Physics multiple choice questions

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The discussion revolves around solving multiple choice physics questions related to electric fields, kinetic energy, and concave mirrors. The first question involves calculating the acceleration of a charged object in an electric field, where the user selected option B (0.5 m/s²). The second question pertains to the work done by electric forces on a charged particle moving between two points with different kinetic energies, with the user guessing option C (2 uJ). The final question concerns the focal length of a concave mirror, where the user guessed option D (12 cm) based on the properties of image formation. Participants are encouraged to provide explanations and relevant equations to clarify the reasoning behind the answers.
thisisfreaky
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I'm doing some practice multiple choice questions for my class and I would like to check my answers for some ones I wasn't entirely sure about. Any explanations would be really helpful.
1)What is the acceleration of an object of mass 4.5*10^-5 kg with a charge of 9*10^-9 C under the influence of an electric field of magnitude 5000 V/m assuming gravity is negligible.
A) 0.05m/s^2
B) 0.5m/s^2
C) 0.9m/s^2
D) 1.0 m/s^2
E) 5.0m/s^2
I got choice B.

2) A charged particle is in a region that contains both an electric and a magnetic field. The kinetic energy of the particle is 9 uJ at point X and 11 uJ at point Y. If the only forces present are electromagnetic, what is the work done by the electric force on the particle as it moves from X to Y along a upside down parabolic path?
A)0 uJ
B)1 uJ
C)2 uJ
D) 11uJ
E) 20 uJ
I just sort of guessed C on this one.

An object is placed 12 cm in front of a concave mirror. The mirror forms a real inverted image that is the same size as the object, also at 12 cm in front of the mirror. The focal length of the mirror is
A) 3.0 cm
B) 4.0 cm
C) 6.0 cm
D) 12 cm
E) 24 cm
I guessed choice D on this one.
 
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Please show your work or reasoning on how you got your answers. For the ones where you just guessed, try to find what equations would apply.
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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