Singly charged positive ions are kept on a circular orbit in a cyclotron. the magnetic field inside the cyclotron is 1.981 t. the mass of the ions is 3.67×10-26 kg, and speed of the ions is 2.75 percent of the speed of the light. what is the diameter of the orbit? (the speed of the light is 3.00×108 m/ m)

Therefore the diameter of the orbit is 1.91m

Explanation:

The path followed by the particle is a circle that keeps the relation given by

Re-arrange the equation for r,

From V is equal to speed of ions and there is a procent for this 'real speed' we have

Replacing in the previous equation,

Therefore the diameter of the orbit is 1.91m

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.