Một ô tô chuyển động thẳng đều có phương trình chuyển động: x=10+20.t (x tính bằng km, t tính bằng giờ) 1. Xác định vận tốc của ô tô. Đổi vận tốc này ra m/s. 2. Tính quãng đường ô tô đi được trong 2 giờ. 3. Ở thời điểm nào ô tô có tọa độ 80km. 4. Vẽ đồ thị chuyển động của ô tô.
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a) Chọn chiều dương là chiều chuyển động.
Ta có: 64,8km/h = 18m/s; 54km/h = 15m/s.
Vận tốc của ô tô: v = s t = 6000 600 = 10 m/s.
b) Từ công thức v 2 − v 0 2 = 2 a s .
gia tốc của xe: a = v 2 − v 0 2 2 s = 18 2 − 10 2 2.1120 = 0 , 1 m/s2.
c) Phương trình chuyển động có dạng: x = v 0 t + 1 2 a t 2 .
Thay số ta được: x = 10 t + 0 , 05 t 2 .
Từ công thức tính vận tốc
v = v 0 + a t ⇒ t = v − v 0 a = 15 − 10 0 , 1 s.
Tọa độ khi đó: x = 10.50. + 0 , 05.50 2 = 625 m.
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a) Chọn chiều dương là chiều chuyển động.
Ta có: 64,8km/h = 18m/s; 54km/h = 15m/s.
Vận tốc của ô tô: v = s t = 6000 600 = 10 m/s.
b) Từ công thức v 2 − v 0 2 = 2 a s .
gia tốc của xe: a = v 2 − v 0 2 2 s = 18 2 − 10 2 2.1120 = 0 , 1 m/s2.
c) Phương trình chuyển động có dạng: x = v 0 t + 1 2 a t 2 .
Thay số ta được: x = 10 t + 0 , 05 t 2 .
Từ công thức tính vận tốc
v = v 0 + a t ⇒ t = v − v 0 a = 15 − 10 0 , 1 = 50
Tọa độ khi đó: x = 10.50. + 0 , 05.50 2 = 625 m.
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a. Vận tốc trung bình của ô tô trong suốt thời gian chuyển động:
b. Lực kéo làm ô tô chuyển động đều theo phương nằm ngang.
F k = F c = 0,1P = 0,1.10.m = 2500 (N)
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a. Khi ô tô chuyển động đều, áp dụng định luật II Newton ta có
P → + N → + F k → + F m s → = 0
Chiếu lên trục nằm ngang và trục thẳng đứng ta có:
Fk – Fms = 0 Fk = Fms và
− P + N = 0 ⇒ N = P = m g ⇒ F k = F m s = μ N = μ m g ⇒ μ = F k m g
M à ℘ = F . v ⇒ F k = ℘ v = 20000 10 = 2000 ( N ) ⇒ μ = 2000 4000.10 = 0 , 05
b. Gia tốc chuyển động của ô tô:
a = v t 2 − v 0 2 2 s = 15 2 − 10 2 2.250 = 0 , 25 ( m / s 2 )
Áp dụng định luật II Newton ta có: P → + N → + F k → + F m s → = m a → (5)
Chiếu (5) lên trục nằm ngang và trục thẳng đứng ta tìm được
F k − F m s = m a ; N = P = m g ⇒ F k = m a + μ m g = 4000.0 , 25 + 0 , 05.4000.10 = 3000 ( N )
Công suất tức thời của động cơ ô tô ở cuối quãng đường là:
℘ = Fkvt = 3000.15 = 45000W.
Ta có: v = v 0 + a t ⇒ t = v − v 0 a = 15 − 10 0 , 25 = 20 ( s )
Vận tốc trung bình của ô tô trên quãng đường đó
v ¯ = s t = 250 20 = 12 , 5 ( m / s ) .
Công suất trung bình của động cơ ô tô trên quãng đường đó là:
℘ ¯ = F k . v ¯ = 375000 ( W )
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a) Vận tốc của vật: \(v=\dfrac{S}{t}=50\)km/h=\(\dfrac{125}{9}\)m/s
b)quãng đường oto đi được sa 20': S=\(\dfrac{125}{9}\cdot20\cdot60=\dfrac{50000}{3}\)
\(\approx1666,7m\)
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Giải: Ta có phương trình quãng đường: s = 20 t + 0 , 2 t 2
Quãng đường vật đi được t 1 = 2 s : S 1 = 20.2 + 0 , 2.2 2 = 40 , 8 m
Quãng đường vật đi được t 2 = 5 s : S 2 = 20.5 + 0 , 2.5 2 = 105 m
Quãng đường vật đi được từ thời điểm t 1 = 2 s đến thời điểm t 2 = 5 s : Δ S = S 2 − S 1 = 105 − 40 , 8 = 64 , 2 m
Vận tốc trung bình v = Δ x Δ t = x 2 − x 1 t 2 − t 1
Tọa độ vật đi được t 1 = 2 s : x 1 = 10 + 20.2 + 0 , 2.2 2 = 50 , 8 m
Tọa độ vật đi được t 2 = 5 s : x 2 = 10 + 20.5 + 0 , 2.5 2 = 115 m
Vận tốc trung bình v = x 2 − x 1 t 2 − t 1 = 115 − 50 , 8 5 − 2 = 21 , 4 ( m / s )
b.Vận tốc của vật lúc t = 3s. v = v 0 + a t = 5 + 0 , 4.3 = 6 , 2 m / s
1\(\Rightarrow v=20km/h=\dfrac{50}{9}m/s\)
2.\(\Rightarrow S=vt=20.2=40km\)
3.\(\Rightarrow80=10+20t=>t=3,5h\)
4.![](data:image/png;base64,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)