The cost C (in dollars) for a company to produce and sell r thousand gadgets is given by C 2x + 5020 %3D 20 (a) What is the company's start-up cost? %24 (b) What is the minimum cost? %24 (c) How many gadgets must the company produce and sell in order to incur the least cost? (Be careful with your units!) gadgets

Q: A 7kg weight on a 1.8m rope. The weight makes 1 rev in 1 second. What is the centripetal acceleratio...

A: Given:- mass (m) = 7 kg length (r) = 1.8 m time (t) = 1 sec Number of revolutions (n) = 1 rev    

Q: Problem 2: a. An elliptically polarized plane wave traveling in the positive z-direction has electri...

A: a)The Poynting vector can be given by S→=E→×H→E→=10 sin(ωt-βz) i+15 sin(ωt-βz+45)from Maxwell's law∇...

Q: The length of a table is measured as 99 ±1 cm, 90 ± 0.06 cm and 96 ± 0.1 cm by students A, B and C. ...

A: length of table, measured by A = 99±1 cm  length of table, measured by B = 90±0.06 cm  length of tab...

Q: The weights of the blocks A and B are 250N and 125N respectively, H=0.4 A I10° µ=0.10 10° F 15° µ=0....

A: Consider the following diagram. Figure 1 is showing block A and figure 2 is showing block B.

Q: Starting from D'Alembert's principle, derive the differential equation of motion (in plane polar coo...

A: We know, D' Alembert's principle states that the external force is always equal to zero. Mathematica...

Q: With the help of a rope you want to drag a crate of mass equal to 150 Kg. The coefficient of kinetic...

A: Static friction is the force between an object and a surface, which acts against any moving object o...

Q: Two identical space probes, each of mass 2.00 x 10ʻ kg are "parked" in outer space. If they are sepa...

A: Given: The mass of each probe is m=2.00×104 kg. The distance between two probes is R=1.00 km. The d...

Q: Integrated Concepts(a) What is y for a proton having an energy of 1.00 TeV, produced by the Fermilab...

A:

Q: Sketch a qualitatively accurate graph of G vs. T for a pure substance as it changes from solid to li...

A:

Q: (a) What is the ratio of the strength of the gravitational force to that of the strong nuclear force...

A: Given information: Need to find the ratio between a gravitational field with other fields.

Q: A basketball player jumps as he shoots the ball. Describe the forces that are acting on the ball and...

A: Given: The force which are reacting on the ball and the basket player results are explained,  

Q: Sine and cosine have period 2π.

A:         Sine and cosine are periodic function with period  2π means the graphs repeat it value 2π un...

Q: Let G(u, v) = (3u + v, u - 2v). Use the Jacobian to determine the area of G(R) for: (a) R = [0, 3] x...

A: To find the Jacobian,  G(u,v)=(3u+v, u-2v)where, x=3u+vy=u-2vJ(G)=∂x∂u∂x∂v∂y∂u∂y∂v=∂x∂y∂u∂v-∂x∂y∂v∂u...

Q: In what frame(s) of reference are Kepler's laws valid? Are Kepler's laws purely descriptive, or do t...

A: Kepler laws are valid in non-inertial  inertial frame of reference is that frame that is non-acceler...

Q: A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g as shown7. With their cen...

A: Part (a) Given: The mass of tennis ball is m=57.0 g. The mass of basket ball is M=590 g. The height...

Q: Categorize each of the following constraints as either scleronomic and rheonomic. i. A simple pendul...

A: Given information: Several constraints are given to find which one is scleronomic and which one is r...

Q: Find the average value on the interval [2,5] of the function whose graph appears below. average valu...

A: In the given interval [2,5] we can see the the function has two segments. One is between [2,4] and s...

Q: A particle of mass m is projected upward with a velocity vo at an angle a to the horizontal in the u...

A: a) kinetic energy, T = 12mx˙2+y˙2 potential energy,  V = mgy so the lagrangian of the system,  L = T...

Q: If the interplanar spacing of NaCl is 2.814x10-1° m, what is the predicted angle at which X-rays of ...

A: Given Inter-planer spacing (d)      = 2.814×10-10 m Wavelength of X-rays λ    = 0.14 nm For first-or...

Q: A system consist of a point mass m=0.24 kg and a uniform solid cylinder of mass Mcylinder=2.16 kg an...

A: Given data, mass, m = 0.24 kg  mass of cylinder, Mcylinder  =2.16 kg radius, R = 0.47 m mass of rod,...

Q: A baseball is hit at a height h = 1.00 m and caught at the same height.  It travels along side a wal...

A: Given data, Horizontal distance D =62 m

Q: I don’t understand how to do these problems for this worksheet on kinematic of circular motion.

A: Given Data For 1 Radius R=76 m Speed v =1.8 m/s

Q: a company is installing a new ski lift on a 225m-high mountain that will ascend at 42 degree angle o...

A: The sky lift is at the height given as, h = 225 m The angle of elevation is given as, θ = 42o TO DET...

Q: Ale A worker lifts a 3000N box by pulling with a force of 300 N on the rope of a pulley system. The ...

A: Part-a Given: The weight of the box W = 3000 N. The force applied by the worker F = 300 N. The dist...

Q: In the figure, what is the direction of the electrostatic force on the electron due to the external ...

A: a) The direction of electric field starts from positive charge to negative charge, so the electrosta...

Q: Vector M of magnitude 4.8 m is at 60° counterclockwise from the +x-axis. It is added to vector N and...

A: given,M→=4.8m and θ=600let resultant vector be RR→=4.8m and θ=400so,component of vector M in both di...

Q: V m 1. An object of mass m is connected to a string of length 1, and set into motion around a vertic...

A: As the object is revolving around a vertical circle, a centripetal force F will act on the object, w...

Q: As seen in the figure below, conducting spheres with a = 2 cm, b = 4 cm radius are placed concentric...

A: To solve this question we will use the concepts of electric field and potential. Given, Radius of th...

Q: An electron is trapped in a region between two infinitely high energy barriers. In the region betwee...

A:

Q: Determine the current through the inductor, iL(t), in the circuit below. No energy is stored in the ...

A: Given: The applied current input consists of a 12 A step input. The circuit is as follows: Introduc...

Q: 2. How does the frequency of the harmonic oscillation change if we (i) double the mass, (ii) take a ...

A: Physical Argument : The frequency of the harmonic oscillation can be experimentally calculated using...

Q: A photon of wavelength 157nm strikes an aluminium surface along a lineperpendicular to the surface a...

A: λP=157 nm The energy of the photon is given by, E = Rydberg energy = 13.6 eV = 2.17 x 10-18 J The mo...

Q: 50. Find the center of mass of the sector of central angle 200 (sym- metric with respect to the y-ax...

A: Refer to following figure :    Let us consider a small element Rdθ and calculate its mass. ρ(x,y)=x...

Q: 3.0 eV photons excite atoms in a gas from their ground state to the n = 3 excited state. The atoms a...

A: The energy of the incident photon is 3.0eV. As the electron absorbs this energy, it gets excited to ...

Q: A diverging lens with a focal length -12.0 cm is to the left of a mirror with a focal 3) length of 2...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: A one-dimensional variable force in the x-direction is given as F(x) = 2 x 2.29i where Fis in newton...

A: The one-dimensional variable force is given as, F→x = 2x2.29i^ The mass of the object is given as, m...