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noname [10]
3 years ago
14

Antiballistic missiles (ABMs) are designed to have very large accelerations so that they may intercept fast-moving incoming miss

iles in the short time available. What is the takeoff acceleration of a 10,000-kg ABM that expels 196 kg of gas per second at an exhaust velocity of 2.50×103 m/s?
Physics
1 answer:
4vir4ik [10]3 years ago
3 0

Answer:

a = 39.2 m/s²

Explanation:

The <em>takeoff acceleration </em>of a missile or a rocket can be expressed by the equation

  • a = V₀/m * Δm/Δt - g

Where V₀ is the exhaust velocity, m is the mass of the missile, Δm is the mass of gas expelled during a timelapse Δt, and g is gravitational acceleration.

All required data is given by the problem, so now we <u>solve for a</u>:

a = 2.50x10³m/s ÷ 10,000kg * 196kg ÷ 1s - 9.8m/s²

a = 39.2 m/s²

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