. A 50-kg model rocket lifts off by expelling fuel downward at a rateof k = 4.75 kg/s for 10 s. The fuel leaves the end of the rocket with anexhaust velocity of b = −100 m/s. Let m(t) be the mass of the rocketat time t. From the law of conservation of momentum, we find the following differential equation for the rocket’s velocity v(t) (in meters persecond):m(t)v(t) = −9.8m(t) + bdmdt(a) Show that m(t) = 50 − 4.75t kg.(b) Solve for v(t) and compute the rocket’s velocity at rocket burnout(after 10 s)

. A 50-kg model rocket lifts off by expelling fuel downward at a rateof k = 4.75 kg/s for 10 s. The fuel leaves the end of the rocket with anexhaust velocity of b = −100 m/s. Let m(t) be the mass of the rocketat time t. From the law of conservation of momentum, we find the following differential equation for the rocket’s velocity v(t) (in meters persecond):m(t)v(t) = −9.8m(t) + bdmdt(a) Show that m(t) = 50 − 4.75t kg.(b) Solve for v(t) and compute the rocket’s velocity at rocket burnout(after 10 s)

Name: . A 50-kg model rocket lifts off by expelling fuel downward at a rateo
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Description: . A 50-kg model rocket lifts off by expelling fuel downward at a rateof k = 4.75 kg/s for 10 s. The fuel leaves the end of the rocket with anexhaust velocity of b = −100 m/s. Let m(t) be the mass of the rocketat time t. From the law of conservation o

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 34P: A ball of mass 250 g is thrown with an initial velocity of 25 m/s at an angle of 30 with the...

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A 40 kg model rocket lifts off by expelling fuel downward at a rate of k = 4.75 kg/s for 8 s. The fuel leaves the end of the rocket with an exhaust velocity of b = -100 m/s. Let m(t) be the mass of the rocket at time t. From the law of conservation of momentum, the following differential equation for the rocket's velocity v(t) (in meters per second) is obtained. dm m(t)v' (t) = -9.8m(t) + b- dt Compute the rocket's velocity at rocket burnout (after 8 s). (Use decimal notation. Give your answer to three decimal places.) m/s v(8) 2 Question Source: Rogawski 4e Calculus Early Transcendentals| Publisher: W.H. Freem étv AR hulu Search or type URL
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