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nguyễn quân
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nguyễn thị hương giang
5 tháng 12 2023 lúc 19:09

Ta có: Năng lượng thế tại điểm A là: \(W_{thdA}=-G\cdot\dfrac{M\cdot m}{r_A}\)

Và năng lượng thế tại điểm B là: \(W_{thdB}=-G\cdot\dfrac{M\cdot m}{r_B}\)

Hiệu của hai năng lượng thế là:

\(A_{\overrightarrow{F}}=W_{thdB}-W_{thdA}=-G\cdot\dfrac{M\cdot m}{r_B}-\left(-G\cdot\dfrac{M\cdot m}{r_A}\right)=-G\cdot Mm\cdot\left(\dfrac{1}{r_B}-\dfrac{1}{r_A}\right)\)

\(\Rightarrow-G\cdot M\cdot\left(\dfrac{1}{r_B}-\dfrac{1}{r_A}\right)=\dfrac{A_{\overrightarrow{F}}}{m}\left(1\right)\)

Mặt khác: \(\phi=\dfrac{A_{\overrightarrow{F}}}{m}\left(2\right)\)

Từ \(\left(1\right)\) và \(\left(2\right)\) ta suy ra: \(\phi=-G\cdot M\cdot\left(\dfrac{1}{r_B}-\dfrac{1}{r_A}\right)=-G\cdot\dfrac{M}{r}\)

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nguyễn quân
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hận đời vô đối
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Hoàng Anh Phương
1 tháng 4 2016 lúc 21:48

1857 nha bạn tính máy tính là ra

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Nguyễn Hồng Yến Nhi
1 tháng 4 2016 lúc 22:29

1857 nha bạnnnnnnn!

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lê thanh thủy
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Phan Thanh Tịnh
8 tháng 6 2016 lúc 10:57

\(\frac{3^4.2^3-3^4.4}{3^5.3^2-3^5.5}=\frac{3^4.\left(2^3-4\right)}{3^5.\left(3^2-5\right)}=\frac{8-4}{3.\left(9-5\right)}=\frac{4}{3.4}=\frac{1}{3}\)

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Đinh Thùy Linh
8 tháng 6 2016 lúc 10:58

\(\frac{3^4\cdot2^3-3^4\cdot4}{3^5.3^2-3^5\cdot5}=\frac{3^4\left(8-4\right)}{3^5\left(9-5\right)}=\frac{4}{3\cdot4}=\frac{1}{3}\)

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VRCT_Hoàng Nhi_BGS
8 tháng 6 2016 lúc 11:02

=1/3 k mk nha

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Tuyết Ngọc
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Ngô Chi Lan
14 tháng 8 2020 lúc 20:42

Bài làm:

\(A=\frac{3^4.2^3-3^4.4}{3^5.3^2-3^5.5}\)

\(A=\frac{2^2.3^4\left(2-1\right)}{3^5\left(3^2-5\right)}\)

\(A=\frac{4.1}{3.4}=\frac{1}{3}\)

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ミ★Ƙαї★彡
14 tháng 8 2020 lúc 20:44

Bài làm 

\(A=\frac{3^4.2^3-3^4.4}{3^5.3^2-3^5.5}=\frac{3^4\left(2^3-4\right)}{3^5\left(3^2-5\right)}\)

\(=\frac{81.2}{243.4}=\frac{81}{243.2}=\frac{81}{486}=\frac{1}{6}\)

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Ngô_Tuấn_Vũ
14 tháng 8 2020 lúc 20:44

\(A=\frac{3^4.2^3-3^4.4}{3^5.3^2-3^5.5}=\frac{3^4.\left(8-4\right)}{3^5.\left(9-5\right)}=\frac{3^4.4}{3^5.4}=3\)3

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unicalia chile
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unicalia chile
20 tháng 8 2019 lúc 10:07

làm ơn giúp mình ,bạn nào làm nhanh đúng mình chọn cho nhanh nha mọi người

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unicalia chile
20 tháng 8 2019 lúc 10:09

nhanh nha mọi người

T.T

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Rinu
20 tháng 8 2019 lúc 10:23

Bài làm

22.44.26.2.2=22.28.26.22=218

2.23.27.24=215

32.3=33=27

34.33.3=38

3.35.34.32=312

3.36.37.34=318

4.43=44

45.4.47=413

4.43.45.46=415

5.56=57

5.54=55

5.52.54=57

5.53.54.56=514

5.56.54.53=514

x.x2=x3

x.x3.x5=x9

a.a4=a5

a.a2.a4.a5.a7=a19

a.a3.a5.a6=a15

a.a4.a.a5.a6.a=a18

x.x3.x4=x8

x5.x4.x.x7.x6=x23

7.72=73

7.72.74.75=712

73.75.74.7=713

72.7.76.76.73=718

10.102=103

10.100.103=106

10.100.104.1000=1010

102.104.100.1000=1011

Tk nha !

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Trần Khởi My
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Trần Khởi My
7 tháng 8 2018 lúc 20:03

phân số thứ 2 ở trên tử số\(5^3\) thành \(5^2\) nha

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Nguyễn Lê Phước Thịnh
13 tháng 8 2022 lúc 10:26

\(\dfrac{a}{b}=\dfrac{3^4\cdot2^2\cdot\left(2-1\right)}{3^5\cdot\left(3^2-5\right)}=\dfrac{2^2}{3}\cdot\dfrac{1}{4}=\dfrac{1}{3}\)

\(\dfrac{c}{d}=\dfrac{5^3\left(7-2\right)}{5^3\left(7-4\right)}=\dfrac{5}{3}\)

Do đó: a/b<c/d

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lê thị hiền
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no never
5 tháng 9 2016 lúc 16:21

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Vĩnh Thụy
23 tháng 8 2016 lúc 19:32

a) 6,3 + (-3,7) + 2,4 + (-0,3)

= (6,3 + 2,4) + [-3,7 + (-0,3)]

= 8,7 + (-4)

=  4,7

b) (-4,9) + 5,5 + 4,9 + (-5,5)

= (-4,9 + 4,9) + [5,5 + (-5,5)]

= 0 + 0

= 0

c) 2,9 + 3,7 + (-4,2) + (-2,9) + 4,2

= [2,9 + (-2,9)] + (-4,2 + 4,2) + 3,7

= 0 + 0 + 3,7

= 3,7

d) (-6,5) . 2,8 + 2,8 . (-3,5)

= 2,8 . [-6,5 + (-3,5)]

= 2,8 . (-10)

= -28.

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