(a)

r_max (m)

R (m)

r₁ (m)

H (m)

ρ (kg/m³)

m₁ (kg)

质量和(kg)

S₁ (m²)

F₂ (N)

v₂ (m/s)

7.405E+20

7.405E+16

7.405E+16

1.701E+16

1.262E−03

2.057E+50

2.057E+50

7.916E+33

2.871E+21

1.034E+04

n

1.481E+17

1.481E+17

3.399E+16

1.262E−03

6.171E+50

8.228E+50

3.163E+34

2.868E+21

1.461E+04

10000

2.222E+17

2.222E+17

5.094E+16

1.262E−03

1.029E+51

1.851E+51

7.111E+34

2.866E+21

1.789E+04

Δr (m)

2.962E+17

2.962E+17

6.787E+16

1.262E−03

1.440E+51

3.291E+51

1.263E+35

2.863E+21

2.065E+04

7.40544E+16

3.703E+17

3.703E+17

8.476E+16

1.262E−03

1.851E+51

5.143E+51

1.972E+35

2.861E+21

2.308E+04

m₀ (kg)

4.443E+17

4.443E+17

1.016E+17

1.262E−03

2.263E+51

7.406E+51

2.837E+35

2.858E+21

2.527E+04

1.6748E−27

5.184E+17

5.184E+17

1.184E+17

1.262E−03

2.674E+51

1.008E+52

3.858E+35

2.855E+21

2.728E+04

r₀ (m)

5.924E+17

5.924E+17

1.352E+17

1.262E−03

3.086E+51

1.317E+52

5.034E+35

2.853E+21

2.915E+04

8E−16

6.665E+17

6.665E+17

1.520E+17

1.262E−03

3.497E+51

1.666E+52

6.366E+35

2.850E+21

3.091E+04

ρ_max (kg/m³)

7.405E+17

7.405E+17

1.688E+17

1.262E−03

3.909E+51

2.057E+52

7.852E+35

2.848E+21

3.256E+04

7.809E+17

8.146E+17

8.146E+17

1.855E+17

1.262E−03

4.320E+51

2.489E+52

9.492E+35

2.845E+21

3.414E+04

σ (m)

8.887E+17

8.887E+17

2.021E+17

1.262E−03

4.731E+51

2.962E+52

1.129E+36

2.843E+21

3.564E+04

2.468E+20

9.627E+17

9.627E+17

2.188E+17

1.262E−03

5.143E+51

3.477E+52

1.323E+36

2.840E+21

3.708E+04

m₂ (kg)

1.037E+18

1.037E+18

2.354E+17

1.262E−03

5.554E+51

4.032E+52

1.533E+36

2.838E+21

3.846E+04

1.989E+30

1.111E+18

1.111E+18

2.520E+17

1.262E−03

5.966E+51

4.628E+52

1.759E+36

2.835E+21

3.979E+04

r₂ (m)

1.185E+18

1.185E+18

2.686E+17

1.262E−03

6.377E+51

5.266E+52

1.999E+36

2.833E+21

4.108E+04

6.955E+08

1.259E+18

1.259E+18

2.851E+17

1.262E−03

6.788E+51

5.945E+52

2.255E+36

2.830E+21

4.232E+04

ρ₂ (kg/m³)

1.333E+18

1.333E+18

3.016E+17

1.262E−03

7.200E+51

6.665E+52

2.526E+36

2.827E+21

4.353E+04

1408

1.407E+18

1.407E+18

3.181E+17

1.262E−03

7.611E+51

7.426E+52

2.812E+36

2.825E+21

4.470E+04

G_D

1.481E+18

1.481E+18

3.345E+17

1.262E−03

8.023E+51

8.228E+52

3.113E+36

2.822E+21

4.584E+04

1.000E−09

1.555E+18

1.555E+18

3.509E+17

1.262E−03

8.434E+51

9.072E+52

3.429E+36

2.820E+21

4.696E+04

H_max (m)

