SOLUTION: The net force on a 2-kg body is 6 N. If the body is originally travelling with a velocity of 8 m/s, and if the force applied is opposite to the velocity, find the distance it will

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Question 1182718: The net force on a 2-kg body is 6 N. If the body is originally travelling with a velocity of 8 m/s, and if the force applied is opposite to the velocity, find the distance it will move before coming to rest.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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The net force on a 2-kg body is 6 N. If the body is originally travelling with a velocity of 8 m/s,
and if the force applied is opposite to the velocity, find the distance it will move before coming to rest.
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            We solve the problem and make calculations step by step. 


(1)  First we find the deceleration  "a"  by dividing the force by the mass (the second Newton's law)


         a = F%2Fm = 6_N%2F2_kg = 3 m/s^2.



(2)  Next we find the time to get the zero speed from the basic kinematic equation

         v = a*t,


where v is the initial velocity of 8 m/s (given) and "a" is the deceleration  a = 3 m/s^2, found above in step (1)


         t = v%2Fa = 8%2F3 = 2.66666... seconds.



(3)   Finally, we find the distance


          d = %28a%2At%5E2%29%2F2 = %283%2A%288%2F3%29%5E2%29%2F2 = 64%2F%282%2A3%29 = 32%2F3 = 10 2%2F3  meters.      ANSWER

Solved.