A small convex mirror is placed 60 cm from the pole and on the axis of a large concave mirror of radius of curvature 200 cm. The
1 answer:
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Answer:
Magnification is approximately 7.71
Explanation:
Magnification is the process of enlarging the apparent size of an object. For two lenses in sequence such as in a microscope, the magnification is determined by the ratio of the focal length of the eyepiece lens to the focal length of the objective lens.
The focal length of a lens is the distance between the center of a lens and the point (focal point) where parallel rays converge after passing through the lens.
= magnification
= focal length of eyepiece lens
= focal length of objective lens
(a)
The tangential acceleration component of the car is simply equal to the change of the tangential speed divided by the time taken:
This rate of change is already given by the problem, 0.800 m/s^2, so the tangential acceleration of the car is
(b)
The centripetal acceleration component is given by
where
v is the tangential speed
r is the radius of the trajectory
When the speed is v = 3.00 m/s, the centripetal acceleration is (the radius is r = 10.0 m):
(c)
The centripetal acceleration and the tangential acceleration are perpendicular to each other, so the magnitude of the total acceleration can be found by using Pythagorean's theorem:
and the direction is given by:
where the angle is measured with respect to the direction of the tangential acceleration.