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## pathosdebater 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? one year ago one year ago

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1. Aylin

$1 slug=1\frac{ pound \times second ^{2} }{ ft }$ Thus if you know the acceleration due to gravity on Earth (g) you can solve for the mass:$m=\frac{ 1500 }{ g }$ Then, knowing the mass, you can calculate the force required. We know that $\frac{ d }{ dt }v(t)=0$ so there is no acceleration. Remember that $\Delta F= m \times \Delta a$ if there is no change in mass. Thus since you know that the change in acceleration is 500, just solve for the force. Don't forget your units!

2. pathosdebater

Thank you.

3. Aylin

You're welcome.