Answer: 20,734.69 N/m
Explanation:
The elastic potential energy (ELPE) of the rubber band is given by

where
k is the spring constant
x = 0.035 m is the stretching of the rubber band
E = 12.7 J is the ELPE of the rubber band
Substituting the numbers and re-arranging the equation, we find

To solve this exercise it is necessary to apply the concepts related to the Snells law.
The law defines that,

Incident index
Refracted index
= Incident angle
Refracted angle
Our values are given by


Refractory angle generated when light passes through the fiber.
Replacing we have,




Now for the calculation of the maximum angle we will subtract the minimum value previously found at the angle of 90 degrees which is the maximum. Then,

Therefore the critical angle for the light ray to remain insider the fiber is 28.6°
Answer:
Mercury / Mars
Explanation:
For an object launched straight upward, the following SUVAT equation can be used

where
v is the final velocity
u is the initial velocity
g is the acceleration of gravity (free fall acceleration) (the negative sign is due to the downward direction of gravity)
h is the maximum height reached
At the maximum height, the velocity is zero, so v = 0. Re-arranging the equation,

So we see that for equal initial velocity (u), the maximum height reaches is inversely proportional to the acceleration of gravity. Therefore, the potato gun will reach the highest altitude in the planets with lowest acceleration of gravity, therefore Mercury and Mars (3.7 and 3.6 m/s^2).
The object with the lighter mass will accelerate more
I can not solve the problem if I do not have the mass.