Q: An airplane cruises at 880 km/h relative to the air. It is flying from Denver, Colorado, due west to…
A:
Q: find r(t) and v(t) given a(t) and the initial velocity and position. a(t) = (et, 2t,t + 1), v(0) =…
A: a→t=eti^+2tj^+t+1k^dv→tdt=eti^+2tj^+t+1k^dv→t=eti^+2tj^+t+1k^dtv→t=∫eti^+2tj^+t+1k^dt+Cwhere, C is…
Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a sin 40 and 2t, where a is…
A: Formula
Q: In using polar coordinates to describe plane polar motion the velocity is expressed as: O v = rd e,…
A:
Q: If you know that the polar coordinates of a particle are Acos(wt)=r cwt=0 find the velocity and…
A:
Q: X = a cos(wt) + b sin(wt) find The Position, spead and rotation time at a time of 2s if You Know…
A:
Q: but the arrow hits a poi Lorizontal displacement « be the initial inclination help: Sin20 = 2Sin0Co
A: Given: The initial speed of an arrow = 96 m/s The height = -47 cm ( since arrow hits downwards)
Q: In a one-dimensional motion, if the speed vs. time dependence is v(t)=2At, where v is in m/s, and t…
A:
Q: We calculated the range for a projectile that lands at the same elevation from which it is fired as…
A:
Q: . A sailor in a small boat encounters shifting winds. She sails 8 km suth, then 15 km 30° E of N,…
A:
Q: A projectile is fired from 3 meters height above level ground with an initial velocity equals to 20…
A: The position of the particle with respect to time is given as : r(t)=rcos(wt)i^+rsin(wt)j^ The…
Q: 5.106 A u component of velocity is given by u = is a constant. What is a possible v component? What…
A:
Q: ect to time; Find as a function of Ɵ, R, V, and the unit vectors (x^ , y^) in the x and y…
A:
Q: A particle travels in a circle of radius 10 m at a constant speed of 20 m/s. What is the magnitude…
A:
Q: A diver running 3.0 m/s dives out horizontally from the vertical cliff and 4.0 s later reaches the…
A: GivenVelocity of diver in horizontal direction ,vx=3.0 m/sTime taken ,t=4.0 s
Q: A car P travels along a straight road with a constant speed v = 61 mi/hr. At the instant when the…
A: v = 61 mi/hr θ = 68° l = 119' ṙ = ? θ˙ = ?
Q: speed for 108 seconds, afte 64.8 m until coming to a con se the graphical method to d-
A:
Q: An object leaves the ground at an angle of 20.0° above the horizontal axes and at a speed of 11.0…
A:
Q: maximum distance D up the incline, stopping momentarily. The distance D is
A: Given: Masss , M = 0.5 Kg Spring constant, K = 382 N/m Compression of spring , x = 0.25 m
Q: A boll rounds a 18 m radius curve. at 4 m/s. The magnitude of it's acceleration in m/s?
A:
Q: vector of is given by: The position moving point in Plane RCH)= t Costi t sint s Rind (a):: The…
A: Given Value, The position vector of moving point in a plane is:
Q: A particle travels along a helical path with arc length given as (cos2t, sin2t, √5 t), where t ∈…
A: The position vector of the particle at any time t is given as, (a) The particle’s velocity v(t) is…
Q: A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving…
A: (a)The range of the object is given by,Substitute the values,
Q: tting d = 3 ft and elease, the projectile exits the tube with a speed of 90 ft/s. 7 ft, determine…
A: We first draw a free body diagram of the projectile as Now We know that the Newton- Euler equation…
Q: 'When you run along the circle of radius of R from A to B and then to back to A CCW, the distance…
A: Given Radius of circle R
Q: A projectile is thrown from ground level with vo- 13i÷ 20j m/s. What is the speed (in m/s) of the…
A:
Q: A boll rounds a 46 m radius curve at 15 m/s. The magnitude of it's acceleration in m/s2 ?
A: Given data The radius of the radius curve is given as r = 46 m. The velocity of the ball is given…
Q: A particle is moving along a circular path having a radius of 4 in. such that its position as a…
A: The radius of the circular path is r = 4 in. The position of the particle is represented by the…
Q: Up on the flat roof of a building that is 42.0 m high, a ball is rolling at a constant speed of 12.0…
A: Given:Height of the building = 42 mVelocity of the ball before falling from the building = 12 m/s…
Q: (I) If Vx = 9.80 units and Vy the magnitude and direction of V. -6.40 units, determine
A: The resultant magnitude will be,
Q: A particle moves on xy x(t) = t Which of the followings:
A: Given: The Equations of xy plane, x(t)=t3-2t2+4 y(t)=t2-5t-3 t=2, t=0
Q: discharged with an initial velocity v, of 11.15 m/s, determine (a) the distance d to the farthest…
A: Initial velocity, vo=11.15m/s Initial velocity along horizontal component, vxo=vocosαvxo=11.5cosα…
Q: A certain light truck can go around a flat curve having a radius of 150m with a maximum speed of…
A:
Q: How long did it take the object to get from the position r = 2.0 m to the position z = 3.0 m?
A: Reffering the graph we have .
