Explanation:
answers to 1 and 2 above/below respectively but can't do 3 because I don't know what graph you're talking about
Answer:
There are 934 excess electrons on the ball with charge -1.4944*10^(-16).
Step-by-Step Explanation:
A ball will usually be neutral and have no charge on it.
If it is negatively charged, it means there are excess electrons on it.
If we know the charge on the ball, we can count the excess no. of electrons.
We know that the charge on the ball = c = -1.4944*10^-16
Charge of one electron = e = 1.6*10^-19
Charge of n electrons on the ball = ne = c
⇒ n = c/e
n = (-1.4944*10^-16)/(1.6*10^-19)
n = 934 electrons
The maximum theoretical efficiency of the system is the one corresponding to the efficiency of a Carnot cycle operating between the same temperatures of the system:

where

and

are the cold and hot temperatures, respectively.
In our problem,

and

, therefore the maximum theoretical efficiency is

So, 33%.
Answer:
The dart with the small mass will travel the farthest distance.
Explanation:
Acceleration is proportional to force times mass, and inertia is proportional to mass. Inertia is the reluctance of a moving body to stop, and a stationary body to start moving (inertia increses with mass). Assuming they both have the same aerodynamic design, and that they are both launched with the same force applied for the same time duration, the dart with less small mass will accelerate faster than the big mass dart. From this we can see that the small dart will have covered a longer distance before the effect of the force stops, when compared to the more massive dart.