Given 80−kg bowling ball with a radius of gyration kG = 0.25 m is subjected to a couple moment of M = 50 Nm. Determine the angular acceleration considering that the coefficients of static and kinetic friction between the ground and the ball are 0.2 and 1.5, respectively. Also, check whether the ball slips or not.
The following system contains bag A, block B, and a double pulley with a mass of 14 kg and a centroidal radius of gyration of 165 mm. The coefficient of kinetic friction between the block and the surface is 0.25. The system is suddenly released from the rest in the shown position, determine the velocity of the bag A when it strikes the ground. 11.5 kg ≈ 900 mm
The force shown in the Figure below acts on a 1.7−kg object whose initial speed is 0.55 m/s and initial position is x = 0.27 m. Find the speed of the object when it is at the location x = 0.99 m.
Two children are sitting on a board that is lifted by their parents, as shown in the figure. The board has a mass of 7.92 kg and is 2.62 m long and uniform. The younger boy and older boy have masses 8.36 kg and 24.4 kg and sit at 0.93 m and 1.7 m from the left, respectively. (Note: The force arrows shown in the figure may not include all the forces. You should make sure that you identify all involved forces and where they are applied.) (a) Is the total force applied to the board zero? Y/N Is the total torque applied to the board zero? Y/N ( 4 pts - Include your answers in the scanned/submitted work) (b) Find the magnitude of forces F1 and F2. Include the answer of F2 in the scanned/submitted work, and enter the answer of F1 below. (10 pts each; 20 pts total)
To give a 11−Kg child a ride, two teenagers pull on a 3.7−Kg sled with ropes, as indicated in the figure below. Both teenagers pull with a force of 55 N at an angle of 35∘ relative to the forward direction, which is the direction of motion. In addition, the snow exerts a retarding force on the sled that points opposite to the direction of motion and has a magnitude of 57 N. Calculate the acceleration of the sled and child.
A 69.0-kg skier coasts up a snow-covered hill that makes an angle of 29.9∘ with the horizontal. The initial speed of the skier is 8.56 m/s. After coasting a distance of 2.24 m up the slope, the speed of the skier is 3.16 m/s. (a) Find the work done by the kinetic frictional force that acts on the skis. (b) What is the magnitude of the kinetic frictional force? (a) Number Units (b) Number Units
A plane moving at constant horizontal velocity, v0 = 87 m/s at some altitude, h, drops a package time t = 0. The package follows the parabolic path shown in the figure and lands on the ground at a distance Δx = 696 m from the launch point. How long does it take for the package to reach the ground?
Driving in your car with a constant speed of 12 m/s, you encounter a bump in the road that has a circular cross section, as indicated in the figure below. If the radius of curvature of the bump is 35 m, find the apparent weight of a 67−Kg person in your car as you pass over the top of the bump.
Two masses are connected by a string as shown in the figure. Mass mA = 3.8 kg rests on a frictionless inclined plane, while mB = 4.9 kg is initially held at a height of h = 0.60 m above the floor. (Figure 1) Figure 1 of 1 Part A If mB is allowed to fall, what will be the resulting acceleration of the masses? Express your answer to two significant figures and include the appropriate units. a = Value Units Units Submit Request Answer Part B If the masses were initially at rest, use the kinematic equations to find their velocity just before mB hits the floor. Express your answer to two significant figures and include the appropriate units. Submit Request Answer
Consider the figure above. Take d = 4.70 m, q = 1.40×10−3 C, and v′ = v = 10.0 m/s. (a) Determine q′ if the net magnetic field at P is zero. Preview C (b) Determine the magnitude of the the net magnetic field at P if q′ = 2q. Preview T (c) Determine the direction of the net magnetic field at P if q′ = 2q. Upward Downward Rightward Leftward Into the page Out of the page None of the above
Three charges are located as shown in the figure below. Charge Q1 = 3×10−9 C is located at the origin [0; 0] m Charge Q2 = −8×10−9 C is located at [4; 0] m Charge Q3 = 5×10−9 C is located at [4; 5]m The point ' P ' is located at [0; 5] m. a. [5 points] Find the electric potential due to Q1 at point P V1 = [V] b. [5 points] Find the electric potential due to Q2 at point P V2 = [V] c. [5 points] Find the electric potential due to Q3 at point P V3 = [V] d. [5 points] Find the electric potential energy between Q1 and Q3 U13 = [J]
A −8.3 μC charge is located at the origin and moving with velocity 5200 i^ m/s. Point P is 0.75 m away from the charge along a direction 26.6 above the x-axis. Point Q is 0.75 m away from the charge along a direction 26.6 below the x-axis. (The +z-axis points out of the page.) The magnetic field at point P is (i^ + j^ + k^). The magnetic field at point Q is ( i^ + j^ + k^).
