Question

A 70.0 kg sailor climbs a 28.3 m rope ladder at an angle of 45.0° with the mast.How much work did he do?19,400 J13,700 J1,400 J686 J

Answer 1

In this case, we need to calculate the weight

`w=70\cdot9.81=686.7N`

then we calculate the force in the y-axis

`F_y=686.7\sin (45)=485.57`

and then we use the formula to calculate the work

`W=F\cdot d`

where W is the work, F is the force and d is the distance

`W=485.57(28.3)=13741.63J`

therefore the correct choice is 13,700 J