Answer:
The work done to lift the counterweight equals the potential energy acquired
Explanation:
since this is vertically applied force on the counterweight, and the distance the force is displacing the counterweight is in the same direction as the applied force, it equals the gained potential energy
A. The aerialist’s feet and the rope
Answer:
a) 
b) 
c) 
d) 
e) 
Explanation:
At that energies, the speed of proton is in the relativistic theory field, so we need to use the relativistic kinetic energy equation.
(1)
Here β = v/c, when v is the speed of the particle and c is the speed of light in vacuum.
Let's solve (1) for β.

We can write the mass of a proton in MeV/c².

Now we can calculate the speed in each stage.
a) Cockcroft-Walton (750 keV)



b) Linac (400 MeV)



c) Booster (8 GeV)



d) Main ring or injector (150 Gev)



e) Tevatron (1 TeV)



Have a nice day!
Answer:
There is no change, unless your mass is somehow at the quantum level, at which the concept of half-life breaks down.
Half life is a property of the specific radioactive isotope...NOT of the initial sample's mass.
Answer:
Ty's blood is slightly alkaline
Explanation: