Answer:
The magnitude of the acceleration is 
The direction is
i.e the negative direction of the z-axis
Explanation:
From the question we are that
The mass of the particle 
The charge on the particle is 
The velocity is 
The the magnetic field is 
The charge experienced a force which is mathematically represented as

Substituting value



Note :

Now force is also mathematically represented as

Making a the subject

Substituting values



The square root of 80 is: 8.944
Answer:


Explanation:
When coefficient of friction is approximately zero then we have



here we know that

R = 30 m


now when friction coefficient is 0.30 then we have


now we have




Answer:
a) 2.41 km
b) 38.8°
Questions c and d are illegible.
Explanation:
We can express the displacements as vectors with origin on the point he started (0, 0).
When he traveled south he moved to (-3, 0).
When he moved east he moved to (-3, x)
The magnitude of the total displacement is found with Pythagoras theorem:
d^2 = dx^2 + dy^2
Rearranging:
dy^2 = d^2 - dx^2


The angle of the displacement vector is:
cos(a) = dx/d
a = arccos(dx/d)
a = arccos(3/3.85) = 38.8°