A space probe is far away from the Sun, or any other sources of energy. It is kept warm (so the electronics work) by waste heat from a radioactive source. The radioactive source emits energy at a rate of 625W. The space probe can be modelled as a uniform sphere of metal. The radius is 1.3m, and the metal has a high thermal conductivity, so the probe is at a uniform temperature. The coefficient of linear expansion for this metal is 2.3 × 10-5 K-¹. 8. Suppose that the probe emits as a blackbody (with e = 1). What is the equilibrium temperature of the space probe? (a) 30K (b) 90K (c) ***150K (d) 240K (e) 320K 9. Suppose that the space probe is currently at temperature 200K, and it was launched from Earth at a temperature of 300K. By how much has the probe's volume decreased relative to the size at launch? (a) 2.1 x 10-2m³ (b) 4.2 × 10-2m³ (c) ***6.3 × 10-²m³ (d) 8.5 x 10-2m³ (e) There is not enough information to determine this.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.56P
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A space probe is far away from the Sun, or any other sources of energy.
It is kept warm (so the electronics work) by waste heat from a radioactive
source. The radioactive source emits energy at a rate of 625W. The space
probe can be modelled as a uniform sphere of metal. The radius is 1.3m,
and the metal has a high thermal conductivity, so the probe is at a uniform
temperature. The coefficient of linear expansion for this metal is 2.3 ×
10-5 K-¹.
8. Suppose that the probe emits as a blackbody (with e = 1). What is
the equilibrium temperature of the space probe?
(a) 30K
(b) 90K
(c) ***150K
(d) 240K
(e) 320K
9. Suppose that the space probe is currently at temperature 200K, and
it was launched from Earth at a temperature of 300K. By how much
has the probe's volume decreased relative to the size at launch?
(a) 2.1 x 10-2m³
(b) 4.2 × 10-²m³
(c) ***6.3 × 10-²m³
(d) 8.5 × 10-2m³
(e) There is not enough information to determine this.
Transcribed Image Text:A space probe is far away from the Sun, or any other sources of energy. It is kept warm (so the electronics work) by waste heat from a radioactive source. The radioactive source emits energy at a rate of 625W. The space probe can be modelled as a uniform sphere of metal. The radius is 1.3m, and the metal has a high thermal conductivity, so the probe is at a uniform temperature. The coefficient of linear expansion for this metal is 2.3 × 10-5 K-¹. 8. Suppose that the probe emits as a blackbody (with e = 1). What is the equilibrium temperature of the space probe? (a) 30K (b) 90K (c) ***150K (d) 240K (e) 320K 9. Suppose that the space probe is currently at temperature 200K, and it was launched from Earth at a temperature of 300K. By how much has the probe's volume decreased relative to the size at launch? (a) 2.1 x 10-2m³ (b) 4.2 × 10-²m³ (c) ***6.3 × 10-²m³ (d) 8.5 × 10-2m³ (e) There is not enough information to determine this.
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