A +6.1 μC charge is located at the origin and moving with velocity 5450 k^ m/s. Point P is 0.25 m away from the charge along the (−x)-axis. Point Q is also 0.25 m away from the charge, but along a direction that is 45∘ below the (−x)-axis. What is the magnitude of the magnetic field at Point P? Enter the magnetic field at point P in vector form: The magnetic field at point P is i^ + j^). What is the magnitude of the magnetic field at Point Q? Enter the magnetic field at point Q in vector form: The magnetic field at point Q is ( i^ + j^).
A projectile is launched of the top of a tower with an initial velocity of 70 [m/s] at an angle of 37 degrees with respect to the horizontal axis. The tower is 30 [m], meaning the projectile is launched at a height of 30 [m] above the ground. To simplify the math in the problem use: g = 10 m/s2 sin(37degrees) = 0.6 cos(37degrees) = 0.8 See figure below: What is the maximum height achieved by the projectile as measured from the ground? 118.2 [m] 188.2 [m] 144.1 [m] 88.2 [m] 44.1 [m]
An electric charge in a certain material is quantified over a time period from 0 to 70 ms as shown in Fig. 1. Find and draw the resulted electric current from this charge? Does it represent a DC or AC current? Justify your answer? Fig. 1
The floor of an airplane cargo bay is shown in a horizontal position. Take the value of P to be 1150 N. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Problem 04.089.b - Resultant Force and Moment of a System of Forces Determine an equivalent force system consisting of a single force, and specify the x and z coordinates of the point where the force's line of action intersects the floor. (Include a minus sign if required. ) The resultant force in the x direction of the equivalent force system consisting of a single force is N. The resultant force in the y direction of the equivalent force system consisting of a single force is N. The resultant force in the z direction of the equivalent force system consisting of a single force is N. The x coordinate of the point where the force's line of action intersects the floor is m. The z coordinate of the point where the force's line of action intersects the floor is m. (Round the final answer to four decimal places.)
A woman pushes a box against a wall by exerting a force F→, and the box remains at rest, as shown. Which of the following is the correct free body diagram for the box? (n→ = normal force, w→ = weight, f→s = static friction, f→k = kinetic friction)
(a) A spider hangs motionless from a single vertical strand of spiderweb. Calculate the tension (in N) in the vertical spiderweb if the spider has a mass of 7.00×10−5 kg. τvertical = N (b) Now, the same spider sits motionless in the middle of a (nearly) horizontal strand of spiderweb, as shown in the figure below. The strand sags at an angle of 14.0∘ below the horizontal. Calculate the tension (in N ) in this (nearly) horizontal strand. Tnew = N Compare this with the tension in the vertical strand that you found in part (a) (find their ratio). Tnew Tvertical =
A 2000−kg automobile starts from rest at point A on a 6∘ incline and coasts through a distance of 50 m to point B. The brakes are then applied, causing the automobile to come to a stop at point C, 20 m from B. Knowing that slipping is impending during the braking period and neglecting air resistance and rolling resistance, determine the speed of the automobile at point B. The speed of the automobile at point B is m/s. Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
(a) What is the potential generated by these two charges at a point p1? Assume that the potential propagates through an aqueous medium where the dielectric constant is 80 . volts (b) What is the potential at point p2? volts (c) If the potential can be monitored at two points simultaneously, what is the potential difference Vp2 - Vp1? volts (d) What is the potential difference Vp2 - Vp1 generated by 3 million cells side-by-side? In millivolts mV (e) What would the answer to d) be, if the electrodes were reversed so the potential being monitored is Vp1 − Vp2? In millivolts mV
(a) A spider hangs motionless from a single vertical strand of spiderweb. Calculate the tension (in N) in the vertical spiderweb if the spider has a mass of 9.00×10−5 kg. Tvertical = N (b) Now, the same spider sits motionless in the middle of a (nearly) horizontal strand of spiderweb, as shown in the figure below. The strand sags at an angle of 13.0∘ below the horizontal. Calculate the tension (in N) in this (nearly) horizontal strand. Tnew = N Compare this with the tension in the vertical strand that you found in part (a) (find their ratio). Tnew Tvertical =
In the figure below, a constant external force P = 160 N is applied to a 20−kg box, which is on a rough horizontal surface. The force pushes the box a distance of 8.0 m, in a time interval of 4.0 s, and the speed changes from v1 = 0.5 m/s to v2 = 2.6 m/s. What is the work done on the box by friction? Express your answer in joules.
