anonymous
  • anonymous
Please help! :) A spacecraft which weighed 1,500.0 pounds on earth is traveling in deep space at a constant velocity of 100,000.0 ft/sec. Ground control wants to initiate a rocket burn that will accelerate the spacecraft 500.0 ft/sec^2. What is the mass in slugs of the spacecraft? What is the force of that rocket burn?
Physics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
A slug is equal to 32.174 pound mass (a pound mass weighs 1 pound on earth) so a 1500 lb. weight on earth would be 1500/32.174 =46.62 slugs. Newtons Second Law; force=mass*acceleration. Since we are given the acceleration in ft/sec^2 and the mass is given in slugs the unit of force will be pounds. In this case the force is 46.62slugs*500ft/sec^2=23310.7 pounds of thrust. The spacecrafts current velocity is extraneous information.

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