a uniform electric field of magnitude E = 4,368.37 N/C and direction shown in the figure below exists in a region of space what is the electric flux (in units of 10−3 NN2/C) through the square shown in the figure of side a = 5.50 mm such that the electric field makes an angle θ = 33.52∘ with the plane of the square
An initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1080 N. The coefficient of static friction between the box and the floor is 0.210. (a) What should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation? (a) Number Units (b) Number Units
In the figure below, the net external force on the 22 kg mower is given as 55 N. If the force of friction opposing the motion is 26 N, what force F (in N) is the person exerting on the mower? (Enter the magnitude.) N Suppose the mower is moving at 1.5 m/s when the force F is removed. How far (in m) will the mower go before stopping? m
As shown in the figure, blocks of masses m1 = 268.9 g and m2 = 598.5 g are attached by a massless string over a frictionless and massless pulley. The coefficients of static and kinetic friction between the block and inclined plane are 0.250 and 0.123, respectively. The angle of the incline is θ = 27.1∘, and the blocks are at rest initially. What is the acceleration of the blocks? [Answer with a negative number if m2 moves downward, and a positive number if it moves upward. ] Submit Answer Incorrect. Tries 1 /99 Previous Tries
A rocket is fired at a speed of 97.0 m/s from ground level, at an angle of 64.0∘ above the horizontal. The rocket is fired toward an 27.1-m high wall, which is located 16.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall? Number Units
A soccer player kicks the ball toward a goal that is 28.0 m in front of him. The ball leaves his foot at a speed of 17.5 m/s and an angle of 39.0∘ above the ground. Find the speed of the ball when the goalie catches it in front of the net. Number Units
The figure below shows two parallel, straight wires that are very long. The wires are separated by a distance of 0.0800 m and carry currents of I1 = 5.50 A and I2 = 8.00 A. Find the magnitude and direction of the force that the magnetic field of wire 1 applies to a 1.5−m section of wire 2 when the currents have (a) opposite and (b) the same directions. (a) (b) (a) Two long, parallel wires carrying currents I1 and I2 in opposite directions repel each other. (b) The wires attract each other when the currents are in the same direction. (a) Direction Number Units (b) Direction Number Units
A brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 880 N on him. The mass of the losing player plus equipment is 86 kg, and he is accelerating at 1.2 m/s2 backward. Randomized Variables f = 880 N m1 = 86 kg m2 = 104 kg a = 1.2 m/s2 Part (a) What is the magnitude of the force of friction, in newtons, between the losing player's feet and the grass as he slides backwards? F1 =
Consider a thin, spherical shell of radius 15.0 cm with a total charge of 32.8 μC distributed uniformly on its surface. (a) Find the electric field 10.0 cm from the center of the charge distribution. magnitude MN/C direction (b) Find the electric field 19.0 cm from the center of the charge distribution. magnitude MN/C direction
1&2) Eleven positive charges, q1, q2, … and q11 all of magnitude Q = 5 μC are arranged around a circle of radius, r = 3 mm as if they were the hours on a clock. What is the Electric field at point P? A) E→ = 2.5×104ȷ^NC B) E→ = 1.5×107ȷ^NC C) E→ = 1.65×108ȷ^NC D) E→ = 5.0×109ȷ^NC E) E→ = 5.5×1010ȷ^NCWhat is the Potential at point P? A) V = 2.5×104 JC B) V = 1.5×107 JC C) V = 1.65×108 JC D) V = 5.0×109 JC E) V = 5.5×1010 JC
Three charges of value q = 5.74×10−9 C, −2q, and +3q are placed at the corners of an equilateral triangle of side length a = 13.06 m as shown in the figure below. what is the x-component of the force on the charge q in nano-Newtons?
Part A What is the net electric force on charge B in (Figure 1)? Suppose that a = 1.8 cm and b = 0.70 cm. Express your answer to two significant figures and include the appropriate units. Enter negative value if the force is directed downward and positive value if the force is directed upward. Submit Request Answer Figure 1 of 1
(III) Three blocks on a frictionless horizontal surface are in contact with each other as shown in Fig. 4-54. A force F→ is applied to block A (mass mA). (a) Draw a free-body diagram for each block. Determine (b) the acceleration of the system (in terms of mA, mB, and mC), (c) the net force on each block, and (d) the force of contact that each block exerts on its neighbor. (e) If mA = mB = mC = 10.0 kg and F = 96.0 N, give numerical answers to (b), (c), and (d). Explain how your answers make sense intuitively.