Light with a wavelength of 5.50×10−7 m is incident on two parallel slits separated by 5.00×10−6 m. The inference pattern is cast on a screen a distance L from the slit. On the screen, the linear distance between the n = 5 dark fringe and the central bright fringe is 0.500 m. What is the distance L? 0.658 m 0.776 m 1.038 m 1.010 m 0.878 m
At noon, person A is 1 miles east of person B. Person A is walking east at 4 miles per hour and person B is walking north at 7 miles per hour. (You can click on the graphic to enlarge the image.) How fast is the distance between the people changing at 2 PM ? Answer: miles/hr.
(a) A spider hangs motionless from a single vertical strand of spiderweb. Calculate the tension (in N) in the vertical spiderweb if the spider has a mass of 7.00×10−5 kg. Tvertical = N (b) Now, the same spider sits motionless in the middle of a (nearly) horizontal strand of spiderweb, as shown in the figure below. The strand sags at an angle of 12.0∘ below the horizontal. Calculate the tension (in N) in this (nearly) horizontal strand. Tnew = N Compare this with the tension in the vertical strand that you found in part (a) (find their ratio). Tnew Tvertical =
A baseball pitching machine "throws" baseballs with a horizontal velocity v0. Know that height h varies between 722 mm and 1102 mm. Determine the values of a corresponding to h = 722 mm and h = 1102 mm. The value of a corresponding to h = 722 is ∘. The value of a corresponding to h = 1102 is ∘. Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
You set up two speakers 5 m apart, as shown in the figure. Both speakers emit sound at a frequency of 170 Hz. You are initially standing 1 m to the left of the leftmost speaker (see figure) at point A. At this point, what kind of interference do you experience? Take the speed of sound to be 340 m/s. constructive destructive neither constructive nor destructive QUESTION 8 If you walk 2.15 m in a direction transverse to the axis connecting the two speakers (see the figure) to point B. What type of interference do you experience at this point? constructive destructive neither constructive nor destructive
The force acting on a 2 kg object as a function of position is shown below. If the object has a speed of 2 m/s at x1 = 5 m, what is the speed of the particle when it is at x2 = 15 m? a. 6.4 m/s b. 5.8 m/s c. 3.6 m/s d. 2.0 m/s e. 1.9 m/s
The tank of liquid in the figure below accelerates to the right with the fluid in rigid-body motion. (a) Choose the acceleration of gravity and the density of the glycerin from reliable references, and cite your reference. (b) Compute ay in m/s2. (c) Determine the gage pressure at point A if the fluid is glycerin at 20∘C.
The 15 kg block in the figure slides down a ramp with the coefficient of kinetic friction of 0.1. The angle of incline with respect to horizontal is 50∘ (see figure). The 4 kg block hangs from the same rope and is accelerating upwards. The pulley is frictionless and has no mass. Find: (a) the magnitude of the tension (in N) in the rope; (b) the magnitude of the normal force (in N) acting on the 15 kg block; (c) the magnitude of the friction force (in N) between the ramp and 15 kg block; (d) the magnitude of the acceleration (in m/s2 ) of the 15 kg block.
Three carts (1, 2 and 3 from left to right) with masses m1 = 6.5 kg, m2 = 2.6 kg and m3 = 1.5 kg are on a frictionless surface as in the figure below. Cart 1 is initially moving to the right at speed v0 = 3.9 m/s, while carts 2 and 3 are initially at rest. Cart 1 hits carts 2 , and after this first collision, cart 2 (now moving to the right) eventually hits cart 3 . All collisions are perfectly elastic. What is the final speed of cart 3? a. 4.95 m/s b. 6.34 m/s c. 3.53 m/s d. 7.07 m/s e. 1.77 m/s
An estimated force-time curve for a baseball struck by a bat is shown in the figure below. Let Fmax = 19,000 N, ta = 0.5 ms, and tb = 2 ms. From this curve, determine the following. (a) the magnitude of the impulse delivered to the ball N⋅s (b) the average force exerted on the ball kN
Blocks A and B each have a mass m = 12 kg. The coefficient of static friction between A and B is μs = 0.26. The angle shown is θ = 41∘. Neglect any friction between B and C. Determine the largest horizontal force P→ that can be applied so that A will not slip on B. P→ = number (rtol = 0.05, atol = 1 e−08) N
Two cars travel at constant speeds through a curved portion of highway. If the front ends of both cars cross line CC at the same instant, and each driver minimizes his or her time in the curve, determine the distance o¯ which the second car has yet to go along its own path to reach line DD at the instant the first car reaches there. The maximum horizontal acceleration for car A is 0.62 g and that for car B is 0.70 g.
