Answer:22537.92 J
Explanation:
Given
mass of karen [tex]\left ( m\right )=57.9 kg[/tex]
Distance covered by Karen =69.6 m
acceleration due to gravity=9.8
inclination[tex]=34.8^{\circ}[/tex]
vertically karen move
[tex]h=69.6\times \sin \left ( 34.8\right )[/tex]
h=39.72 m
Work done by escalator on karen is equal to change in potential energy of karen
[tex]\Delta P.E.=m\times g\times \Delta h[/tex]
[tex]\Delta P.E.=57.9\times 9.8\times 39.72=22537.92 J[/tex]
Answer:
22537.92 J
Explanation:
We are given that
Mass of Karen=57.9 Kg
Karen rode a distance=69.6 m
Acceleration due to gravity=[tex]9.8 m/s^2[/tex]
[tex]\theta=34.8^{\circ}[/tex]
We have to find the amount of work done by escalator on Karen.
Vertical height of longest escalator=[tex]69.6 sin 34.8^{\circ}=39.72 m[/tex]
Work done=Potential energy of escalator
Work done=mgh=[tex]57.9\times 9.8\times 39.72=22537.92 J[/tex]
Hence, the work done on Karen=22537.92 J