A charge of 28.0 nC is placed in a uniform electric field that is directed vertically upward and that has a magnitude of 4.00×104 N/C. What work is done by the electric force when the charge moves You may want to review (Page). For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Work in a uniform electric field. Part A 0.550 m to the right; Submit Request Answer Part B 0.670 m upward; Submit Request Answer
Six point charges are arranged on a plane as shown in Fig. 2. The potential (V) of this arrangement is zero at infinite distance. The charges are as follows: q1 = 5.0q, q2 = −2.0q, q3 = −3.0q, q4 = +3.0q, q5 = −2.0q and q6 = +5.0q. Find the net electrostatic potential V at the central point P. Fig. 2
Determine the magnitude and angle of vector r in the Cartesian plane. (Angle is taken from the positive x-axis counter-clockwise.) u→ = [−1 2], v→ = [3 −1], r→ = 2u→ − v→ Magnitude = 5.83, Angle = 2.60 radians Magnitude = 5.83, Angle = 0.54 radians Magnitude = 7.07, Angle = π/4 radians Magnitude = 7.07, Angle = 3π/4 radians
An object that is 26 cm in front of a convex mirror has an image located 15 cm behind the mirror. How far behind the mirror is the image located when the object is 9.4 cm in front of the mirror? First object position Number Units
In the figure, light is incident at angle θ1 = 37∘ on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.28 n2 = 1.42, n3 = 1.34 and n4 = 1.47, what is the value of (a)θ5 and (b)θ4? (a) θ5 = Number i Units (b) θ4 = Number Units
In the figure below, where n1 = 1.94, n2 = 1.57, and n3 = 1.32, light refracts from material 1 into material 2. If it is incident at point A at the critical angle for the interface between materials 2 and 3, what are (a) the angle of refraction at point B and (b) the initial angle θ? If, instead, light is incident at B at the critical angle for the interface between materials 2 and 3, what are (c) the angle of refraction at point A and (d) the initial angle θ? If, instead of all that, light is incident at point A at Brewster's angle for the interface between materials 2 and 3, what are (e) the angle of refraction at point B and (f) the initial angle θ? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units
A ray of light incident on the interface between two transparent materials is completely reflected with no transmission, as shown in the figure. What is the most accurate description about the indices of refraction of these two materials? A. na = nb < 1 B. na > nb c. na < nb D. na = 1 and nb < 1 Ena = 1 and nb > 1
When an object is located very far away from a convex mirror, the image of the object is 24 cm behind the mirror. Determine where the image is located when the object is placed 9.9 cm in front of the mirror. Number Units
5- A 0.05-kg bullet is moving to the right with a speed of 450 m/s when it strikes a 20 kg box of sand that is also moving to right with a speed of 5 m/s. The kinetic coefficient of friction between the box and the horizontal surface is μk = 0.30. Determine the speed of the bullet-box unit when the bullet becomes embedded in the box of sand, and the distance that the unit moves before coming to rest.
A parallel-plate capacitor has charge of magnitude 8.40 μC on each plate and capacitance 2.40 μF when there is air between the plates. The plates are separated by 2.10 mm. With the charge on the plates kept constant, a dielectric with κ = 6 is inserted between the plates, completely filling the volume between the plates. (Enter the magnitudes.) (a) What is the potential difference between the plates of the capacitor (in V) before and after the dielectric has been inserted? before V after V (b) What is the electrical field at the point midway between the plates (in V/m) before and after the dielectric is inserted? before V/m after V/m
When a potential difference of 176 V is applied to the plates of a parallel-plate capacitor, the plates carry a surface charge density of 25.0 nC/cm2. What is the spacing between the plates? μm
An air-filled parallel-plate capacitor has plates of area 2.80 cm2 separated by 1.00 mm. The capacitor is connected to a 18.0−V battery. (a) Find the value of its capacitance. pF (b) What is the charge on the capacitor? pC (c) What is the magnitude of the uniform electric field between the plates? V/m
Two capacitors, C1 = 4.00 μF and C2 = 11.0 μF, are connected in parallel, and the resulting combination is connected to a 9.00-V battery. (a) Find the equivalent capacitance of the combination. μF (b) Find the potential difference across each capacitor. V1 = V V2 = V (c) Find the charge stored on each capacitor. Q1 = μC Q2 = μC
Two capacitors, C1 = 6.00 μF and C2 = 13.0 μF, are connected in parallel, and the resulting combination is connected to a 9.00−V battery. (a) Find the equivalent capacitance of the combination. μF (b) Find the potential difference across each capacitor. V1 = V V2 = V (c) Find the charge stored on each capacitor. Q1 = μC Q2 = μC
13-18. A 40-lb suitcase slides from rest 20 ft down the smooth ramp. Determine the point where it strikes the ground at C. How long does it take to go from A to C? 13-19. Solve Prob. 13-18 if the suitcase has an initial velocity down the ramp of vA = 10 ft/s and the coefficient of kinetic friction along AB is μk = 0.2. Probs. 13-18/19
A skier leaves the ramp of a ski jump with a velocity of 12.5 m/s, 14.1∘ above the horizontal. The slope below is inclined downwards at 53.8∘, and air resistance is negligible. 2.0p 4a Calculate the distance from the ramp to where the jumper lands (in meters). Answer
1. [12 pts] The diagram at the right shows two charged conducting objects, A and B, with electric field lines drawn as shown. The electric potential of the surface of B is 200 V and is -50 Volts on the surface of A. Explain your answers to the following questions: a. What are the sign of the charges on A and B? Explain. b. Draw representative equipotential lines in the region surrounding A and B. Label representative values of the electric potential on these equipotential surfaces. Explain your drawing.