The 7 kg box-A released from rest and moved along the frictionless curved path and then moved along the rough linear path from C to D. When the box-A hits the box-B having a mass of 3 kg, plastic impact occurs. After the impact, determine the total distance that the box-B travels in meters. Circular path is frictionless. Horizontal surface has a coefficient of kinetic friction μk = 0.25. Ignore the dimension of the boxes. (g = 10 m/s2) Note: Please answer with 3 digits after the comma!
(a) Calculate the tension (in N) in a vertical strand of spiderweb if a spider of mass 8.00×10−5 kg hangs motionless on it. N (b) Calculate the tension (in N) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure. The strand sags at an angle of 11.0∘ below the horizontal. N Compare this with the tension in the vertical strand (find their ratio). tension in horizontal strand tension in horizontal strand =
The figure shows a closed Gaussian surface in the shape of a cube of edge length 3.30 m. It lies in a region where the electric field is given by E→ = (3.49x + 2.35) i^ + 7.65 j^ + 8.82 k^ N/C, with x in meters. What is the net charge contained by the cube?
Charge Q = 11 μC is distributed uniformly throughout a spherical insulating shell of inner radius R1 = 100 mm and outer radius R2 = 110 mm. The net electric flux through the inner surface of the shell is Nm2 C
A charged particle causes an electric flux of −2500 N⋅m2 C to pass through a spherical Gaussian surface of radius R centered on the charge. What is the charge of the particle? C
Two long, charged, thin-walled, concentric cylindrical shells have radii of 2.9 and 4.4 cm. The charge per unit length is 7.0×10−6 C/m on the inner shell and −9.8×10−6 C/m on the outer shell. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 3.5 cm? What are (c) E and (d) the direction at r = 8.1 cm? (a) Number Units (b) (c) Number Units (d)
A long, nonconducting, solid cylinder of radius 5.7 cm has a nonuniform volume charge density ρ that is a function of radial distance r from the cylinder axis: ρ = Ar2. For A = 2.7 μC/m5, what is the magnitude of the electric field at (a) r = 1.6 cm and (b) r = 9.5 cm. (a) Number Units (b) Number Units
A long, nonconducting, solid cylinder of radius R = 5.20 cm has a non-uniform volume charge density ρ that is a function of radial distance r from the cylinder axis: ρ = Ar (r ≤ R). For A = 1060 nC/m4, what is the magnitude of the electric field at x = 15.0 cm from the cylinder axis? N/C
A long, nonconducting, solid cylinder of radius R has a nonuniform volume charge density ρ that is a function of radial distance r from the cylinder axis: ρ = Ar2, where A is a constant with the appropriate units. NOTE: Express your answers in terms of the given variables, using ϵ0 when needed. (a) Determine the magnitude of the electric field at radius r, where r < R. Ea = (b) Determine the magnitude of the electric field at radius r, where r > R. Eb =
When is the electric flux on a section of a closed surface positive? When the electric field pierces outward through the section. When the electric field pierces inward through the section. When the electric field is tangent to the section.
Which describes Gauss' law? It relates the electric field piercing through a section of a closed surface to the net charge enclosed by the surface. It relates the net flux through a closed surface to the net charge enclosed by the surface. It relates the net flux through a closed surface to the electric field piercing through a section of the surface.
Which describes the electric field lines outside a positively charged flat metal surface? They extend directly away from the surface. They run parallel to the surface. They extend directly toward the surface.
We bring a proton near a positively charged flat metal sheet. Which describes the surface charge density at the region on the sheet that is closest to the proton? The presence of the proton decreases the magnitude of the surface charge density. The presence of the proton increases the magnitude of the surface charge density. The presence of the proton has no effect on the surface charge density.
