Question

Imagine playing baseball in a universe (not ours!) where the Planck constant is 0.70 J·s. What would be the uncertainty in the position of a 0.55 kg baseball that is moving at 22 m/s along an axis if the uncertainty in the speed is 0.5 m/s? Number Enter your answer in accordance to the question statement Units Choose the answer from the menu in accordance to the question statement

Answer 1

The uncertainty the in position is
`\delta s = 0.4051 m`

Step-by-step explanation:

From the question we are told

The planck's constant is
`h = 0.70 \ J \cdot s`

The mass of the baseball is
`m = 0.55kg`

The velocity of the baseball
`v_b = 22 m/s`

The uncertainty in
`\delta v = 0.5 m/s`

Generally the uncertainty of momentum is

`\delta p = m \delta v`

substituting values

`\delta p = 0.275 \ kg m/s`

The uncertainty position is mathematically represented as

`\delta s = (h)/(2 \p \delta p )`

substituting values

`\delta s = (0.70)/(2 * 3.142 * 0.275 )`

`\delta s = 0.4051 m`