Answer:
dz = 7.136 (answer)
Explanation:
given height for kate's kite = 50 ft (say y)
due to drift it move towards east = dx = 7 ft
string maximum length = 107 ft ( say z)
we have to find change in z
that is dz
it will form a right angle triangle for x , y and z where x is base y is height and z is hypotenuse
so we get according to Pythagoras Theorem
...............(i)
by derivative both side consider y as constant
from (i) equation
now put the value and find dz
after solving these we get
dz = 7.136 (answer)
Answer:
A) Force = 0.69 N
B) Acceleration = 0.34 m/s^2
Explanation:
The electric force is given by the expression:
K is the Coulomb constant equal to 9*10^9 N*m^2/C^2, q1 and 12 is the charge of the particles, and r is the distance:
Part B.
For the acceleration, you need Newton's second Law:
F = m*a
Then,
Answer:
(a) 0.81 V
(b) 0.52 V
Explanation:
Number of turns, N = 150
Radius, r = 2.5 cm = 0.025 m
Magnetic field, B = 0.060 T
f = 440 rev/min = 440 / 60 = 7.33 rps
A.
The maximum emf is given by
e = N x B x A x 2 x π x f
e = 150 x 0.060 x 3.14 x 0.025 x 0.025 x 2 x 3.14 x 7.33
e = 0.81 V
B.
The back emf is given by
e' = 2e / π = 2 x 0.81 / 3.14 = 0.52 V