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A man stands still on a moving escalator and a woman walks past him in the same direction as the escalator. To a stationary observer, the man has a speed of 0.4 m/s and the woman has a speed of 0.52 m/s. From the frame of reference of the man on the escalator, how fast is the woman walking?

Respuesta :

0.52 - 0.4 = 0.12
0.12 m/s

Answer: The speed at which the woman walks with respect to the man is 0.12 meter per second.  

Explanation:

In the given problem, a man stands still on a moving escalator and a woman walks past him in the same direction as the escalator.

Both are in the same direction.

Calculate the relative speed of the woman with respect to the man.

[tex]v_{wm}=v_{w}-v_{m}[/tex]

Here, [tex]v_{wm}[/tex] is the velocity of the woman with respect to the man, [tex]v_{w}[/tex] is the velocity of the woman and [tex]v_{m}[/tex] is the velocity of the man.

Put v_{m}=0.4 meter per second and v_{w}=0.52 meter per second.

[tex]v_{wm}=0.52-0.4[/tex]

[tex]v_{wm}=0.12 ms^{-1}[/tex]

Therefore, the speed at which the woman walks with respect to the man is 0.12 meter per second.