The given question is incomplete. The complete question is as follows.
For your senior project, you would like to build a cyclotron that will accelerate protons to 10% of the speed of light. The largest vacuum chamber you can find is 60 cm in diameter.
What magnetic field strength will you need?
Explanation:
Formula for the strength of magnetic field is as follows.
B = 
Here, m = mass of proton =
kg
v = velocity = 10% of
=
m/s
q = charge of proton = 
r = radius =
= 30 cm = 0.30 m (as 1 m = 100 cm)
Therefore, magnetic field will be calculated as follows.
B = 
= 
= 
= 1.0437 T
Thus, we can conclude that magnetic field strength is 1.0437 T.
Answer:
- Option B) Absorbed energy results in the change in potential energy.
Explanation:
Please, find attached the graph that accompanies this question.
The<em> melting</em> proces is the change from solid phase to liquid phase. It is represented with the lower flat line with the symbol ΔHfus over it.
The line is flat because the temperature remains constant during this process. Thus, you know the option "C) As the temperature increases during melting, the kinetic energy also increases" is FALSE.
What happens during this process is:
- Most of the energy received by the particles from heating, during the melting process, goes to overcome the intermolecular bonds between the particles. This results in increasing the distance between the particles, so the internal potential energy increases. This is what the option <em>"B) Absorbed energy results in the change in potential energy" correctly describes.</em> Hence, option B) is TRUE.
Althoug most of the heat energy received is transformed into potential energy, yet a small part of the heat energy increases a bit the kinetic energy of the particles, because the particles will vibrate faster around their relatively fixed positions. Hence, the option "<em>A) The kinetic energy of the particles remains unchanged</em>" is FALSE.
As for option D) it is not reasonable at all: none chemical or physical priciple can be used to state that <em>the kinetic energy decreases as the particles move farther apart</em>. Thus, this is FALSE.
Answer:
Explanation:
Circle motion
Weight=4lb
Radius=3ft
Velocity Vb= 6ft/s
Velocity Vr=2ft/s
Velocity Vo=12
V2=√Vo²+Vr²
12=√Vo²+2²
Square both side
144=Vo²+4
Vo²=140
Vo=11.83ft/s
Applying conservation of angular momentum
Ha1=Hb2
MbVbr1=MbVor2
r2=Vbr1/Vo
r2=6×3/11.83
r2=1.52ft
The require time is written as.
∆r=Vrt
t=∆r/Vr
t=r1-r2/Vr
t=3-1.52/2
t=0.74sec
Answer:
78.315 m/s²
Explanation:
Amplitude, A = 4.70 cm = 0.047 m
Frequency, f = 6.50 Hz
Angular frequency, ω = 2 π f = 2 x 3.14 x 6.50 = 40.82 rad/s
Maximum acceleration, a = ω² A
a = 40.82 x 40.82 x 0.047
a = 78.315 m/s²
Is an underwater mountain range