In the 25-ft Space Simulator facility at NASA's Jet Propulsion Laboratory, a bank of overhead arc lamps can produce light of intensity 2500W/m2 at the floor of the facility. (This simulates the intensity of sunlight near the planet Venus.) A) Find the average radiation pressure (in pascals) on a totally absorbing section of the floor. B) Find the average radiation pressure (in atmospheres) on a totally absorbing section of the floor. C) Find the average radiation pressure (in pascals) on a totally reflecting section of the floor. D) Find the average radiation pressure (in atmospheres) on a totally reflecting section of the floor.

Question

Delaney Schmidt

Physics

20 August, 23:27

In the 25-ft Space Simulator facility at NASA's Jet Propulsion Laboratory, a bank of overhead arc lamps can produce light of intensity 2500W/m2 at the floor of the facility. (This simulates the intensity of sunlight near the planet Venus.) A) Find the average radiation pressure (in pascals) on a totally absorbing section of the floor. B) Find the average radiation pressure (in atmospheres) on a totally absorbing section of the floor. C) Find the average radiation pressure (in pascals) on a totally reflecting section of the floor. D) Find the average radiation pressure (in atmospheres) on a totally reflecting section of the floor.

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Answers (1)

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Seamus Daniels · Answer 1

a. 8.33 x 10 ⁻⁶ Pa

b. 8.19 x 10 ⁻¹¹ atm

c. 1.65 x 10 ⁻¹⁰ atm

d. 2.778 x 10 ⁻¹⁴ kg / m²

Explanation:

Given:

a.

I = 2500 W / m², us = 3.0 x 10 ⁸ m / s

P rad = I / us

P rad = 2500 W / m² / 3.0 x 10 ⁸ m/s

P rad = 8.33 x 10 ⁻⁶ Pa

b.

P rad = 8.33 x 10 ⁻⁶ Pa * [ 9.8 x 10 ⁻⁶ atm / 1 Pa ]

P rad = 8.19 x 10 ⁻¹¹ atm

c.

P rad = 2 * I / us = (2 * 2500 w / m²) / [ 3.0 x 10 ⁸ m / s ]

P rad = 1.67 x 10 ⁻⁵ Pa

P₁ = 1.013 x 10 ⁵ Pa / atm

P rad = 1.67 x 10 ⁻⁵ Pa / 1.013 x 10 ⁵ Pa / atm = 1.65 x 10 ⁻¹⁰ atm

d.

P rad = I / us

ΔP / Δt = I / C² = [ 2500 w / m² ] / (3.0 x 10 ⁸ m/s) ²

ΔP / Δt = 2.778 x 10 ⁻¹⁴ kg / m²