A bug is flying towards a concave mirror along the optical axis. The radius of c

Question

A bug is flying towards a concave mirror along the optical axis. The radius of curvature of the mirror is R = 20.0 cm and the bug's speed is vbug = 24.8 cm/s. Find the speed of the bug's image relative to the mirror when the bug is s = 37.0 cm away from the mirror.

A bug is flying towards a concave mirror along the optical axis. The radius of curvature of the mirror is R = 20.0 cm and the bug's speed is Yug-24.8 cm/s. Find the speed of the bug's image relative to the mirror when the bug is s 37.0 cm away from the mirror Number em/s

Explanation / Answer

Focal length, f = R/2 = 10cm but for concave f = -10cm , object distance O = -37 cm

Image of Concave mirror , i = Of/O-f = -37*-10/-37+10 = 370/-27 = - 13.7 cm

velocity magnification , mv = (i/O)2  = 0.137

Image velocity, Vi = mv (object velocity) = 0.137*24.8 = 3.4 cm/s

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