Problem $6$

A Ferris wheel is a vertical, circular amusement ride with radius, $\backslash (\backslash$boldsymbol$\{$R$\}\backslash$mathbf$\{6\}\backslash$mathbf$\{$m$\}\backslash ).$ Riders sit on seats that swivel to remain horizontal. The Ferris wheel rotates so that riders move at a constant speed, $\backslash (\backslash$boldsymbol$\{$v$\}=\backslash$mathbf$\{7$ ~ m$\}/\backslash$mathbf$\{$s$\}\backslash ).$ Consider a rider whose mass, $\backslash (\backslash$boldsymbol$\{$m$\}=\backslash$mathbf$\{80\}\backslash$mathbf$\{$~ k g$\}\backslash ).$

How much work does the force exerted by the seat do on the rider as they move from point $\backslash ($ D $\backslash )$ to point $\backslash ($ F $\backslash )?$

The magnitude of acceleration due to gravity is $\backslash (\backslash$mathbf$\{10$ ~ m$\}/\backslash$mathrm$\{$s$\}^\{\backslash$mathbf$\{2\}\}\backslash ).$ Select the closest answer.

the asnwer is $-4800$ J