Suppose a distant world with surface gravity of 7.20 m/s2 has an atmospheric pre

Question

Suppose a distant world with surface gravity of 7.20 m/s2 has an atmospheric pressure of 7.88 x 104 Pa at the surface (a) What force is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of a methane ocean? (b) What is the weight of a 10.0-m deep cylindrical column of methane with radius 2.00 m? Note: The density of liquid methane is 415 kg/m3 (c) Calculate the pressure at a depth of 10.0 m in the methane ocean. Pa Need Help? Read + 2 points SerCP11 9.P.072. My Notes Ask Yo A stainless-steel orthodontic wire is applied to a tooth, as in the figure below. The wire has an unstretched length of 2.74 cm and a radius of 0.14 mm. If the wire is stretched 0.13 mm, find the magnitude and direction of the force on the tooth. Disregard the width of the tooth and assume Young's modulus for Stainless steel is 18 XPa magnitude direction 30° 30°

Explanation / Answer

(a) F = pA

= (7.88 x 104 N/m2)(3.14 *4m2)

= 989728 N

(b) F = mg

= (10 m)(3.14* 4m2)(415 kg/m3)(7.2 m/s2)

= 375292.8N

(c) p = 7.88 x 104 N/m2 + (10 m)(415 kg/m^3)(7.2 m/s2)
= 108680 Pa

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