Which gives the linear charge density of a uniformly charged rod? It is the ratio of the charge to the length. It is the product of the length and the charge. It is the ratio of the length to the charge.
We place a closed Gaussian cylinder around a rod with uniform positive charge, coaxial with the rod. Then we pick a small region on the curved surface of the cylinder. Which describes the electric field there and the area vector of the small region? The vectors are in opposite directions. The vectors are in the same direction. The vectors are perpendicular.
Which describes the direction of the electric field outside a flat plastic sheet with uniform negative charge? The field vectors point directly toward the surface. The field vectors point parallel to the surface. The field vectors point directly away from the surface.
Which describes the electric field lines outside a flat plastic sheet with uniform positive charge? They extend directly toward the sheet. They extend directly away from the sheet. They run parallel to the sheet.
A Gaussian sphere is inside a ball of uniform positive charge, concentric with the ball. Which describes the electric field through the surface of the Gaussian sphere? The electric field is radially outward. The electric field is radially inward. The electric field is tangent to the surface.
A Gaussian sphere is inside a ball of uniform positive charge, concentric with the ball. Which describes the electric field vectors along the surface of the Gaussian sphere? The vectors are radially outward. The vectors are radially inward. The vectors are tangent to the surface.
A 10.0 μC charge is distributed uniformly throughout an insulating sphere of radius 10.0 cm. The magnitude of the electric field at a point 15.00 cm from the center is 9.5 MN/C. 3.6 MN/C. 6.2 MN/C. 0 MN/C. 4.0 MN/C.
A charged particle causes an electric flux of −2700.0 N⋅m2/C to pass through a spherical Gaussian surface of radius R centered on the charge. Another charged particle with equal charge is located R2 from the center of the sphere. The net electric flux through the sphere is N⋅m2/C.
The figure shows a closed Gaussian surface in the shape of a cube of edge length 13.0 cm. One corner of the cube is at the origin of the coordinate system shown. It lies in a region where the electric field is given by E→ = (1400.0 N/C)i^ + (2200.0 N/C)j^ + ((3600.0 + (1800.0 m−1)z) N/C)k^. What is the net charge contained by the cube? C
Two long, charged, thin-walled, concentric cylindrical shells have radii of ri = 3.0 cm and r0 = 6.0 cm. The charge per unit length is 5.0×10−6 C/m on the inner shell and −7.0×10−6 C/m on the outer shell. What is the electric field at a radius r = 8.0 cm ? Take the field to be positive if radially outward and negative if radially inward. 2.3×106 N/C. 4.5×105 N/C. −4.5×105 N/C. −2.3×106 N/C
Two long, charged, thin-walled, concentric cylindrical shells have radii of ri = 3.0 cm and r0 = 6.0 cm. The charge per unit length is 5.0×10−6 C/m on the inner shell and −7.0×10−6 C/m on the outer shell. What is the electric field at a radius r = 12 cm? Take the field to be positive if radially outward and negative if radially inward. 3.0×105 N/C. 1.8×106 N/C. −1.8×106 N/C. −3.0×105 N/C.
Charge is uniformly distributed throughout a spherical insulating volume of radius R = 4.00 cm. The charge per unit volume is 5.89 μC/m3. Find the magnitude of the electric field at r = 2.00 cm. Enter a positive number if the field points radially out and negative if the field points radially in. N/C
Charge Q = 15.0 μC is distributed uniformly throughout a spherical insulating shell of inner radius R1 = 100.0 mm and outer radius R2 = 110.0 mm. The net electric flux through the outer surface of the shell is i N⋅m2/C.
A long, nonconducting, solid cylinder of radius R = 5.40 cm has a non-uniform volume charge density ρ that is a function of radial distance r from the cylinder axis: ρ = Ar. For A = 1380 nC/m4, what is the magnitude of the electric field at r = 3.00 cm? N/C
A charge Q = 9.79 nC is located at the center of a Gaussian sphere of radius R = 10.0 cm. The sphere lies within a uniform upward electric field of magnitude E = 2100 N/C. The net electric flux through the sphere is N⋅m2/C.
