Answer:
The charge at the center of the conducting sphere is zero.
Explanation:
A principle of conductor materials is that the electric field inside a conductor in electrostatic state is always zero. The gauss law says that the flux of a electric field in a closed surface is proportional to the charge enclosed by the surface. Then if the Electric field inside of a conductor is zero, imperatively the charge anywhere inside the conductor is zero too, so the charge at the center of the sphere is zero.
Density = (mass) / (volume)
Mass = 0.150 kg = 150 grams
Volume = (length) · (width) · (height)
Volume = (2.5 cm) · (4.3 cm) · (1.98 cm)
Volume = 21.285 cm³
Density = (150 g) / (21.285 cm³)
Density = 7.05 g/cm³
Answer:
B = 7.6 T direction of + x
Explanation:
For the proton beam to continue in the same direction the electric and magnetic forces must be equal
= 0
= F_{e}
Fm = q E
The electric force is in the direction of the electric field because it is the charge of the positive proton, the electric force goes in the direction of –y, therefore, the magnetic force cancels this force must go in the direction of + y
The magnetic force is
F_{m} = q v x B = q v B sin θ
θ = 90
B = q E / q v
B = E / v
B = 800/105
B = 7.6 T
To find the direction of the magnetic field we use the right hand rule, the thumb goes in the direction of the proton velocity, the fingers extended in the direction of the magnetic field and the palm is the direction of force, for a positive charge.
Thumb goes in the direction of the + z axis
Palm in the direction of +y
Fingers point in the direction of + x
Answer:
t = 12 s
Explanation:
To find the time in which the police reaches the thief you write the equation of motion of both thief and police:
The thief has a constant velocity, the position is then given by:
(1)
The police has an acceleration, then the position is:
(2)
the time in which the police reaches the thief is when their positions are equal, that is, when expression (1) equals expression (2). But before you calculate the acceleration of the police:

you replace this values in (2) and you equal the expression (1) and (2) (with vo = 0):

one root is t = 0s, but it is omitted because is the momment in which the thief pass in front of the police. The other root is:

hence, the time is 12 s