A 70.0-g block carrying a charge Q = 31.0 µC is connected to a spring for which k = 72.0 N / m. The block lies on a horizontal frictionless surface and is immersed in a uniform electric field of magnitude E = 4.64 ✕ 104 N / C directed as shown in the following figure. The block is released from rest when the spring is not stretched (x = 0). (a) By what maximum distance (in cm) does the block move from its initial position? (b) Determine (in cm) the rear equilibrium position of the block and the range of its motion. (Indicate the address with the sign of your answer.) (c) Using conservation of energy, find a symbolic relationship that gives the potential difference between your initial position and the point of maximum extension in terms of the spring constant k, the amplitude A, and the charge Q.

Q: The velocity of a particle (m = 10 mg, q = - 4.0 µC) at t = 0 is 20 m/s in the positive x-direction.…

A: Answer:20m/s Options are incorrect.

Q: A small, rigid object carries positive and negative 4.00 BC charges. It is oriented so that the…

A: Given that, A rigid object consists of positive and negative charge the magnitude of positive and…

Q: A spring with an unstrained length of 0.074 m and a spring constant of 2.1 N/m hangs vertically…

A: Step 1: Step 2: Step 3: Step 4:

Q: A molecule of DNA (deoxyribonucleic acid) is 2.18 ?m long. The ends of the molecule become singly…

A: Write the given values with suitable variables. L=2.18 μm=2.18×10-6 mΔL=1.30%L=1.301002.18×10-6…

Q: Each plate of a parallel-plate air-filled capacitor has an area of 0.3 m², and the separation of the…

A: Given data:  Area of parallel plates A = 0.3 m2   Seperation between plates d = 3 mm  Electric field…

Q: Identical 53 µC charges are fixed on an x axis at x = + 2.7 m. A particle of charge q = - 19 µC is…

A: Point A,B are where Charge Q is present  At point C, kinetic energy is KE ,  D is point where…

Q: Write an expression for the magnitude of the electric field due to the charge distribution on the…

A:

Q: An electron with a speed of v=10×107 m/s enters an electric field of magnitude E=1×103 N/C,…

A:

Q: An electric dipole consisting of charges of magnitude 1.80 nC separated by 6.90 um is in an electric…

A:

Q: A water droplet of mass 43.5 x10-12 kg is located in the air near the ground during a stormy day. An…

A:

Q: A uniform electric field of magnitude 9 x 10° N/C pointing upward is created between two parallel…

A: Given Data : The electric field is given as E=9×103 NC The distance between the two plates is given…

Q: Identical 56 µC charges are fixed on an x axis at x = ±2.5 m. A particle of charge q = -15 µC is…

A: (a) The potential at y=4.5 m due to the charges on the x axis is: Vy = 2(kQ/r) = 2kQx2+y2=2(9 x…

Q: The ink drops have a mass mmm = 1.00×10−11 kg each and leave the nozzle and travel horizontally…

A: Given: Mass of ink drop=1.00×10−11 kg velocity (v)= 15.0 m/s Length of parallel deflecting plates…

Q: An insulating sphere has a positive charge of +1.50x10-9C uniformly spread throughout its volume.…

A: charge (Q) spread throughout insulating sphere= 1.50×10-9 C q = -2.3×10-6 Cmass (m) = 1.40×10-4 kg…

Q: A small sphere with mass 9.00 ug and charge -4.30 μC is moving in a circular orbit around a…

A:

Q: A proton with a kinetic energy of 1.98 keV (1eV=1.602·10-19J), that is at height 23.2 cm above a…

A:

Q: The drawing shows an electron entering the lower left side of a parallel plate capacitor and exiting…

A:

Q: A particle of charge +9.1 μC is released from rest at the point x = 53 cm on an x axis. The particle…

A: Given: The charge of the particle is 9.1 μC or 9.1×10-6 C.             The initial distance of the…

Q: 1.53 A particle with charge q=3 μC and mass 0.015 kg is tied to a non- conductive thread of length L…

