ANSWER

EXPLANATION
First, let us make a sketch of the question:
From the diagram:
=> black line represents North
=> green line represents East
=> blue line represents West
=> red line represents South
From the diagram, we see that at the end of his journey, he returns to his start point.
Since displacement is the measure of the change in the position of an object and the boy's position did not change after the journey, his displacement is:
Answer:
22m/s
Explanation:
Mass, m=60 kg
Force constant, k=1300N/m
Restoring force, Fx=6500 N
Average friction force, f=50 N
Length of barrel, l=5m
y=2.5 m
Initial velocity, u=0

Substitute the values

m
Work done due to friction force

We have 
Substitute the values


Initial kinetic energy, Ki=0
Initial gravitational energy,
\
Initial elastic potential energy


Final elastic energy,
Final kinetic energy, 
Final gravitational energy, 
Final gravitational energy, 
Using work-energy theorem

Substitute the values






Answer:
The magnitude of the magnetic force on the rod is 0.037 N.
Explanation:
The magnetic force is given by:

Since the charge (q) is:
Where<em> I</em> is the current = 1.40 A, and <em>t</em> the time
And the speed (v):
Where <em>L </em>is the tracks separation = 2.20 cm = 0.022 m
Hence, the magnetic force is:

Where <em>B </em>is the magnetic field = 1.20 T and <em>θ</em> is the angle between the tracks and the magnetic field = 90°

Therefore, the magnitude of the magnetic force on the rod is 0.037 N.
I hope it helps you!
Answer:
The probability is 0.2212
Solution:
As per the question:
Poisson rate, 
Now,
Let
X: time of waiting for the next vehicle on the highway
Now,
To find the probability of the next vehicle to arrive after 10 s
The probability distribution function is given by:

Now,
P(X < x) = 

For X> 0,
P(X > x) = 
P(X < 5) = 