31. ** Predict/Calculate The point charges in FIGURE 19−42 have the following values: q1 = +2.1 μC, q2 = +6.3 μC, q3 = −0.89 μC. (a) Given that the distance din Figure 19−42 is 4.35 cm, find the direction and magnitude of the net electrostatic force exerted on the point charge q1. (b) How would your answers to part (a) change if the distance d were doubled? Explain. FIGURE 19-42 Problems 31, 32, 46, and 55
Problem 2 - Graphing electric field The picture shows a -Q charge at the origin, on the x-axis, surrounded by a conducting spherical shell (which has a net charge that has to be determined). We will assume there are no other objects, charged or not, nearby. (a) What is the total charge on the inner surface of the conducting shell? Express your answer in terms of Q. Include a positive sign or a negative sign, as appropriate. qinner = (b) We want to know the total charge on the outer surface of the shell, too, but to find that out we need to give you more information. Note that Q = 4.0 nC, and the field on the x-axis at x = +6.0 cm is 3.0×104 V/m in the positive x -direction. What is the total charge on the outer surface of the conducting shell? Express your answer in terms of Q. Include a positive sign or a negative sign, as appropriate. (c) Calculate the field at x = +5 cm, in V/m, including the direction. |E| = (d) Calculate the field at x = +2 cm, including the direction. |E| = direction = (e) Plot the field as a function of x at points on the +x -axis. If the field is directed in the +x direction, plot it as positive. If the field is directed in the -x direction, plot it as negative.
A charge q = 2.2 μC is placed at the point P shown below. What is the force on q (in N)? (Assume the positive direction is to the right. Indicate the direction with the sign of your answer.) N
Given two particles with Q = 2.80−μC charges as shown in the figure below and a particle with charge q = 1.37×10−18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = ∞.) (a) What is the net force (in N) exerted by the two 2.80−μC charges on the charge q? (Enter the magnitude.) N (b) What is the electric field (in N/C) at the origin due to the two 2.80−μC particles? (Enter the magnitude.) N/C (c) What is the electrical potential (in kV) at the origin due to the two 2.80−μC particles? kV (d) What If? What would be the change in electric potential energy (in J) of the system if the charge q were moved a distance d = 0.400 m closer to either of the 2.80−μC particles? J
A point charge q = +42.0 μC moves from A to B separated by a distance d = 0.182 m in the presence of an external electric field E→ of magnitude 260 N/C directed toward the right as in the following figure. (a) Find the electric force exerted on the charge. magnitude N direction (b) Find the work done by the electric force. J (c) Find the change in the electric potential energy of the charge. J (d) Find the potential difference between A and B. vB−vA = v
Energy is transmitted at rate P1 by a wave of frequency f1 on a string under tension T1. (a) What is the ratio of the new energy transmission rate P2 to P1 if the tension is increased to 5.9T1 and (b) if, instead, the frequency is decreased to f2 = 0.74f1? (a) Number Units (b) Number Units
An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.1 km, but when the snow clears, he discovers that he actually traveled 8.2 km at 55∘ north of due east. (a) How far and (b) in what direction (south of due west) must he now travel to reach base camp? (a) Number Units (b) Number Units
A person on a road trip drives a car at different constant speeds over several legs of the trip. She drives for 40.0 min at 75.0 km/h, 17.0 min at 80.0 km/h, and 60.0 min at 60.0 km/h and spends 25.0 min eating lunch and buying gas. (a) What is the total distance traveled over the entire trip (in km)? km (b) What is the average speed for the entire trip (in km/h)? km/h
Over a time interval of 2.06 years, the velocity of a planet orbiting a distant star reverses direction, changing from +22.7 km/s to -22.1 km/s. Find (a) the total change in the planet's velocity (in m/s) and (b) its average acceleration (in m/s2) during this interval. Include the correct algebraic sign with your answers to convey the directions of the velocity and the acceleration. (a) Number Units (b) Number Units
A ship sets out to sail to a point 128 km due north. An unexpected storm blows the ship to a point 112 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination? (a) Number Units (b) Number Units
An airplane flies 200 km due west from city A to city B and then 345 km in the direction of 24.0∘ north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? km (b) Relative to city A, in what direction is city C? ∘ north of west (c) Why is the answer only approximately correct?
The 20-lb block B rests on the surface of a table shown in (Figure 1) for which the coefficient of kinetic friction is μk = 0.11. Assume WC = 6 lb. Figure 1 of 1 Part A Determine the speed of the 10-lb block A after it has moved downward 2 ft from rest. Neglect the mass of the pulleys and cords. Express your answer in feet per second to three significant figures. vA = ft/s? Submit Previous Answers Request Answer