p04 043

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43. We apply Eq. 4-33 to solve for speed v and Eq. 4-32 to find acceleration a.

(a) Since the radius of Earth is 6.37

×10

6

m, the radius of the satellite orbit is 6.37

×10

6

m+640

×10

3

m

= 7.01

× 10

6

m. Therefore, the speed of the satellite is

v =

2πr

T

=

2π(7.01

× 10

6

m)

(98.0 min)(60 s/min)

= 7.49

× 10

3

m/s .

(b) The magnitude of the acceleration is

a =

v

2

r

=

(7.49

× 10

3

m/s)

2

7.01

× 10

6

m

= 8.00 m/s

2

.


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