contestada

A 75.0 kg sailor climbs a 28.3 m rope ladder at and angle of 45.0degrees with the mast. how much work did he do?

Respuesta :

W = m · g · h
h = 28.3 m · sin 45° = 28.3 m · 0.707 = 20 m
g = 9.8 m/s²
W = 75 kg · 9.8 m/s² · 20 m
Answer:
W = 14,700 J = 14.7 kJ 

The work done by the sailor is 14,700 J. Work can be defined as a change in energy.

How to calculate the work?

The can be calculated by multiplying the force with displacement.

[tex]W = F d[/tex]

Where,

[tex]F[/tex] - force = [tex]mg[/tex] = 75 kg x 9.8 = 735 N

[tex]d[/tex] - displacement = [tex]h[/tex] (height)

First, calculate the displacement :

[tex]h[/tex] = 28.3 m · sin 45°

[tex]h[/tex]= 28.3 m · 0.707

[tex]h[/tex] = 20 m

Put the values in the formula,

W = 735 x 20

W = 14,700 J

Therefore, the work done by the sailor is 14,700 J.

Learn more about  work:

https://brainly.com/question/1757607