The magnetic force acting on the proton is
where
q is the proton charge
v is its speed
B is the intensity of the magnetic field
is the angle between the direction of v and B; since the proton is moving perpendicular to the magnetic field,
and
, so the force becomes
this force provides the centripetal force that keeps the proton in circular motion:
where the term on the left is the centripetal force, with
m being the mass of the proton
r the radius of its orbit
Re-arranging the previous equation, we can find the radius of the proton's orbit:
And now we can calculate the centripetal acceleration of the proton, which is given by
Answer:
scientists use information about the past to build their climate models. scientists test their climate models by using them to forecast past climates. when scientists can accurately forecast past climates, they can be more confident about using their models to predict future climates.
Explanation:
scientists use information about the past to build their climate models. scientists test their climate models by using them to forecast past climates. when scientists can accurately forecast past climates, they can be more confident about using their models to predict future climates.
To solve this problem it is necessary to apply the concepts of Work. Work is understood as the force applied to travel a determined distance, in this case the height. The force in turn can be expressed by Newton's second law as the ratio between mass and gravity, as well
Where,
m = mass
h = height
g = Gravitational constant
When it ascends to the second floor it has traveled the energy necessary to climb a height, under this logic, until the 4 floor has traveled 3 times the height h of each of the floors therefore
Replacing in our equation we have to
The correct answer is 4.
A mass weighing 32 pounds stretches a spring 2 feet.
(a) Determine the amplitude and period of motion if the mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of 6 ft/s.
(b) How many complete cycles will the mass have completed at the end of 4 seconds?
Answer:
Period = seconds
8 cycles
Explanation:
A mass weighing 32 pounds stretches a spring 2 feet;
it implies that the mass (m) =
m=
= 1 slug
Also from Hooke's Law
2 k = 32
k =
k = 16 lb/ft
Using the function:
(because of the initial position being above the equilibrium position)
( as a result of upward velocity)
NOW, we have:
However;
means
also implies that:
Hence,
Period can be calculated as follows:
=
= seconds
How many complete cycles will the mass have completed at the end of 4 seconds?
At the end of 4 seconds, we have:
cycles