Question #43967

A CLOCK HAVING MARKS INSTEAD OF NUMBERS ON ITS DIAL APPEARS TO INDICATE 4.35 WHEN VIEWED THROUGH A MIRROR.WHAT IS THE CORRECT TIME?

A MAN IS RUNNING AWAY FROM A PLANE MIRROR AT THE RATE OF 10 m/s. WITH WHAT SPEED IS HE RECEDING FROM HIS OWN IMAGE?

Expert's answer

Answer on Question #43967-Physics-Optics

A CLOCK HAVING MARKS INSTEAD OF NUMBERS ON ITS DIAL APPEARS TO INDICATE 4.35 WHEN VIEWED THROUGH A MIRROR. WHAT IS THE CORRECT TIME?

Answer

If a mirror is opposite to a clock, the time 4.35 now would be 7.20.

A MAN IS RUNNING AWAY FROM A PLANE MIRROR AT THE RATE OF 10m/s10\mathrm{m/s}. WITH WHAT SPEED IS HE RECEDING FROM HIS OWN IMAGE?

Answer

The speed of a man relative to his image is equal the sum of speed of a man relative to a mirror and speed of a mirror relative to image. These speeds are equal, so


vman-image=vman-mirror+vmirror-image=10ms+10ms=20ms.v_{\text{man-image}} = v_{\text{man-mirror}} + v_{\text{mirror-image}} = 10 \frac{\mathrm{m}}{\mathrm{s}} + 10 \frac{\mathrm{m}}{\mathrm{s}} = 20 \frac{\mathrm{m}}{\mathrm{s}}.


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