4.7 Other applications of NLOM Begin Date: 11/2/2017 12:01:00 AM- -Due Date: 11/

Question

4.7 Other applications of NLOM Begin Date: 11/2/2017 12:01:00 AM- -Due Date: 11/15/2017 11:59:00 PM End Date: 11/15/2017 11:5 (20%) Problem 3: A large rocket has a mass of2/5x 106 kg at takeoff, and its engines produce a thrust of 3.5 × 107 N 50% Part (a) Find its initial acceleration, in meters per second squared, if it takes off vertically. Take up to be positive. Grade Sum Deductions Potential ted ted sin) cotanO atanO tano acoso acotansinho coso asino Attempts re (20% per att detailed vie 4 56 coshO tanh cotanho ODegrees O Radians Submit Hint I give up! Hints: 5%-deduction per hint. Hints remaining Feedback: 5% deduction per feedback. 50% Part (b) How ong, in seconds, does it take to reach a velocity of 120 km/h straight up, assuming constant mass and thrust? All content © 2017 Expert TA, LLC

Explanation / Answer

a) a = F / m = T - m g / m

a = (3.5 * 107) - (2.15 * 106 * 9.8) / (2.15 * 106)

acceleration = 6.48 m/s2

b) t = v / a

= 120 * (1/3600) * (1000 / 1 km) / 6.48

time = 5.14 s

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