(14%) Problem 2: A 4.95-105-kg rocket is accelerating straight up. Its engines p

Question

(14%) Problem 2: A 4.95-105-kg rocket is accelerating straight up. Its engines produce 1.4·107 N of thrust, and air resistance is 4.75 106 N Randomized Variables m-495.105-kg f= 1.4.10' N What is the rocket's acceleration, using a coordinate system where up is positive? Grade Summary Deductions Potential a = 18.681 3% 97% sin() cos0 cotan asin coso atan) acotan) sinhO coshO tanhO cotanhO 78 9HOME Submissions Attempts remaining: % per attempt) detailed view 1% 1% 1% 0 END Degrees Radians BACKSPACE DEL CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 3 Feedback: deduction per feedback. --

Explanation / Answer

Given,

mass of rocket is m = 4.95 x 105 kg

thrust on the rocket, Ft = 1.4 x 107 N

air resistance, Fr = 4.75 x 106 N

net force onthe rocket, Ft - Fr - mg = ma = 1.4 x 107N - 4.75 x 106 N - 4.95 x 105 kg x 9.8m/s2 = 4.95 x 105 kg x a

               Then the accelaration, a = ( 4.39 x 106) / 4.95 x 105 kg = 8.89 m/s2   

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