Q: angle 0; and with an initial velocity v; at point A. O00
A:
Q: The downward velocity of a bungee jumper is given by the non-linear equation: gm tanh V Cd gCd v(t)…
A:
Q: A 0.20-km wide river has a uniform flow speed of 3.0 m/s toward the east. A boat with a speed of 8.0…
A: river width d = 0.20 km = 200 m River flow speed Vr = 3.0 m/s towards east Boat speed v = 8 m/s
Q: A particle moves with & = w = constant and r = roeßt, where ro and B are constants. Calculate the…
A:
Q: y of 15 m/s in a direction making an angle of 30
A: Given: Height (above the ground), h = 500 ft launch velocity, v = 15 m/s Launch angle ( with the…
Q: Compute the normal acceleration when he reaches the bottom of the profile (m/s^2)
A:
Q: Find the tangential and normal components of acceleration at the given time t for the space curve…
A:
Q: Show that Ā. B = A,B¾ + A,By +A¿Bz
A:
Q: A car travels 40km due west and 50km in a dir X component of the resultant displacement (ir
A:
Step by step
Solved in 2 steps
- An infinite cylinder of radius R has a charge density given by p(r) = ar³, where r is the perpendicular distance from the axis of the cylinder, and a is a constant. Show that the electric field for r > R given by aRT E(r) : 7€or is the same as that obtained if all the charge is concentrated in an infinitely thin wire.A positive charge distribution with linear charge density of 5.2 nC/m is distributed on a semi-circle of radius R= 0.7m in the first and second quadrants, Centered on the origin, Calculate the y-component of the electric field at the origin due to this distribution sunting ed non 2kmamogring rate bank!!Problem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: What isThe work done in moving the test charge;
- A closed surface with dimensions o-b=040mand c-0.60 m islocated as in the figure below The left edge of the dlosed surface is located at position x o. The electric field in the regions non-uniform where xis in meters. Calculate the net electnc ts.leavng theclosed surtace? given by E-(3,0+49x)IN/C f7 cion Select one: OA. 6.59 OB. 11.49 OC.4.70 OD. 1.57 OE. 16.39A shpere of radius R carrries a volume charge density p= pgr, where po is a constant and r is the radial distance from the centre ofthe charged sphere. The intensityofthe electric field is proportional to: (a) r? for rR (b) r for rs R and 1/r for r2 R (c) 1/r? for both rThe figure below is a cross section of three non . plates conductor of infinite width, where the charge is evenly distributed. 01 02 (1/2) L . 2L R 03 The charge density on the surface of each plate is 1 = - 3µC/m2, 2 =+ 5µC/m2 , 3 = - 5µC/m2 , and L = 2 cm. In vector notation, what is the field net electricity at points P and R?Consider a thin plastic rod bent into an arc of radius Rand angle a (see figure below). The rod carries a uniformly distributed negative charge Q -Q A IR What are the components and E, of the electric field at the origin? Follow the standard four steps. (a) Use a diagram to explain how you will cut up the charged rod, and draw the AE contributed by a representative piece. (b) Express algebraically the contribution each piece makes to the and y components of the electric field. Be sure to show your integration variable and its origin on your drawing. (Use the following as necessary: Q, R, cx, 0, A0, and EQ-) ΔΕ, = - TE aR² AB=(2 Lower limit= 0 ✓ e aR² Upper limit= a X cos(0)40 x (c) Write the summation as an integral, and simplify the integral as much as possible. State explicitly the range of your integration variable. sin (0)40 x Evaluate the integral. (Use the following as necessary: Q, R, a, and E.) Editbx a Frnd the cectrc field at poînt P. b) uhat wat k be the electric field if; C) Find the electric field at the point P far sdup below; Explain Hhe difterences resuts la) cnd (c) +42An infinite cylinder of radius R has a charge density given by p(r) = ar³, where r is the perpendicular distance from the axis of the cylinder, and a is a constant. Show that the electric field for r > R is given by aRT E(r) 7eor Which direction does it point in?(b) Three pomt ciarges are located on a ciseular circumference of radius 3.0 cm as shown in Figure 2. At point P. om Fjure Draw the electric field exerted by each charge i. Find the electric field exerted by each charge m What are thie net electric field and its direction?b) The following are the two Maxwell equations related to electrostatic OB V. Ď=p₁ ; VxĒ=-=0 ôt i) State the relationship between electric flux density, and electric field intensity, E ii) Given that D = zr cos² p2 C/m², calculate the charge densityp, at (1,7/4,5) and the total charge Q enclosed by a cylinder of radius Im with -3≤ z ≤ 3m. iii) State the mathematical expression that can be used to calculate the work required to move a test charge Q from point P1 to point P2 through a static electric field E. c) Find the magnitude of the electric field at a point 0.05 m above the surface of a solid metal sphere of radius 0.35 m carrying a net charge of 0.25nC.Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: PĒ dA = EA = Since, its the line charge we use the area of a cylinder surrounding the line charge E*2T L= But all the charged get enclosed by the cylinder area, so denc -Q %3D Deriving, we get: E = (1/2 TEO )*( IrL)SEE MORE QUESTIONS