Please help me with my homework!!!! How to solve this problem? #38 An air-rifle

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Please help me with my homework!!!! How to solve this problem?
#38 An air-rifle pellet has a mass of 20g and avelocity of 100m/s. if Its velocity is known to anaccuracy of +- 0.1 percent , what is the minimumpossible uncertainty in the pellet's position?
Answer is2.64x10-32m Please help me with my homework!!!! How to solve this problem?
#38 An air-rifle pellet has a mass of 20g and avelocity of 100m/s. if Its velocity is known to anaccuracy of +- 0.1 percent , what is the minimumpossible uncertainty in the pellet's position?
Answer is2.64x10-32m

Explanation / Answer

mass m = 20 g = 0.02 kg velocity v = 100 m / s uncertanity in velocity dv = 0.1 % of v = (0.1 / 100 ) v= 0.001 * 100 = 0.1 we know from Uncertanity equation dx * m dv = h /2 from this uncertanity in position dx = ( h/ 4 ) /m dv                                                     = ( 6.625 * 10 ^ -34 / 4 ) / ( 0.02 * 0.1 )                                                      = 263.6 * 10 ^ -34 m                                                       =2.636 * 10 ^ -32 m

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