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Professional ApplicationAntiballistic missiles (ABMS) are designed to have very large accelerations so that they may intercept fast-moving incoming missiles in the short time available. What is the takeoff acceleration of a $10,000-\mathrm{kg}$ ABM that expels 196 $\mathrm{kg}$ of gas per second at an exhaust velocity of $2.50 \times 10^{3} \mathrm{m} / \mathrm{s} ?$

$a = 39.2 \mathrm { m } \mathrm { s } ^ { - 2 }$

Physics 101 Mechanics

Chapter 8

Linear Momentum and Collisions

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

University of Washington

University of Sheffield

McMaster University

Lectures

04:30

In classical mechanics, im…

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Professional Application

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using force equals mass times acceleration and fourth being because the p over desert d we find that I m a It was that is velocity Delta M in this case derived by go daddy. So the acceleration comes out to be V over em Delta am over dead d with our city ease no, 2.5 times 10 to the three meter per second divided by Massey stand 1000 kilogram must bad by the exhaust rate 1 96 You program for a second So this comes out to be 49 meter for a second now the required acceleration we just picked gravity will be 49 meters per second squared minus gravity 9.8 made it about a second sled The quiz 39 going to later for a second square.

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