_dThe radius of curvature of a subatomic particle under a magnetic field is given by the following formula:

Where:

We can determine the quotient between the velocity and the charge of the deuteron particle from the formula. First, we divide both sides by the mass:

Now, we multiply both sides by the magnetic field "B":

Since the charge of the deuterion is the same as the charge of the proton and the velocity we are considering are the same this means that the quotient between velocity and charge is the same for both particles. Therefore, we can apply the formula for the radius again, this time for the proton:

And substitute the quotient between velocity and charge:

Now, we cancel out the magnetic field:

Now, we substitute the values:

Solving the operations:

Therefore, the radius is 19.3 cm.
Given:
Shaft Power, P = 7.46 kW = 7460 W
Speed, N = 1200 rpm
Shearing stress of shaft,
= 30 MPa
Shearing stress of key,
= 240 MPa
width of key, w = 
d is shaft diameter
Solution:
Torque, T = 
where,

= 59.365 N-m
Now,


d = 0.0216 m
Now,
w =
=
= 5.4 mm
Now, for shear stress in key
= 
we know that
T =
= F. 
⇒
= 
⇒
= 
length of the rectangular key, l = 4.078 mm
Answer:
a) The work done by a nonconservative force depends on the path taken. True.
c) A potential energy function can be specified for a conservative force. True
d) A conservative force permits a two-way conversion between kinetic and potential energies. True
Explanation:
Non-conservative forces dissipate. For example, friction or air resistance or drag.
A conservative force's property is that the work done in moving a particle does not depend on the path it has taken. For example, stored energy or potential energy. It permits two-way conversion between kinetic energy and potential energy. For example if a car goes up a hill, it converted kinetic energy in to potential energy. and if the car goes down the hill without hitting the gas pedal, it will roll down converting the potential energy in to kinetic energy.
b) A nonconservative force permits a two-way conversion between kinetic and potential energies. False
e) A potential energy function can be specified for a nonconservative force. False
f) The work done by a conservative force depends on the path taken. False