Jacob and Sophia are playing with a merry-go-round on a playground. The merry-go-round can be modeled as a flat disk with massM= 223.0kg and radiusR= 3.3 m that freely rotates horizontally without frictionabout its center axis. When the merry-go-round is already spinning at23 rotations per minute, Jacob exerts a constant forceFJ= 12.3 Ntangent to the outer edge of the merry go round in the direction of themerry-go-round’s rotation. At the same time Sophia puts her foot ata distancer= 3.1 m from the center, which exerts a constant force offrictionFS= 21.2 N. How long will it take for the merry-go-round tocome to a stop?

Apoint charge +q is at the origin. a spherical gaussian surface centered at the origin encloses +q. so does a cubical surface centered at the origin and with edges parallel to the axes. select "true" or "false" for each statement below. the electric flux through the spherical surface is greater than that through the cubical surface. suppose (for this statement only), that q is moved from the origin but is still within both the surfaces. the flux through both surfaces remains unchanged. the area vector and the e-field vector point in the same direction for all points on the spherical surface. the e-field at all points on the spherical surface is equal due to spherical symmetry. the flux through the spherical gaussian surface is independent of its radius.