An unstable high-energy particle is created in the laboratory, and it moves at a speed of 0.994c. relative to a stationary reference frame fixed to the laboratory, the particle travels a distance of 1.45 × 10^-3 m before disintegrating. what is (a)the proper distance and (b) the distance measured by a hypothetical person traveling with the particle? determine the particle's (c) proper lifetime and (d) its dilated lifetime.

Explanation:

Given that,

Speed = 0.994c

Distance

(a). We need to calculate the proper distance

The proper distance is same as measured by the observer at ground.

The proper distance is

(b). We need to calculate the distance measured by a hypothetical person traveling with the particle

Using formula of distance

Put the value into the formula

The distance measured by a hypothetical person traveling with the particle is .

(c). We need to calculate the proper lifetime

Using formula of time

The proper lifetime is

(d). We need to calculate the dilated lifetime

Using formula of dilated time

The dilated lifetime is .

Hence, This is the required solution.

i'm thinking more like energy

since you're a real machine, your ama is always less than your ima, because you can never totally eliminate friction.