1) A 12,000 kg spacecraft is in deep space when it receives instructions to meet
ID: 1790537 • Letter: 1
Question
1) A 12,000 kg spacecraft is in deep space when it receives instructions to meet another spacecraft near a small asteroid. To reach its target in time it must initially accelerate at 0.75 m/s A) If it can expel ions from its thrusters at 500,000 m/s at what rate must it consume its fuel to achieve this initial acceleration? How long does it take to consume 2000. kg of fuel at this rate? Wha is tho ocalaration a hot o B) G2 A block of mass 10.0 kg sits at rest on a horizontal surface with coefficients of static and kinetic friction respectively of 0.5 and 0.8. it is attached by a massless string and a frictionless massless pulley to a bucket into which sand is pouring. A) At what mass will the bucket and sand start the block sliding? A) What is the acceleration of the bucket when it starts to move?Explanation / Answer
Thrust = Ma = R Vrel
M= mass, a=acceleration, R =fuel consumption rate, Vrel =relative speed at which the exhaust gases are expelled
12,000 (0.75) = 5,00,000 R
R =0.018 kg/second
b) time= 2000/ 0.018 kg/s = 111111.11 seconds= 30.864 hours apprx
c) let teh tension in the rope= T
T - 0.8 (10x 9.8)= 0
T = 122.5 N
mass of bucket and sand= 122.5/9.8=12.5 kg
d) 10 (a)= T - 0.5 (10x 9.8)
12.5 (a) = 12.5 (9.8) - T
adding both equations,
22.5 a =9.8 (12.5- 5)
a= 3.27 m/s^2 apprx
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