A: This situation is quite similar like a simple pendulum:The final displacement of the charged…

Q: A particle with charge q = +4e and mass m = 6.47 * 10^-26 kg is injected horizontally with a speed…

A: The objective of the question is to find out the time it takes for the particle to pass through the…

Q: An electric dipole consisting of charges of magnitude 2.70 nC separated by 6.50 µm is in an electric…

A:

Q: A particle of charge q is fixed at point P, and a second particle of mass m and the same charge q is…

A:

Q: Three 8.0μ C charges are at the three corners of an square of side 0.10 m. The last corner is…

A: side, d = 0.10 m charge, q = 8.0 uC q'=- 8.0 uC

Q: The velocity of a particle (m = 10 mg, q = - 4.0 uC) at t = 0 is 20 m/s in the positive x-direction.…

A:

Q: A spring with an unstrained length of 0.074 m and a spring constant of 2.4 N/m hangs vertically…

A:

Q: A spring with an unstrained length of 0.068 m and a spring constant of 2.3 N/m hangs vertically…

A: Ans:- Image-1

Q: passes through the point x 0, y 4.4 m. (a) What is the kinetic energy of the particle as it passes…

A:

Q: Two particles with the same mass, 70.0 g, are released from rest in space with an initial distance…

A: Given, both particles have same mass  i.e. 70 g or 70 x 10-3 kg  so from conservation of momentum we…

Q: The drawing shows an electron entering the lower left side of a parallel plate capacitor and exiting…

A:

Q: A particle of charge +9.5 µC is released from rest at the point x = 62 cm on an x axis. The particle…

A:

Q: A particle of charge 7.5 mC is released from rest at the point x 60 cm on an x axis.The particle…

A: When Q= 20mC

Q: An electron, starting from rest, is accelerated by a uniform electric field of 9.00 × 104 N/C that…

A: Please see the attached image for the solution.If there are queries or if the image is not loading,…

Q: The plates of a parallel plate capacitor are 3.28mm apart, and have an area of 12.2cm². Each plate…

A:

Q: What must the charge (sign and magnitude) of a 3.45 gg particle be for it to remain stationary when…

A:

Q: A positive point charge q1= +4.00 x10^-4 C is held fixed at the origin. A small object with negative…

A:

Q: An electron is placed in a uniform electric field of 32nN/C directed north created by two horizontal…

A: Given: Electric field, E=32 nN/C=32x10-9 N/C. The plates are at a distance, d=131 fm=131x10-15 m.…

Q: The charge q = =D1.6 X 10-19 n3D1.7 X 10-27 kg, potential C, mass m 3D difference (voltage) = 1…

A: The change in potential energy of the charge particle with charge q when it goes potential…

Q: A proton is projected in the positive x direction into a region of a uniform electric field E= -3.00…

A: Explanation and solution shown in the picture below ?

Q: In Rutherford's famous scattering experiments (which led to the planetary model of the atom), alpha…

A: charge on Alpha Particle=+2e Charge of gold nucleus= +79e Speed at which alpha particle was fire=…

Q: Two charges one negative and one positive with strength Q1 3.6m apart. P is located x distance from…

A:

Q: Two identical point loads are aligned horizontally. The load on the right is attached to a support…

A: Given, Distance between charges (r)= 50cm  Charges on loads (q)= 1µC  Mass of loads (m) = 2g = 0.002…

Q: A proton is projected horizontally midway between two parallel plates that are separated by 0.47 cm.…

A: Given Data:Separation of the plates Magnitude of electric field Length of the plates It is known…

Q: A molecule of DNA (deoxyribonucleic acid) is 2.17⁢μm long. The ends of the molecule become singly…

A: Length (L) = 2.17 μm compression = 1 % upon being charged magnitude of charge on each end of…

Q: A proton with a kinetic energy of 1.63 keV (1eV=1.602-10-¹J), that is at height 24.9 cm above a…

A: Let the charge density on the plate be   σ=-3.60μC/m2 Charge of the proton = q = 1.602 * 10-19C…

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.