Answer:
Explanation:
A proton and electron are moving in the positive x direction, this shows that their velocity will be in the positive x direction
V = v•i
Magnetic field Is the positive z direction
B = B•k
A. For proton.
Proton has a positive charge of q
Direction of force on proton
Force is given as
F = q(v×B)
F = q( v•i × B•k)
F = qvB (i×k)
From vectors i×k = -j
F = -qvB •j
Then, for the positive charge, the force will act in the negative direction of the y-axis
B. For electron
Electron has a negative of -q
Direction of force on proton
Force is given as
F = q(v×B)
F = -q( v•i × B•k)
F = -qvB (i×k)
From vectors i×k = -j
F = --qvB •j
F = qvB •j
Then, for the negative charge, the force will act in the positive direction of the y-axis
Answer:
a) 
b) 
c) 
d) 
e)
&
f) 
Explanation:
From the question we are told that:
Stretch Length 
Mass 
Total stretch length
a)
Generally the equation for Force F on the spring is mathematically given by


b)Generally the equation for Max Velocity of Mass on the spring is mathematically given by

Where
A=Amplitude

And

Therefore


c)
Generally the equation for Max Acceleration of Mass on the spring is mathematically given by



d)
Generally the equation for Total mechanical energy of Mass on the spring is mathematically given by



e)
Generally the equation for the period T is mathematically given by



Generally the equation for the Frequency is mathematically given by


f)
Generally the Equation of time-dependent vertical position of the mass is mathematically given by

Where
'= signify order of differentiation
This behavior helps Betty in <u>intellectual </u>development.