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Answer :
(a) The focal length of the concave mirror is -5.20 m. (b) The image distance is 5.27 m. (c) The magnification is -0.33.
(a) To find the focal length of the concave mirror, we can use the mirror formula: 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance. Since the object distance is positive and the image distance is negative for a concave mirror, we have u = 8.90 m and v = -5.20 m. Substituting these values into the formula, we get 1/f = 1/-5.20 - 1/8.90. Solving for f, we find f = -5.20 m.
(b) The image distance can be calculated using the mirror formula: 1/f = 1/v - 1/u. Substituting the known values, we have 1/-5.20 = 1/v - 1/8.90. Solving for v, we find v = 5.27 m.
(c) The magnification can be found using the formula: magnification (m) = -v/u. Substituting the values, we have m = -5.27/8.90 = -0.33.
In summary, the focal length of the concave mirror is -5.20 m, the image distance is 5.27 m, and the magnification is -0.33.
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