Answer:

Explanation:
The radius of the circumference described by a particle in a cyclotron is given by:

m is the particle's mass, v is the speed of the particle, q is the particle's charge and B is the magnitude of the magnetic field.
Kinetic energy is defined as:

Solving this for mv:

Replacing (2) in (1):

For protons, we have:

For alpha particles, we have:

Dividing (4) in (3):

Explanation:
W = PE
W = mgh
1500 J = (20 kg) (9.8 m/s²) h
h = 7.65 m
Round as needed.
Answer:
Force = 22508.86 N
Explanation:
Given:
Area of the window, A = 2.02 m²
Air pressure inside the house, P₁ = 1.02 atm
External air pressure, P₂ = 0.910 atm
Now, The difference in the pressure, ΔP = P₁ - P₂ = 1.02 - 0.910 = 0.11 atm
or
ΔP = 0.11 atm × (101300 Pa / 1 atm )
ΔP = 11143 Pascals
Now,
the Force is given as:
Force = Pressure × area
on substituting the values, we get
Force = 11143 Pa × 2.02 m²
or
Force = 22508.86 N