A plastic dowel has a Young's Modulus of 1.50 ✕ 1010 N/m2. Assume the dowel will break if more than 1.50 ✕ 108 N/m2 is exerted. (a) What is the maximum force (in kN) that can be applied to the dowel assuming a diameter of 2.70 cm? kN (b) If a force of this magnitude is applied compressively, by how much (in mm) does the 28.0 cm long dowel shorten? (Enter the magnitude.) mm

(A) The maximum force is 85.8 kN.

(B) Dowel shorten by 2.79 mm

Explanation:

Given:

Young modulus

Pressure fracture

Diameter m

Radius m

(A)

From the formula of force in terms of pressure,

Where area of dowel

kN

(B)

From young modulus formula,

Where m

mm

Therefore, the maximum force is 85.8 kN and dowel shorten by 2.79 mm

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the answer is a. hope this .