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t. 4. The radius of a snowball after placing it in the sun is estimated by...
4. The area S enclosed by a circle of radius a in spherical geometry (see Ex. 1) is given by the formula s-2m(1-cosa) COS where r is the radius of the sphere. Deduce from this the formula for the area of a sphere of radius r. 4. The area S enclosed by a circle of radius a in spherical geometry (see Ex. 1) is given by the formula s-2m(1-cosa) COS where r is the radius of the sphere. Deduce from...
For 0 st s 6, a screen saver on a computer screen shows two circles that start as dots and expand outward. The radius of the first circle is modeled by the function r(t) = 8 + 16ez', where r(t) is measured in centimeters and tis measured in seconds. How fast is the radius changing after 2 seconds?
u(λ,T)=4E(λ,T)/c 2. Use the energy density expression above and the Stefan-Boltzmann expression, u(T) 014 with σ= 7.56x 10.15 erg/cmK4, to obtain a formula for the total rate of radiation per unit area of a black body. Assume that the sun radiates as a black body. You are given the radius of the sun R -7x101° cm, the average distance of the sun to the earth d Lx10 c, nthe solar consdant, the aount of enexgy : carth when the sun...
3. Suppose a forestfire spreads in a circle with radius changing at the rate of r(t)=0.2e10 feet per minute, the variable t indicates the number of minutes since the fire started. At what rate is the area of the burning region increasing six hours after the fire started? Round your to nearest hundredth f(x)= of the burning region is increasing at a rate of ain units are clearly stated with your answer.) six hours after the fire started. 3. Suppose...
1. The lateral surface area S of a cone excluding its base is given by where r is the radius of the base and h is the height. Determine the radius of a cone which has a lateral surface area 1200 m2 and a height of 20 m, by using the fixed point iteration with Start withr 17, and perform calculations in Matlab until two consec utive iterates do not differ by more than 10-8. What do you observe re...
4. Given a value for Mars’ radius of 3400 km, an albedo of Mars of 0.15, and Mars’ distance from the Sun of 1.52 AU, then: a. determine the power, Psq.m, of the radiation from the Sun flowing through and area of 1 m2 facing the Sun with the area located at a distance of Mars from the Sun of 0.72 AU. b. What power, Pabs, is absorbed by Mars? c. What would mars’ surface temperature, T, be, assuming that...
The surface of the sun has a temperature of about 5800K and consists largely of hydrogen atoms. Find the rms speed of a hydrogen atom at this temperature. (The mass of a single hydrogen atom is 1.67×10−27kg.) The escape speed for a particle to leave the gravitational influence of the sun is given by (2GM/R)1/2, where M is the sun's mass, R its radius, and G the gravitational constant. The sun`s mass is M=1.99×1030kg, its radius R=6.96×108mand G=6.673×10−11N⋅m2/kg2. Calculate the...
An isolated star with the radius of the Sun (6.95 × 108 m) rotates on an axis through its centre once every 2.16 × 106 s. It collapses under gravity to form a much denser star with the radius of the Earth (6.38 × 106 m). For the purposes of this question, you may assume that no matter is lost from the star during its collapse. You may also treat the star as a homogeneous sphere before and after the...
6. Consider a cylinder with a surface area of 2 m2. Find the radius r and height h of such a cylinder so that the volume of the cylinder is a maximum. Given: For a cylinder, the surface area is S = 2^r2 + 2trh and the volume is V = arh (where r is the radius and h is the height of the cylinder). I (5)
after two seconds? The Voltage across a resistor R is given by V(t)=e. 2t cos(+²+1) How fast is the Voltage Changing Round your answer to 3 decimals places.