You work for a company that specializes in electron beam-impact deposition. This apparatus uses a tightly focused electron beam to deposit atoms on a surface with very fine spatial resolution. You are given the job of calculating the maximum possible deflection of the electron beam when the random magnetic fields in the laboratory are reduced (by shielding) to a maximum value of 0.15 mGauss. The electrons are accelerated from rest through 20 kV and the path length is 3.6 cm. If the magnetic fields were later discovered to be twice as large, what modified path length would yield the same deflection as you originally calculated

If forces acting on an object are unbalanced, which factors may result fron an unbalanced force? check all that apply

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒

3. a lunar exploration vehicle was created by a research team. it weighs 3,000 kg on the earth. it needs an acceleration of 10 m/s2 on the moon. in order to have the same acceleration, what will be the net force acting on the vehicle on the earth?