In: Physics

In the figure below, a magnetic field of 0.6 Tesla points into the page. A particle of charge \(-12 n C\) and mass \(0.6 ? g\) is shot into the field as shown in the figure with a velocity of \(0.1 \mathrm{~km} / \mathrm{s} .\) What is the radius of the orbit (in meters)? (The radius is a positive quantity.) Be careful with the powers of 10. Hint: k=kilo, m=milli, ?=micro, \(n=\) nano and the SI units for B-field, charge, mass, length and time are: tesla (T), coulomb (C), kilogram (kg), meter (m) and second (s), respectively.

**For the conditions given in the previous question, the charge's actual trajectory is:**

A. a circle bending to the left

B. a parabola bending to the left

C. a circle bending to the right

D. a parabola bending to the right

(1) When the charge particle enters perpendicular to the magnetic field it follows a circular path. The centripetal force acting on the particle is equal to the force acting on the particle due to magnetic field. The centripetal force acting on the charge is, \(F_{\mathrm{c}}=\frac{m v^{2}}{r}\) The force acting on the particle due to magnetic field is, \(F_{\mathrm{b}}=q v B \sin 90^{\circ}\) $$ =q v B $$ The radius of the orbit is calculated as follows: $$ \begin{aligned} F_{\mathrm{b}} &=F_{\mathrm{c}} \\ q v B &=\frac{m v^{2}}{r} \\ r &=\frac{m v}{q B} \\ &=\frac{\left(0.6 \times 10^{-6} \mathrm{~g}\left(\frac{10^{-3} \mathrm{~kg}}{1 \mathrm{~g}}\right)\right)\left(0.1 \times 10^{3} \mathrm{~m} / \mathrm{s}\right)}{\left(12 \times 10^{-9} \mathrm{C}\right)(0.6 \mathrm{~T})} \\ &=8.333 \mathrm{~m} \end{aligned} $$

(2) The force acting on the negative charge is pointing towards the positive \(x\) axis. Hence, the trajectory is a circle bending to the right. Hence, the correct option is (c).

(1) =8.333

(2) the correct option is (c).

A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A. The toy car is released from rest, rolls 2.0 meters down the ramp, then another 3.0 meters across the floor to point B where its speed is measured to be 4.24 m/s. The air exerts a resistance force of 2.0 N on the car as it moves from A to B. Find the initial height of the car at...

In the Olympics, there are 8 swimmers in the final race. How many ways can the gold, silver, and bronze medals be distributed among the 8 contestants?

Halmar the Great has boasted to his hordes of followers that many a notorious villain has fallen to his awesome sword: His total of 650 victims consists of evil sorcerers, trolls, and orcs. These he has slain with a total of 700 mighty thrusts of his sword; evil sorcerers and trolls each requiring two thrusts (to the chest) and orcs each requiring one thrust (to the neck). When asked about the number of trolls he has slain, he replies, "I,...

A body of mass 2 kg initially at rest moves under the action of an applied horizontal force of 7 N on a table with the coefficient of kinetic friction = 0.1. Compute the following
(a) work done by the applied force in 10 s,
(b) work done by friction in 10 s,
(c) work done by the net force on the body in 10 s,
(d) change in kinetic energy of the body in 10 s,

What magnification will be produced by a lens of power –4.00 D (such as might be used to correct myopia) if an object is held 29 cm away?

Dissociation of phosphorus pentachloride \(\left(P C I_{5}\right)\) is favored by-
(i)High T, High P
(ii) High T, low P
(iii) Low T, Low P
(iv) Low \(T\), High P

The section of the annual report that is the report of the independent registered public accounting firm is often referred to as the
A. Auditor's Report
B. Management's discussion and Analysis of Financial condition and results of operations Report
C.Business Overview Report
D.Notes to Financial statements Report

A firms demand function for a good is given by P = 107-2Q and their total cost function is given by TC = 200+3Q .
i). Obtain an expression for total revenue profit in terms of Q
ii). For what values of Q does the firm break even.
iii). llustrate the answer to (ii) using sketches of the total cost function, the total revenue function and the profit function.
iv). From the graph estimate the maximum profit and the level...

Watch this video and then use the figure below to answer the questions.
Part A
Match each component of the electron transport chain with its description.
Drag the terms on the left to the appropriate blanks on the right to complete the sentences.

The demand function for a good is given as Q = 130-10P. Fixed costs associated with producing that good are €60 and each unit produced costs an extra €4.
i). Obtain an expression for total revenue and total costs in terms of Q
ii). For what values of Q does the firm break even
iii). Obtain an expression for profit in terms of Q and sketch its graph
iv). Use the graph to confirm your answer to (ii) and to...