A 2kg bowling ball rolls at a speed of 5 m/s on a roof of the building that is 40 meters tall. What is the kinetic energy
1 answer:
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Yes, the ions can exit slit P without being deflected, if the electric field strength is 170.6 N/C
Explanation:
When the ions are inside the container, they are subjected to two forces, with directions opposite to each other:
- The force due to the electric field, whose magnitude is
, where q is the charge of the ion and E is the strength of the electric field
- The force due to the magnetic field, whose magnitude is
, where v is the speed of the ions and B is the strength of the magnetic field
The ions will move straight and undeflected if the two forces are equal and opposite. By using Fleming Left Hand rule, we notice that the magnetic force on the (negative) ions point upward: this means that the electric field must be also upward (so that the electric force on the ions is downward). Then, the two forces are balanced if
which translates into
Therefore, if the speed of the ions is equal to this ratio, the ions will go undeflected.
We can even calculate the value of E at which this occurs. In fact, we know that the ions are earlier accelerated by a potential difference , so we have that their kinetic energy is given by the change in electric potential energy:
where
Solving for v, the speed,
And since the magnetic field strength is
B = 0.83 T
The strength of the electric field must be
Learn more about electric and magnetic fields:
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Answer:
à in unit vector notation = 12.26485i + 7.54539j
B in unit vector notation = 16.3516i + 3.11529j
Explanation:
The detailed steps and calculation is shown in the attachment.
Answer:
The horizontal distance is 4.823 m
Solution:
As per the question:
Mass of man, m = 65.0 kg
Height of the hill, H = 5.00 m
Mass of the backpack, m' = 20.0 kg
Height of ledge, h = 2 m
Now,
To calculate the horizontal distance from the edge of the ledge:
Making use of the principle of conservation of energy both at the top and bottom of the hill (frictionless), the total mechanical energy will remain conserved.
Now,
where
KE = Kinetic energy
PE = Potential energy
Initially, the man starts, form rest thus the velocity at start will be zero and hence the initial Kinetic energy will also be zero.
Also, the initial potential energy will be converted into the kinetic energy thus the final potential energy will be zero.
Therefore,
where
v = velocity at the hill's bottom
Now,
Making use of the principle of conservation of momentum in order to calculate the velocity after the inclusion, v' of the backpack:
Now, time taken for the fall:
Now, the horizontal distance is given by:
x = v't =