Answer:

Explanation:
Since, Alex is at rest. Therefore, the speed measured by him will be the absolute speed of car P. Therefore, taking easterly direction as positive:
And the absolute velocity of Barbara's Car is given as:
Now, for the velocity of Car p with respect to the velocity of Barbara's Car can be given s follows:


Answer:
2.271386111 km/s
Explanation:
1321÷60hrs÷60mins×6.19s=2.27km
Answer:
The magnitude of the magnetic field at the origin is
.
Explanation:
Given :
50-A wire is in the x-z plane and is 5 m from the z axis.
Also , 40-A wire is in the y-z plane and is 4 m from the z axis.
Now , since both the wire are perpendicular to each other .
Therefore , magnetic field are also perpendicular to each other .
Magnetic field at origin due to wire 1 is :

Magnetic field at origin due to wire 2 is :

Now , therefore net magnetic field is :

Putting value of 
We get ,

Therefore, the magnitude of the magnetic field at the origin is
.
Answer:
I2 = 3.076 A
Explanation:
In order to calculate the current in the second loop, you take into account that the magnitude of the magnetic field at the center of the ring is given by the following formula:
(1)
I: current in the wire
R: radius of the wire
μo: magnetic permeability of vacuum = 4π*10^-7 T/A
In the case of the two wires with opposite currents and different radius, but in the same plane, you have that the magnitude of the magnetic field at the center of the rings is:
(2)
I1: current of the first ring = 8A
R1: radius of the first ring = 0.078m
I2: current of the second ring = ?
R2: radius of the first second = 0.03m
To find the values of the current of the second ring, which makes the magnitude of the magnetic field equal to zero, you solve the equation (2) for I2:

The current of the second ring is 3.076A and makes that the magntiude of the total magnetic field generated for both rings is equal to zero.
Answer
given,
initial velocity of the ball, u = 40 m/s
final velocity of the ball, v= -40 m/s
time of contact = 0.013 s
mass of the ball = 0.059 Kg
a) initial momentum
P₁ = m u = 0.059 x 40 = 2.36 kg.m/s
final momentum
P₂ = m v = 0.059 x (-40) = -2.36 kg.m/s
b) change in momentum
Δ P = P₂- P₁
Δ P = -2.36 - 2.36
Δ P = -4.72 kg.m/s
c) Average force
average force exerted by the ball is equal to change in momentum per unit time.


F = -363 N