Txheeb xyuas qhov ceev kawg ntawm kev txav mus los ntawm projectile

1. Ib lub pob ncaws pob uas raug ncaws tawm hauv av ntawm lub kaum sab xis θ = 30 ^o mus rau kab rov tav nrog qhov ceev pib ntawm 14 m/s. Xam qhov ceev kawg ua ntej lub pob ntaus hauv av.

Paub:

Lub kaum sab xis ( θ ) = 3 0 ^o

Qhov ceev pib ( _v₂o ) = 14 m/s

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

Xav tau: Qhov ceev kawg ua ntej lub pob ntaus hauv av

Tshuaj:

Kab rov tav ntawm qhov ceev pib:

v _ox = v _o cos θ = (14 m/s)(cos 30 ^o ) = (14 m/s)(0.5 √ 3 ) = 7 √ 3 m/s

Feem ntsug ntawm qhov ceev pib:

v _oy = v _o sin θ = (14 m/s)(sin 30 ^o ) = (14 m/s)(0.5) = 7 m/s

Qhov ceev kawg ntawm 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 ( _v₂o ) = 7 m/s (mus rau sab saud)

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

Qhov siab (h) = 0 (khoom rov qab mus rau qhov chaw pib)

Xav tau: Qhov ceev kawg (v _t )

Tshuaj:

v _t ² = v _o ² + 2 g = 7 ² + 2(-10)(0) = 49 – 0 = 49

v _t = √49 = 7 m/s

Qhov ceev kawg ntawm kab rov tav

Qhov ceev pib hauv kev taw qhia kab rov tav yog 7 √ 3 m/s. Qhov ceev yog tas li yog li qhov ceev kawg yog tib yam li qhov ceev pib.

Qhov ceev kawg ua ntej lub khoom ntaus hauv av

2. Ib lub cev raug tso rau saum ntuj ntawm lub kaum sab xis 30 ^° nrog rau kab rov tav ntawm lub tsev siab 5 meters. Nws qhov ceev pib yog 10 m/s. Xam qhov ceev kawg ua ntej lub khoom ntaus hauv av! 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 ) = 5 meters

Qhov ceev pib ( _v₂o ) = 10 m/s

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

Xav tau: Qhov ceev kawg

Tshuaj:

Kab rov tav ntawm qhov ceev pib:

v _ox = v _o cos θ = (10 m/s)(cos 30 ^o ) = (10 m/s)(0.5 √ 3 ) = 5 √ 3 m/s

Feem ntsug ntawm qhov ceev pib:

v _oy = v _o sin θ = (10 m/s)(sin 30 ^o ) = (10 m/s)(0.5) = 5 m/s

Qhov ceev kawg ntawm kev taw qhia ntsug

Paub:

Qhov ceev pib ( _v₂o ) = 5 m/s (mus rau sab saud)

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

Qhov siab (h) = -5 m ( tsis zoo vim tias hauv av qis dua qhov siab pib)

Xav tau: Qhov ceev kawg (v _t )

Tshuaj:

v _t ² = v _o ² + 2 g = 5 ² + 2(-10)(-5) = 25 + 100 = 125

v _t = √125 m/s

Qhov ceev kawg ntawm kab rov tav

Qhov ceev kawg ntawm kab rov tav yog 5 √3 m/s.

Qhov ceev kawg

3. Ib lub pob me me raug tso rau ntawm ib lub tsev siab 12 meters nrog qhov ceev pib v _{o = 8 m/s. Xam qhov ceev kawg ua ntej lub pob ntaus hauv av} ! Qhov kev nrawm ntawm lub ntiajteb txawj nqus yog 10 m/s ²

Paub:

Qhov siab (h) = 12 meters

Qhov ceev pib ( _v₂o ) = 8 m/s

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

Xav tau: Qhov ceev kawg (v _t )

Tshuaj:

Kab rov tav ntawm qhov ceev pib:

v _ox = v _o = 8 m/s

Feem ntsug ntawm qhov ceev pib:

v _oy = 0 m/s

Qhov ceev kawg ntawm kev taw qhia ntsug

xam siv qhov sib npaug ntawm kev txav mus los dawb.

Paub:

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

Qhov siab (h) = 12 m

Xav tau: Qhov ceev kawg (v _t )

Tshuaj:

v _t ² = 2 gh = 2(10)(12) = 240

v _t = √240 m/s

Qhov ceev kawg ntawm kab rov tav

Qhov ceev pib hauv kab rov tav yog 8 m/s. Qhov ceev yog tas li kom qhov ceev pib sib npaug rau qhov ceev kawg. Yog li qhov ceev kawg ntawm kab rov tav yog 8 m/s.

Qhov ceev kawg

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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