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04 16 small compact sphere with a uniform mass density rolls without slipping on a roller coaster with cosine shape. ne sphere has mass m - 40g and radius r- 10mm. The spheres mass center follows the path y(x)-y.cos(kx) th yo 60mm. We ignore the air resistance and other effects that can lead to loss of mechanical energy. The here starts at x-0 with a horizontal velocity v = 45cm/s. The size 2pi/k equals the length between the two waves", meaning 0.8m. 1. What is the spheres velocity in the bottompoints? Ⓒ1.23 m/s 1.09 m/s Ⓒ1.50 m/s 1.37 m/s Ⓒ1.63 m/s 0.93 m/s 2. What are the paths normalforce on the sphere at the top points? 0.36 N 0.28 N 0.19 N 0.46 N Ⓒ0.10 N 0.43 N 3. What is the frictional force from the path on the sphere in position x-0.6m? 89 mN 6.4 mN 68 mN 17mN

04 16 small compact sphere with a uniform mass density rolls without slipping on a roller coaster with cosine shape. ne sphere has mass m - 40g and radius r- 10mm. The spheres mass center follows the path y(x)-y.cos(kx) th yo 60mm. We ignore the air resistance and other effects that can lead to loss of mechanical energy. The here starts at x-0 with a horizontal velocity v = 45cm/s. The size 2pi/k equals the length between the two waves", meaning 0.8m. 1. What is the spheres velocity in the bottompoints? Ⓒ1.23 m/s 1.09 m/s Ⓒ1.50 m/s 1.37 m/s Ⓒ1.63 m/s 0.93 m/s 2. What are the paths normalforce on the sphere at the top points? 0.36 N 0.28 N 0.19 N 0.46 N Ⓒ0.10 N 0.43 N 3. What is the frictional force from the path on the sphere in position x-0.6m? 89 mN 6.4 mN 68 mN 17mN

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K » 20 02 04 06 0.8 10 A small compact sphere with a uniform mass density rolls without slipping on a roller coaster with cosine shape. The sphere has mass m 40g and radius r- 10mm. The spheres mass center follows the path y(x) = yo cos(kx) with yo = 60mm. We ignore the air resistance and other effects that can lead to loss of mechanical energy. The sphere starts at x=0 with a horizontal velocity vo = 45cm/s. The size 2pi/k equals the length between the two "waves", meaning 0.8m. 1. What is the spheres velocity in the bottompoints? 1.23 m/s 1.09 m/s 1.50 m/s Ⓒ1.37 m/s Ⓒ1.63 m/s 0.93 m/s 2. What are the paths normalforce on the sphere at the top points? 0.36 N 0.28 N 0.19 N 0.46 N 0.10 N 0.43 N 3. What is the frictional force from the path on the sphere in position x=0.6m? 89 mN 6.4 mN 68 mN Ⓒ17 mN 48 mN Ⓒ31 mN
Transcribed Image Text:K » 20 02 04 06 0.8 10 A small compact sphere with a uniform mass density rolls without slipping on a roller coaster with cosine shape. The sphere has mass m 40g and radius r- 10mm. The spheres mass center follows the path y(x) = yo cos(kx) with yo = 60mm. We ignore the air resistance and other effects that can lead to loss of mechanical energy. The sphere starts at x=0 with a horizontal velocity vo = 45cm/s. The size 2pi/k equals the length between the two "waves", meaning 0.8m. 1. What is the spheres velocity in the bottompoints? 1.23 m/s 1.09 m/s 1.50 m/s Ⓒ1.37 m/s Ⓒ1.63 m/s 0.93 m/s 2. What are the paths normalforce on the sphere at the top points? 0.36 N 0.28 N 0.19 N 0.46 N 0.10 N 0.43 N 3. What is the frictional force from the path on the sphere in position x=0.6m? 89 mN 6.4 mN 68 mN Ⓒ17 mN 48 mN Ⓒ31 mN
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