Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Energy from the Sun arrives at the top of the Earth\\\'s atmosphere with an inte

ID: 251129 • Letter: E

Question

Energy from the Sun arrives at the top of the Earth's atmosphere with an intensity of 1.36 kW / m2. How long does it take for 3.55 × 109 J to arrive on an area of 4.75 m2?_____s

The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather average star in the distant Garbanzo Galaxy. A scouting party sets out to explore. The party's leader–a physicist, naturally–immediately makes a determination of the acceleration due to gravity on the Pink Planet's surface by means of a simple pendulum of length 1.23 m. She sets the pendulum swinging, and her collaborators carefully count 101 complete cycles of oscillation during 206 s. What is the result?______m/s2

Explanation / Answer

Here ,

intensity , I = 1.36 kW/m^2

energy , E = 3.55 *10^9 J

area , A = 4.75 m^2

let the time taken is t

energy = intensity * area * time

3.55 * 10^9 = 4.75 * 1.36 *10^3 * t

solving for t

t = 5.495 *10^5 s

the time taken is 5.495 *10^5 s

---------------------

length of pendulum , L = 1.23 m

let the acceleration due to gravity is g

time period = total time/number of cycles

206/101 = 2*pi*sqrt(L/g)

206/101 = 2 * pi * sqrt(1.23/g)

solving for g

g = 11.7 m/s^2

the acceleration due to gravity is 11.7 m/s^2