Answer:
t = 4.21x10⁻⁷ s
Explanation:
The time (t) can be found using the angular velocity (ω):
<em>Where θ: is the angular displacement = π (since it moves halfway through a complete circle)</em>
We have:
<u>Where</u>:
<em>v: is the tangential speed </em>
<em>r: is the radius</em>
The radius can be found equaling the magnetic force with the centripetal force:

Where:
m: is the mass of the alpha particle = 6.64x10⁻²⁷ kg
q: is the charge of the alpha particle = 2*p (proton) = 2*1.6x10⁻¹⁹C
B: is the magnetic field = 0.155 T
Hence, the time is:

Therefore, the time that takes for an alpha particle to move halfway through a complete circle is 4.21x10⁻⁷ s.
I hope it helps you!
distance
speed = — ————
time
s= 30m
———
6s
the average speed of the marble is 5s/m
Answer:
The fish would appear 42.7 cm on the left side from the front of the bowl.
Explanation:
The fish (object) distance = 11.9 cm, radius of curvature of the bowl = 33 cm. The distance of image of the fish (image distance) can be determined by applying the mirror formula;
=
+ 
where f is the focal length of the reflecting surface, u is the object distance and v is the image distance.
But, f =
=
f = 16.5 cm
Substitute f = 16.5 =
, and u = 11.9 =
in equation 1;
=
+ 
=
-
= 
= 
⇒ v = 
= -42.6848
v = 42.7 cm
The fish would appear 42.7 cm on the left side from the front of the bowl.