Released taken in
<span>Anion are associated with exothermic process.</span>
Let us say that v is the
tangential velocity of the object, a to be the centripetal (which acts towards
the center of the circle) acceleration and F as the centripetal force, r to be
the radius of the circle and m is mass of the child. <span>
a = v^2 / r
F = ma = mv^2/r
Applying the given values to the equation:
F=30*(5^2/5) => 30*(25/5) => 30*5 => 150 Newtons</span>
Now work is Force times
distance, the distance is simply the circumference of the circle.
d = C = 2 * pi * r = 2 *
pi * 5 = 10π m
W = F * d = 150 N * 10π
m
<span>W = 1500π J = 4712.39 J</span>
The rest energy of a particle is

where

is the rest mass of the particle and c is the speed of light.
The total energy of a relativistic particle is

where v is the speed of the particle.
We want the total energy of the particle to be twice its rest energy, so that

which means:


From which we find the ratio between the speed of the particle v and the speed of light c:

So, the particle should travel at 0.87c in order to have its total energy equal to twice its rest energy.
Susie's vertical displacement is 2.1 m
Explanation:
In order to solve this problem, we have to resolve the displacement vector along the vertical direction.
The vertical component of a vector is given by:

where
v is the magnitude of the vector
is the angle between the direction of the vector and the horizontal
Therefore, the vertical component of the displacement in this problem is given by

where
d = 3 m is the magnitude of the displacement
is the angle between the displacement and the horizontal
Substituting, we find

Learn more about vector components:
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Answer:
24 cm
Explanation:
Given:
Mass of proton = 1.67 × 10⁻²⁷ Kg
kinetic energy = 2.5 × 10⁻¹³ J
magnetic field in the cyclotron, B = 0.75 T
Now,
Kinetic energy =
= 2.5 × 10⁻¹³ J
where, v is the velocity of the electron
or
= 2.5 × 10⁻¹³ J
or
v² = 2.99 × 10¹⁴
or
v = 1.73 × 10⁷ m/s
also,
centripetal force = magnetic force
or
= qvB
q is the charge of the electron
r is the radius of the dipole magnets
on substituting the respective values, we get
= 1.6 × 10⁻¹⁹ × 0.75
or
r = 0.2408 m ≈ 24 cm
Hence, the correct answer is 24 cm