1.629E+18

1.629E+18

3.673E+17

1.262E−03

8.845E+51

9.956E+52

3.760E+36

2.817E+21

4.804E+04

9.4607E+18

1.703E+18

1.703E+18

3.836E+17

1.262E−03

9.257E+51

1.088E+53

4.106E+36

2.815E+21

4.910E+04

总质量 (kg)

1.777E+18

1.777E+18

4.000E+17

1.262E−03

9.668E+51

1.185E+53

4.466E+36

2.812E+21

5.013E+04

4.56586E+57

1.851E+18

1.851E+18

4.163E+17

1.262E−03

1.008E+52

1.286E+53

4.842E+36

2.810E+21

5.114E+04

盘高拐点(m)

1.925E+18

1.925E+18

4.325E+17

1.262E−03

1.049E+52

1.391E+53

5.232E+36

2.807E+21

5.213E+04

1.23424E+20

1.999E+18

1.999E+18

4.488E+17

1.262E−03

1.090E+52

1.500E+53

5.638E+36

2.805E+21

5.310E+04

e

2.074E+18

2.074E+18

4.650E+17

1.262E−03

1.131E+52

1.613E+53

6.058E+36

2.802E+21

5.405E+04

2.718

2.148E+18

2.148E+18

4.811E+17

1.262E−03

1.173E+52

1.730E+53

6.492E+36

2.800E+21

5.498E+04

2.222E+18

2.222E+18

4.973E+17

1.262E−03

1.214E+52

1.851E+53

6.941E+36

2.797E+21

5.590E+04

2.296E+18

2.296E+18

5.134E+17

1.262E−03

1.255E+52

1.977E+53

7.405E+36

2.795E+21

5.680E+04

2.370E+18

2.370E+18

5.295E+17

1.262E−03

1.296E+52

2.106E+53

7.884E+36

2.792E+21

5.768E+04

2.444E+18

2.444E+18

5.455E+17

1.262E−03

1.337E+52

2.240E+53

8.377E+36

2.790E+21

5.855E+04

2.518E+18

2.518E+18

5.616E+17

1.262E−03

1.378E+52

2.378E+53

8.884E+36

2.787E+21

5.940E+04

2.592E+18

2.592E+18

5.776E+17

1.262E−03

1.419E+52

2.520E+53

9.406E+36

2.785E+21

6.024E+04

2.666E+18

2.666E+18

5.936E+17

1.262E−03

1.460E+52

2.666E+53

9.942E+36

2.782E+21

6.107E+04

2.740E+18

2.740E+18

6.095E+17

1.262E−03

1.502E+52

2.816E+53

1.049E+37

2.780E+21

6.188E+04

2.814E+18

2.814E+18

6.254E+17

1.262E−03

1.543E+52

2.970E+53

1.106E+37

2.777E+21

6.269E+04

2.888E+18

2.888E+18

6.413E+17

1.262E−03

1.584E+52

3.129E+53

1.164E+37

2.775E+21

6.348E+04

2.962E+18

2.962E+18

6.572E+17

1.262E−03

1.625E+52

3.291E+53

1.223E+37

2.773E+21

6.426E+04

3.036E+18

3.036E+18

6.730E+17

1.262E−03

1.666E+52

3.458E+53

1.284E+37

2.770E+21

6.503E+04

3.110E+18

3.110E+18

6.888E+17

1.262E−03

1.707E+52

3.629E+53

1.346E+37

2.768E+21

6.579E+04

3.184E+18

3.184E+18

7.046E+17

1.262E−03

1.748E+52

3.803E+53

1.410E+37

2.765E+21

6.654E+04

3.258E+18

3.258E+18

7.203E+17

1.262E−03

1.790E+52

3.982E+53

1.475E+37

2.763E+21

6.727E+04

(b)

F₁ (N)

v₁ (m/s)

v₂+v₁ (m/s)

R₃ (m)

m₃ (kg)

r₃ (m)

