The force on an object varies with position. The object beginsat rest from the o

Question

The force on an object varies with position. The object beginsat rest from the origin and has a speed of 5.0 m/s at x=4m. What isthe mass of the object? At x=4 m, the force is 40 N At x=5 m, the force is 35 N At x=2m, the force is 50 N At x=1m, the force is 25 N At x=3 m, the force is 45 N At x=6 m, the force is 30 N The answer is 11kg. I just don't know how they got it. The force on an object varies with position. The object beginsat rest from the origin and has a speed of 5.0 m/s at x=4m. What isthe mass of the object? At x=4 m, the force is 40 N At x=5 m, the force is 35 N At x=2m, the force is 50 N At x=1m, the force is 25 N At x=3 m, the force is 45 N At x=6 m, the force is 30 N The answer is 11kg. I just don't know how they got it.

Explanation / Answer

speed of the object v = 5.0 m/s At x = 4 m   v2 -v02 = 2a x                 = (5.0 m/s )2 - (0 m/s )2 = 2a ( 4 m)                 a = 3.1 m/s2           F = 40 N , a = 3.1 m/s2           m = F / a               = 12.9 kg At x =5m     v2 -v02 = 2a x                  (5.0 m/s )2 - (0 m/s )2 = 2a ( 5m)                  = 2.5 m/s2           F = 35 N , a = 2.5 m/s2              m = F / a                  = 14 kg At x = 2 m   v2 -v02 = 2a x                      =    (5.0 m/s )2 - (0 m/s)2 = 2a ( 2m )                 a = 6.25 m/s2           F = 50 N , a = 6.25 m/s2                 m = F /a                      = 8 kg              m = F / a                  = 14 kg At x = 2 m   v2 -v02 = 2a x                      =    (5.0 m/s )2 - (0 m/s)2 = 2a ( 2m )                 a = 6.25 m/s2           F = 50 N , a = 6.25 m/s2                 m = F /a                      = 8 kg

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