A 5.00 * 10^ 5 kg rocket is accelerating straightup. Its engines produce 1.50 *

Question

A 5.00 * 10^5 kg rocket is accelerating straightup. Its engines produce 1.50 * 10^7 N of thrust, and airresistance is 4.50 * 10^6 N. What is the rocket'sacceleration? The answer is suppose to be 11.2 m/s2. Please checkmy work and tell me where I'm not getting this answer. Thankyou. F=ma (1.50 *10^7 N) - (4.50 * 10^6 N) =(5.0 * 10^5 kg)a (1.05 * 10^7 N)/(5.0 * 10^5 kg) =(5.0 * 10^5 kg)a/(5.0 * 10^5 kg) 21 m/s2 = a A 5.00 * 10^5 kg rocket is accelerating straightup. Its engines produce 1.50 * 10^7 N of thrust, and airresistance is 4.50 * 10^6 N. What is the rocket'sacceleration? The answer is suppose to be 11.2 m/s2. Please checkmy work and tell me where I'm not getting this answer. Thankyou. F=ma (1.50 *10^7 N) - (4.50 * 10^6 N) =(5.0 * 10^5 kg)a (1.05 * 10^7 N)/(5.0 * 10^5 kg) =(5.0 * 10^5 kg)a/(5.0 * 10^5 kg) 21 m/s2 = a

Explanation / Answer

          Given that the mass of rocket is m = 5.00*105kg           The thrust on the rocket is Ft = 1.50*107 N           The air resistance is Fr = 4.50*106 N      -------------------------------------------------------------         The net force onthe rocket is                                                                                  Ft - Fr - mg = ma                             1.50*107N - 4.50*106 N -5.00*105 kg*9.8m/s2 =5.0*105 kg*a                Then the accelaration is a = ( 1.50*107 N -4.50*106 N -5.00*105 kg*9.8m/s2 ) / 5.0*105 kg                                                       = 11.2 m/s2                                                                                        

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