In outer space---free of gravity. A rocket is programmed toincrease thrust from

Question

In outer space---free of gravity. A rocket is programmed toincrease thrust from zero to 1.00 x 10^4 N with a linear increaseover the course of 18.0 km. Then the thrust decreases linearly back to zero over the next18.0 km. Assuming the rocket the rocket was stationary to start. A) during which segment will more work (magnitude) bedone 1)the first 60 seconds 2)the 2nd 60 seconds 3)the work done is the same in both segments. explain your reasoning Determine quantitatively how much work is done in eachsegment. In outer space---free of gravity. A rocket is programmed toincrease thrust from zero to 1.00 x 10^4 N with a linear increaseover the course of 18.0 km. Then the thrust decreases linearly back to zero over the next18.0 km. Assuming the rocket the rocket was stationary to start. A) during which segment will more work (magnitude) bedone 1)the first 60 seconds 2)the 2nd 60 seconds 3)the work done is the same in both segments. explain your reasoning Determine quantitatively how much work is done in eachsegment.

Explanation / Answer

since the rocket is moving in gravity free space work done on the rocket = KEi - KEf KEi and KEf are intial and final kinetic enrgys time to travell 18k with an accelration of 'a = F / m'           t =(2S/a) kinetic energy at the end of time t= 60Sec          V =at and       KE = mV^2 /2 m= mass of the rocket. work done W = KE intial velocity of the rocket at the beginning ofsecond phase          V =at t = time to travell 18Km distance since the rocket is in force free envirom ment work doneto W depends only on the initial and final velocitys , So the work done to rise the velocity from rest to Vwill be same whn the rocket was brought from a velocity V,and  finally to rest. Work done in each segment            W = KEi - KEf difference of intial and final kinetic energys .

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