A rocket of mass 2.5 x 10°kg, launched with speed 300 requires a force of 1.5 x 10*N to give it a velocity 500". Using Newton's second law, model this problem and solve the differential equation of the model to find a. How far the rocket has travelled after 10 seconds? b. How much work is done by the rocket after 20 seconds? (work = force x distance) c. How much power is consumed by the rocket after 20 seconds? (power = work/time)

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Chapter10: Work, Energy And Machines
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Solve using Ordinary differential equation.
A rocket of mass 2.5 × 10°kg, launched with speed 300 requires a force of 1.5 x 10ʻN to give it
a velocity 500". Using Newton's second law, model this problem and solve the differential equation
of the model to find
a. How far the rocket has travelled after 10 seconds?
b. How much work is done by the rocket after 20 seconds? (work = force x distance)
c. How much power is consumed by the rocket after 20 seconds? (power = work/time)
d. The change in the kinetic energy of the rocket after 40 seconds?
Transcribed Image Text:A rocket of mass 2.5 × 10°kg, launched with speed 300 requires a force of 1.5 x 10ʻN to give it a velocity 500". Using Newton's second law, model this problem and solve the differential equation of the model to find a. How far the rocket has travelled after 10 seconds? b. How much work is done by the rocket after 20 seconds? (work = force x distance) c. How much power is consumed by the rocket after 20 seconds? (power = work/time) d. The change in the kinetic energy of the rocket after 40 seconds?
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