A baseball (1 kg)has an energy of 100 joules.If its uncertainty in position is 1 m,what is the percentage uncertainty ($\Delta$p/p * 100)in the momentum of the baseball?
A)

Question

A baseball (1 kg)has an energy of 100 joules.If its uncertainty in position is 1 m,what is the percentage uncertainty ($\Delta$p/p * 100)in the momentum of the baseball?
A)<<1%
B)1%
C)2%
D)5%
E)10%

Quizplus · Accepted Answer

The uncertainty principle states that Δx * Δp ≥ ħ/2. Given Δx = 1 m, we can find Δp. The momentum p can be found using the energy E = p^2/(2m). Solving for Δp/p gives a very small percentage, much less than 1%.

A Baseball (1 Kg)has an Energy of 100 Joules Δ\DeltaΔ P/p * 100)in the Momentum of the Baseball? A)<<1% B)1

A Baseball (1 Kg)has an Energy of 100 Joules $\Delta$ P/p * 100)in the Momentum of the Baseball?
A)<<1%
B)1