Answer:

Explanation:
Given that,
1.00 in = 2.54 cm
We know that,
1 feet = 12 inches


We calculate the number
We need to converted
to
The number required is


Hence, This is the required solution.
Answer:
0.4
Explanation:

kinetic energy formula , potential energy is not considered
0.5×0.2×2×2
Answer: 2.61 s
Explanation:
We are given the following data:
is the initial height of the object
is the initial height of the object
In addition, the motion of the object is given by:
(1)
Where:
is the final height of the object
is the time the object is in the air before hitting the ground
Rewritting (1) with the given data:
(2)
Solving the quadratic equation with the quadratic formula
, where
,
,
and choosing the positive value of time:
(3)
(4) This is the time
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!