You want a client to complete $200$ kJ of work during a training session on a Monark bike ergometer. They have $40$ min and a preferred cycling cadence of $75$ rpm$.$ The flywheel moves $6$ m with every pedal stroke.

$1.$ What does the resistance need to be to complete the desired amount of work?

a$)5$ N

b$)67$ N

c$)83$ N

d$)11$ N

$2.$ What basket weight will achieve the desired resistance?

a$)1\mathrm{.}1$ kg

b$)108$ kg

c$)0\mathrm{.}89$ kg

d$)10\mathrm{.}8$ kg