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62.04 10
7.044 10 1 1.96 cos( )
C
1 1.96 cos ( 14.76)
2
Escape velocity 2 /V k r
11 3 2
6.67 10 m /(kg)(sec)
G
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
114
7
4.21 10
3 3 4
4 4
(6963) (0.8) 1.4933 10 kg
3 3
m v r
2 2 2
(0.8) 2.01 mS r
43
1.4933 10 7429 km/m
(1)(2.01)
D
m
C S
1
0
g / 9.8 /(287)(29/88) 0.000118 mZ RT
3
kg
sin (7429)(0.000118) sin 30
m
D
mZ
C S
0
1 1 0.4383
( / )= 8710 m
0.000118 1.225
h n n
Z
2 2 2
max
sin (8000) (0.000118)(sin 30 ) 694.6 m/sec
2 2
E
dV V Z
dt e e
max
694.6 70.88
9.8
dV gs
dt
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
115
0.247 0.247(8000) 1978 m/sec
E
V V
8.7 Aerodynamic heating varies as 3
.
VHence:
67.62 km/sec
6
6.4 10 mR
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
max
6 6
1 .00132 1.0026
1 0.99868
e
re
2
h r
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
62.04 10
7.044 10 1 1.96 cos( )
C
1 1.96 cos ( 14.76)
2
Escape velocity 2 /V k r
11 3 2
6.67 10 m /(kg)(sec)
G
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
114
7
4.21 10
3 3 4
4 4
(6963) (0.8) 1.4933 10 kg
3 3
m v r
2 2 2
(0.8) 2.01 mS r
43
1.4933 10 7429 km/m
(1)(2.01)
D
m
C S
1
0
g / 9.8 /(287)(29/88) 0.000118 mZ RT
3
kg
sin (7429)(0.000118) sin 30
m
D
mZ
C S
0
1 1 0.4383
( / )= 8710 m
0.000118 1.225
h n n
Z
2 2 2
max
sin (8000) (0.000118)(sin 30 ) 694.6 m/sec
2 2
E
dV V Z
dt e e
max
694.6 70.88
9.8
dV gs
dt
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
115
0.247 0.247(8000) 1978 m/sec
E
V V
8.7 Aerodynamic heating varies as 3
.
VHence:
67.62 km/sec
6
6.4 10 mR
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
max
6 6
1 .00132 1.0026
1 0.99868
e
re
2
h r
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
