On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same nu
2 answers:
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Answer:
a) The sign of the charge is positive.
b) The magnetic force on the particle is 0.050 newtons.
Explanation:
The magnetic force F on a moving charge with velocity v passing through a magnetic field B is:
(1)
a)
Because it is a cross product, we can find the direction of the force using the right-hand rule, that is too the direction of the movement. We have two possibilities here because the velocity vector and magnetic field are perpendicular: the particle deflects towards east or toward west, which depends on the charge of the particle. Note that if you put your right hand fingers, except thumb, pointing towards north (direction of velocity) and later close them in the direction of the magnetic field, if you maintain your thumb perpendicular to this movement it will point towards east (See figure), so that will be de direction of the force if the charge is positive, but if the charge is negative, the direction will be opposite (towards west). So the charge has to be positive to deflects towards east.
b)
Now by 1:
A) The mass of the continent is
B) The kinetic energy is 2016 J
C) The speed of the jogger should be 7.1 m/s
Explanation:
A)
The mass of the continent can be calculated as
where
is its density
V is its volume
We have to calculate its volume. We know that the continent is represented as a slab of side 5900 km (so its surface is 5900 x 5900, assuming it is a square) and depth of 26 km, so its volume is:
So, the mass of the continent is
B)
The kinetic energy of a body is given by
where
m is the mass of the body
v is its speed
For the continent, we have:
is the mass
is the speed
We have to convert the speed into SI units. we have:
1 cm = 0.01 m
So, the speed is
Therefore, the kinetic energy is
C)
Again, the kinetic energy of an object is
For the jogger in this problem, his mass is
m = 80 kg
And we want its kinetic energy to be equal to that of the continent, so
K = 2016 J
Re-arranging the equation for v, we find what speed the jogger needs to have this kinetic energy:
Learn more about kinetic energy here:
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