F₃ (N)

F₁ − F₃ (N)

v₃ (m/s)

v₃ + v₂ (m/s)

2.126E+38

2.767E+02

1.062E+04

3.258E+20

1.365E+49

4.259E+14

6.788E+10

2.871E+21

1.034E+04

1.062E+04

4.248E+38

2.765E+02

1.489E+04

3.258E+20

6.825E+48

2.130E+14

6.786E+10

2.868E+21

1.461E+04

1.489E+04

6.367E+38

2.764E+02

1.817E+04

3.258E+20

4.550E+48

1.421E+14

6.784E+10

2.866E+21

1.789E+04

1.817E+04

8.481E+38

2.763E+02

2.093E+04

3.257E+20

3.412E+48

1.066E+14

6.782E+10

2.863E+21

2.065E+04

2.093E+04

1.059E+39

2.762E+02

2.335E+04

3.257E+20

2.730E+48

8.533E+13

6.780E+10

2.861E+21

2.308E+04

2.335E+04

1.270E+39

2.760E+02

2.554E+04

3.257E+20

2.275E+48

7.114E+13

6.778E+10

2.858E+21

2.527E+04

2.554E+04

1.480E+39

2.759E+02

2.756E+04

3.257E+20

1.950E+48

6.101E+13

6.776E+10

2.855E+21

2.728E+04

2.756E+04

1.690E+39

2.758E+02

2.943E+04

3.256E+20

1.706E+48

5.340E+13

6.774E+10

2.853E+21

2.915E+04

2.943E+04

1.900E+39

2.757E+02

3.118E+04

3.256E+20

1.517E+48

4.749E+13

6.772E+10

2.850E+21

3.091E+04

3.118E+04

2.109E+39

2.755E+02

3.284E+04

3.256E+20

1.365E+48

4.276E+13

6.769E+10

2.848E+21

3.256E+04

3.284E+04

2.318E+39

2.754E+02

3.441E+04

3.256E+20

1.241E+48

3.889E+13

6.767E+10

2.845E+21

3.414E+04

3.441E+04

2.526E+39

2.753E+02

3.591E+04

3.255E+20

1.137E+48

3.567E+13

6.765E+10

2.843E+21

3.564E+04

3.591E+04

2.734E+39

2.752E+02

3.735E+04

3.255E+20

1.050E+48

3.294E+13

6.763E+10

2.840E+21

3.708E+04

3.735E+04

2.942E+39

2.750E+02

3.873E+04

3.255E+20

9.750E+47

3.060E+13

6.761E+10

2.838E+21

3.846E+04

3.873E+04

3.149E+39

2.749E+02

4.007E+04

3.255E+20

9.100E+47

2.857E+13

6.759E+10

2.835E+21

3.979E+04

4.007E+04

3.356E+39

2.748E+02

4.135E+04

3.254E+20

8.531E+47

2.680E+13

6.757E+10

2.833E+21

4.108E+04

4.135E+04

3.563E+39

2.747E+02

4.260E+04

3.254E+20

8.029E+47

2.523E+13

6.755E+10

2.830E+21

4.232E+04

4.260E+04

3.769E+39

2.746E+02

4.381E+04

3.254E+20

7.583E+47

2.384E+13

6.753E+10

2.827E+21

4.353E+04

4.381E+04

3.975E+39

2.744E+02

4.498E+04

3.254E+20

7.184E+47

2.260E+13

6.751E+10

2.825E+21

4.470E+04

4.498E+04

4.180E+39

2.743E+02

4.612E+04

3.254E+20

6.825E+47

2.148E+13

6.749E+10

2.822E+21

4.584E+04

4.612E+04

4.385E+39

2.742E+02

4.723E+04

3.253E+20

6.500E+47

2.046E+13

6.747E+10

2.820E+21

4.696E+04

4.723E+04

4.590E+39

2.741E+02

4.831E+04

3.253E+20

6.204E+47

1.954E+13

6.745E+10

2.817E+21