A long, nonconducting, solid cylinder of radius R = 5.90 cm has a non-uniform volume charge density ρ that is a function of radial distance r from the cylinder axis: ρ = Ar (r ≤ R). For A = 1470 nC/m4, what is the magnitude of the electric field at x = 15.0 cm from the cylinder axis? N/C
Charge is uniformly distributed throughout a spherical insulating volume of radius R = 4.00 cm. The charge per unit volume is −9.02 μC/m3. Find the magnitude of the electric field at the center of the sphere. Enter a positive number if the field points radially out, negative if the field points radially in, or zero if there is no field. N/C
At each point on the surface of the cube shown in the figure the electric field is parallel to the y-axis. The length of each edge of the cube is 17.0 cm. On the right face of the cube the electric field is E→ = (1100.0 N/C)j^, and on the left face it is E′→ = (−2200.0 N/C)j^. Determine the net charge contained within the cube. C
50 μC of negative charge is placed on an insulating pith ball and lowered into an insulating plastic container, suspended from an insulating thread attached to the lid of the box. After the box is entirely sealed, the electric flux through the sides of the box is: 5.65×106 N⋅m2/C. 5.65×105 N⋅m2/C. −5.65×105 N⋅m2/C. Can't tell unless the dimensions of the box are given. −5.65×106 N⋅m2/C
The electric field in a particular space is E→ = ((1000.0 − 2300.0z) N/C)k^ with z in meters. Consider a cylindrical Gaussian surface of radius 12.0 cm that is coaxial with the z-axis. One end of the cylinder is at z = 0, and the other end of the cylinder is at z = 2.10 m. What is the net charge contained by the cylinder? C
Charge Q = 13.0 μC is distributed uniformly throughout a spherical insulating shell of inner radius R1 = 100.0 mm and outer radius R2 = 110.0 mm. The net electric flux through the inner surface of the shell is N⋅m2/C
A charged particle causes an electric flux of 2300.0 N⋅m2/C to pass through a spherical Gaussian surface of radius R centered on the charge. If the radius of the Gaussian surface were doubled, how much flux would pass through the surface? N⋅m2/C
A 3.15 cm radius hemisphere contains a total charge of 6.99×10−7 C. The flux through the rounded portion of the surface is 9.23×104 N⋅m2/C. The flux through the flat base is N⋅m2/C.
Two long, charged, thin-walled, concentric cylindrical shells have radii of ri = 3.0 cm and ro = 6.0 cm. The charge per unit length is −7.0×10−6 C/m on the inner shell and 5.0×10−6 C/m on the outer shell. What is the magnitude of the electric field at a radius r = 4.0 cm ? 3.1×106 N/C. 2.3×106 N/C. 7.9×107 N/C. −6.3×106 N/C.
In the figure, short sections of two very long parallel lines of charge are shown, fixed in place, separated by L = 100 cm. The uniform linear charge densities are +9.12 μC/m for line 1 and −2.33 μC/m for line 2 . Find the magnitude of the electric field at x = 0. Enter a positive number for an electric field that points to the right or a negative number for an electric field that points to the left. N/C
An infinite line of charge produces a field of magnitude 4.93×104 N/C at a distance of 2.81 m. Calculate the linear charge density. C/m
Charge is distributed uniformly along a long straight wire. The electric field 5.00 cm from the wire is 20.0 N/C, directed radially inward towards the axis of symmetry. The linear charge density on the wire is −5.56×10−11 C/m. −4.45×10−11 C/m. 5.56×10−11 C/m. 4.45×10−11 C/m
Charge is distributed uniformly along a long straight wire. The electric field 5.00 cm from the wire is 20.0 N/C, directed radially outward towards the axis of symmetry. The linear charge density on the wire is −4.45×10−11 C/m. 4.45×10−11 C/m. 5.56×10−11 C/m. −5.56×10−11 C/m
A charge q = 19.0 μC is located a distance d/2 directly above the center of a square of side d as shown below. What is the magnitude of the electric flux through the square? N⋅m2/C.
The figure represents a sphere of mass m = 2.0⋅10−3 kg and charge q = 3.72⋅10−7 C, in equilibrium on an inclined plane of 25∘. The sphere is attached to a spring with spring constant k = 1.57 N/m and is immersed in a uniform horizontal electric field, of magnitude E = 7.2⋅104 N/C. The coefficient of static friction between the sphere and the plane is μs = 0.40. Determine the maximum elongation of the spring for the sphere to be in equilibrium.
A cart filled with sand rolls at a speed of vcart = 1.4 m/s along a horizontal path without friction. A ball of mass m = 2.3 kg is thrown with a horizontal velocity of vball = 9.8 m/s toward the cart as shown in the figure below. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 11 kg. (Assume the positive x direction is to the right. Express your answer in vector form.) m/s