Answer:
i/f = i/o + i/i f = focal, o = object, i = image
1 / i = 1 / f - 1 / o = (o - f) / o f
i = o * f / ( o - f) image distance
i = 12.5 * 22 / (12.5 - 22) = -28.9 cm
Image is real
Image is 28.9 cm to left of lens
M = - i / o = = 28.9 / 12.5 = 2.3 magnification (convex lens)
From the concept of optics on a curvature of a spherical mirror, the proportion for which the focal length is equivalent to half the radius of curvature is fulfilled. Mathematically this is

Here,
f = Focal Length
R = Radius
Rearranging to find the radius we have,

Replacing with our values,
R = 2(13.8cm)
R = 27.6cm
Therefore the radius of the spherical surface from which the mirror was made is 27.6cm
Answer:
Q = 12.466μC
Explanation:
For the particle to execute a circular motion, the electrostatic force must be equal to the centripetal force:

Solving for Q:

Taking special care of all units, we can calculate the value of the charge:
Q = 12.466μC
Given the work done, the force exerted on the taco stand through the given distance is 2.3 × 10³ Newtons.
<h3>What is Work done?</h3>
Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;
W = f × d
Where f is force applied and d is distance travelled.
Given that;
- Work done W = 3500J = 3500kgm²/s²
- Distance covered d = 1.5m
- Force applied F = ?
W = f × d
3500kgm²/s² = f × 1.5m
f = 3500kgm²/s² ÷ 1.5m
f = 2.3 × 10³ kgm/s²
f = 2.3 × 10³ N
Given the work done, the force exerted on the taco stand through the given distance is 2.3 × 10³ Newtons.
Learn more about work done here: brainly.com/question/26115962
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