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 x 10-26 kg. (a) If it takes 4.00 × 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 X The response you submitted has the wrong sign. m/s2 (b) What average force does the molecule exert on the wall? Need Help? Read it

Explanation / Answer

Given Data

The speed of the molecule is v = 6.7*102 m/s

The mass of the molen :-cule is m = 4.68*10-26 kg

Solution :-

The change in momentum = mv -( -mv) = 2mv = 6.2712*10-23 kgm/s

The time taken t = 4.0*10-13 s

According to newtons second law, the force applied is

F = 6.2712*10-23 kgm/s / 4.0*10-13 s

F = 1.567*10-10 N

The average acceleration is given by

a = F/m

a = (1.567*10-10 N) / (4.68*10-26 kg)

a = 3.35*1015 m/s2

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