The average speed of a nitrogen molecule in air is about 6.70 x 102 m/s, and its

Question

The average speed of a nitrogen molecule in air is about 6.70 x 102 m/s, and its mass is about 4.68 × 10-26 kg. (a) If it takes 4.00 x 10-13 s for a nitrogen molecule to hit a wall and rebound with the same speed but moving in an opposite direction (assumed to be the negative direction), what is the average acceleration of the molecule during this time interval? 0.00000000 The response you submitted has the wrong sign. m/s2 (b) What average force does the molecule exert on the wall? Need Help? Read in Submit Answer Save Progress Practice Another Version

Explanation / Answer

When molecule is moving towards wall it has initail velocity

U=6.70*10²m/s

When it comes back,it has velocity= -U

As acceleration=change in velocity/time

Acceleration=v-u/t

Acceleration=v-(-u)/t

Acceleration=u+u/t=2u/t

Acceleration=2*6.7*10²/4*10^-13

Acceleration=3.35*10^15m/s².

Average force=mass * average acceleration

Force=4.68*10^-26*3.35*10^15

Force=15.678*10^-11 n.

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