It comes the word robota in czech meaning drudgery or hard labor
the force acting on that object
Answer:
W = 71J
Explanation:
Given force F = (5i+5j−1k)N
d = Δr
r1 = (−5,−3,−4)m
r2 = (2,5,0)m
Δr = r2 – r1 = (2-(-5), 5-(-3), 0-(-4))
Δr = (2+5, 5+3, 0+4) = (7i+ 8j +4k)m
W = F•d = (5i+5j−1k)•(7i+ 8j +4k)
W = 5×7 + 5×8 +-1×4 = 35 + 40 - 4
W = 71J
To solve this problem it is necessary to apply the concepts related to the magnetic field in a solenoid.
By definition we know that the magnetic field is,



At the same tome we know that the induced voltage is defined as


Replacing


PART A) Substituting with our values we have that

Therefore there is not induced electric field at the center of solenoid.
PART B) Replacing the radius for 0.5cm

Therefore the magnitude of the induced electric field at a point 0.5cm is 
Answer:
K = 4.64 10⁻¹⁵ J
Explanation:
For this exercise we can use conservation of energy
starting point. Next to the negative plate
Em₀ = U = e V
final point. Right when you hit the positive plate
Emf = K = ½ m v²
energy is conserved
Em₀ = Em_f
e V = K
The electric potential is related to the electric field
V = - Ed
we substitute
-e E d = K
let's calculate
K = -1.6 10⁻¹⁹ (-2.9 10⁶) 1.0 10⁻²
K = 4.64 10⁻¹⁵ J