4.804E+04

4.831E+04

4.794E+39

2.739E+02

4.937E+04

3.253E+20

5.934E+47

1.870E+13

6.743E+10

2.815E+21

4.910E+04

4.937E+04

4.998E+39

2.738E+02

5.040E+04

3.253E+20

5.687E+47

1.793E+13

6.741E+10

2.812E+21

5.013E+04

5.040E+04

5.202E+39

2.737E+02

5.141E+04

3.252E+20

5.460E+47

1.722E+13

6.739E+10

2.810E+21

5.114E+04

5.141E+04

5.405E+39

2.736E+02

5.240E+04

3.252E+20

5.250E+47

1.656E+13

6.737E+10

2.807E+21

5.213E+04

5.240E+04

5.608E+39

2.734E+02

5.337E+04

3.252E+20

5.055E+47

1.596E+13

6.735E+10

2.805E+21

5.310E+04

5.337E+04

5.811E+39

2.733E+02

5.432E+04

3.252E+20

4.875E+47

1.540E+13

6.733E+10

2.802E+21

5.405E+04

5.432E+04

6.013E+39

2.732E+02

5.526E+04

3.251E+20

4.707E+47

1.487E+13

6.731E+10

2.800E+21

5.498E+04

5.526E+04

6.215E+39

2.731E+02

5.617E+04

3.251E+20

4.550E+47

1.438E+13

6.729E+10

2.797E+21

5.590E+04

5.617E+04

6.416E+39

2.730E+02

5.707E+04

3.251E+20

4.403E+47

1.392E+13

6.727E+10

2.795E+21

5.680E+04

5.707E+04

6.617E+39

2.728E+02

5.795E+04

3.251E+20

4.265E+47

1.349E+13

6.725E+10

2.792E+21

5.768E+04

5.795E+04

6.818E+39

2.727E+02

5.882E+04

3.250E+20

4.136E+47

1.309E+13

6.723E+10

2.790E+21

5.855E+04

5.882E+04

7.018E+39

2.726E+02

5.967E+04

3.250E+20

4.014E+47

1.271E+13

6.721E+10

2.787E+21

5.940E+04

5.967E+04

7.218E+39

2.725E+02

6.051E+04

3.250E+20

3.900E+47

1.235E+13

6.719E+10

2.785E+21

6.024E+04

6.051E+04

7.418E+39

2.724E+02

6.134E+04

3.250E+20

3.791E+47

1.202E+13

6.717E+10

2.782E+21

6.107E+04

6.134E+04

7.617E+39

2.722E+02

6.216E+04

3.249E+20

3.689E+47

1.170E+13

6.715E+10

2.780E+21

6.188E+04

6.216E+04

7.816E+39

2.721E+02

6.296E+04

3.249E+20

3.592E+47

1.139E+13

6.713E+10

2.777E+21

6.269E+04

6.296E+04

8.015E+39

2.720E+02

6.375E+04

3.249E+20

3.500E+47

1.111E+13

6.711E+10

2.775E+21

6.348E+04

6.375E+04

8.213E+39

2.719E+02

6.453E+04

3.249E+20

3.412E+47

1.083E+13

6.709E+10

2.773E+21

6.426E+04

6.453E+04

8.411E+39

2.718E+02

6.530E+04

3.248E+20

3.329E+47

1.057E+13

6.707E+10

2.770E+21

6.503E+04

6.530E+04

8.608E+39

2.716E+02

6.606E+04

3.248E+20

3.250E+47

1.033E+13

6.705E+10

2.768E+21

6.579E+04

6.606E+04

8.805E+39

2.715E+02

6.681E+04

3.248E+20

3.174E+47

1.009E+13

6.703E+10

2.765E+21

6.654E+04

6.681E+04

9.002E+39

2.714E+02

6.755E+04

3.248E+20

3.102E+47

9.867E+12

6.701E+10

2.763E+21

6.727E+04

6.755E+04