A vertical piston–cylinder device contains a gas at a pressure of 100 kPa. The piston has a mass of 5 kg and a diameter of 12 cm

Response:

To find power, we must first determine the work done by the force.

1) We will use the following equation to calculate work:

The force is provided by the problem; our goal is to express 'dx' in terms of 't'

2) It's known that:

Thus, we have:

Then:

3) Finally, substituting all known values gives us:

After some calculations, the resulting work is:

161.9638 J.

4) To find power, we will use the following equation:

Thus

P = 161.9638/4.7 = 34.46 W

To address this issue, we apply the de Broglie equation written as:

λ = h/mv
where h equals 6.626×10⁻³⁴ J·s

Solving for m, we substitute for v, which is 46.9 m/s:
9.74 × 10⁻³⁵ m = 6.626×10⁻³⁴ J·s / (m)(46.9 m/s)
Thus, we find that m = 0.145kg