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Question

x WeBWork: England MAT x C CITI Collaborative Institu X Asu My ASU C https://webwork.asu.edu/webwork2/England MAT 267 Spring 2015/Section 10.9/5/?user ckfreela&effectiveUser; ckfreela&key; Ynj7vMPSkeBwUS1aAEj21wFBGr9HRUMSWR E WeBWorK Logged in as cktreela. Log Out MATHEMATICAL ASSOCIATION OF AMERICA webwork england mat 267 spring 2015 section 1 MAIN MENU Homework Sets Section 10.9 Problem 5 Section 10.9: Problem 5 Password/Email Prev Up Next Grades Problems A dense particle with mass 100 kg follows the path r(t) sin(2t), cos(5t), 5/2 with units in meters and seconds. Problem 1 What force acts on the mass at t 0? Problem 2 Problem 3 Problem 4 Problem 5 Note: You can earn partial credit on this problem. Problem 6 Problem 7 Preview Answers Submit Answers Problem 8 You have attempted this problem 0 times. You have unlimited attempts remaining. Display options View equations as Email instructor ages Math Jax Show saved answers https://web d MAT 267 Spring 2015/S 0.9/6/? &key-Yi; &display; Mode M OldA

Explanation / Answer

r(t) = <sin2t , cos5t , 2t^(5/2>

Deriving :

v(t) = <2cos2t , -5sin5t , 5t^(3/2)>

Deriving again :

a(t) = <-4sin(2t) , -25cos(5t) , (15/2)t^(1/2) >

When t = 0, acceleration becomes :

a(0) = <-4sin0 , -25cos0 , (15/2)0^(1/2)>
a(0) = <0 , -25 , 0>

Multiply this to mass :

F(0) = 10 * <0 , -25 , 0>

F(0) = <0 , -250 , 0> ---> ANSWER