog 10 meters.

Kev hloov pauv ntsug:

Xam raws li kev txav mus los dawb.

Paub:

Lub sijhawm luv (t) = 1 vib nas this

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

Xav tau: Qhov siab tom qab txav mus rau 1 vib nas this (h)

Tshuaj:

h = 1/2 gt ^{​​​​2} = 1/2 (10)(1 ² ) = (5)(1) = 5 meters.

Tom qab 1 vib nas this, yam khoom ntawd poob mus txog 5 meters. Qhov siab saum av = 10 meters – 5 meters = 5 meters.

Qhov chaw ntawm cov khoom tom qab txav mus los 1 vib nas this:

Qhov chaw ntawm yam khoom ntawm kab rov tav (x) = 10 meters

Qhov chaw ntawm cov khoom ntawm qhov kev taw qhia ntsug (y) = 5 meters

[irp]

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1. Txheeb xyuas qhov ceev pib rau hauv cov khoom kab rov tav thiab ntsug
2. Txheeb xyuas qhov kev hloov pauv kab rov tav
3. Txheeb xyuas qhov siab tshaj plaws
4. Txheeb xyuas lub sijhawm sib nrug
5. Txheeb xyuas qhov chaw ntawm cov khoom
6. Txheeb xyuas qhov ceev kawg