The maximum velocity of a rocket with a mass of 495 kg, initially traveling at 85.0 m/s, is calculated using the impulse of 15000 Ns applied over 30 seconds. The correct formula is derived from the impulse-momentum theorem, leading to the equation v2 = (Impulse + Initial Momentum) / Mass. The correct maximum velocity is 994 m/s, but the initial misunderstanding arose from confusing impulse with force. Impulse is measured in Newton-seconds, not Newtons.
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The impulse is given as 15000 Newton-seconds. you have incorrectly used this value as a force of 15000 Newtons.tani said:Homework Statement
Far in space, where gravity is negligible, a 495 kg rocket traveling at 85.0 m/s fires its engines. The impulse imparted to the rocket is 15000Ns, for 30 seconds. What is the maximum velocity of the rocket?
Homework Equations
F(delta t)=mv2-mv1
The Attempt at a Solution
v2=((15000*30)+(495*85))/495
v2=994m/s
Why isn't this answer correct?