Magnitude Definition and 1000 Threads

Homework Statement A man is strapped to a chair which is connected to a pulley (combined weight of chair and person = 95 kilograms). With what magnitude must the man pull on the rope if he is to rise a) with a constant velocity b) with an upwards velocity of 1.3 meters per seconds...

Homework Statement A roller coaster goes through an inside vertical loop at the minimum speed required to just barely make it through the top of the vertical track. At the very top of the track, the magnitude of the centripetal force acting on the 'coaster is a. mg. b. 2 mg. c. 6 mg. d...

Here is the problem I have: 1. A 800 kg rocket sled can be accelerated at a constant rate from rest to 1500 km/h in 2.1 s. What is the magnitude of the required net force? First I converted the a from 1500 km/h to 416.7 m/s I then used F=ma but I got the result as 333360 N but this answer is...

Ideas?

Homework Statement A 1700kg car drives around a flat 220m -diameter circular track at 24m/s . Homework Equations What is the magnitude of the net force on the car? The Attempt at a Solution 1700 * (24^2)/(110^2) i got 80.92561983 round to two sig-figs so 81 and idk why

Homework Statement A 4.39 g particle is moving at 4.15 m/s toward a stationary 9.64 g particle. (a)With what speed does the heavier particle approach the center of mass of the two particles? Answer in units of m/s. (b) What is the magnitude of the momentum of the lighter particle...

Homework Statement Question: "A block of 2kg mass is hanging from a spring with stiffness K=70N/m. The spring has an unstretched length of 30cm. The mass oscillates vertically under the influence of the spring and gravity. Calculate the magnitude and direction of the mass's acceleration when...

Homework Statement Find the magnitude of the force supported by bearing B if the weight of the assemble is supported entirely by A and there is a 120 Nm couple to the shaft. The plate has mass of 15 kg. The cable from C to D prevents the plate from turning...

Homework Statement Given a vector A = 8i − 5j, find the vectors in the xy plane that are perpendicular to A and have a magnitude of 14. The Attempt at a Solution I can find the vector perpendicular to A quite easily. I'm having trouble finding the perpendicular line when it has the...

Homework Statement A straight piece of wire of mass 0.0050 kg and length 0.600 m lies horizontally and carries an electrical current of I = 0.800 A in the direction E to W . What is the direction and magnitude of the magnetic field required to produce an upward force on the wire that exactly...

Homework Statement A 0.45 T magentic field points due east. Find the magnitude and direction of the force on a +1.0uC charge moving southward at 3.5 m/s? Homework Equations F= qvB Right hand rule The Attempt at a Solution Using right hand rule, direction of the force is up...

How do you find magnitude of net force given mass, angle, and acceleration? I have a mass of 725 kg, an acceleration of 5.10 m/s squared and an angle of 14.0 degrees. The only equation I'm given is F=M*A but I don't know how to apply it when I have an angle as well.

Homework Statement Two soccer players, Mary and Jane, begin running from approximately the same point at the same time. Mary runs in an easterly direction at 3.42 m/s, while Jane takes off in a direction 33.4◦ north of east at 2.27 m/s. What is the magnitude of the velocity of Jane...

I missed a week of school due to sickness and today was my first day back. While I was gone, the topic my class learned is called "vectors". My teacher gave me an assignment with 25 problems about it that I'm supposed to finish by tomorrow plus I'll be having a test on it in two days but...

Homework Statement an automobile manufacturer claims that its product will, starting from rest, travel 0.40 km in 9.0s. What is the magnitude of the constant acceleration required to do this? 2. The attempt at a solution Vi = 0 m/s t = 9.0 s xi = 0 m xf = 400 m xf- xi = Vit +...

Homework Statement The following three impedances are connected in series across a 100-V, 20-kHz supply: (1) a 12-Ω resistor, (2) a coil of 100 μH inductance and 5-Ω resistance and (3) a 390-nF capacitor in series with a 15 Ω resistor. Sketch the circuit diagram, impedance diagram and the...

If I see 3 candles at 3 m across compared to 2 candles at 2 m across or 1 candle at 1 m across...does it make a difference in terms of brightness if more candles are seen at greater distances? Is the magnitude of light for all 3 situations the same?

Homework Statement A grasshopper makes four jumps. The displacement vectors are (1) 24.0 cm, due west; (2) 23.0 cm, 31.0 degrees south of west; (3) 23.0 cm, 33.0 degrees south of east; and (4) 34.0 cm, 46.0 degrees north of east. Find (a) the magnitude and (b) direction of the resultant...

Homework Statement A speedboat increases its speed uniformly from 50.0 m/s to 80.0 m/s over a distance of 200 m. What is the magnitude of the boat's acceleration if its acceleration was constant? (Note that you can find the acceleration without finding the time first.) Homework...

Suppose you wanted to reach Alpha Centauri in 100 years. a. How fast would you have to go, in km/hr3 b. How many times faster is the speed you found in (a) than the speeds ofour fastest current spacecraft (around 50,000 km/hr)?

Homework Statement An object moves around a equilateral triangle with a constant speed (magnitude of velocity is constant) of 22.3 m/s. If it moves from the starting to ending point (as shown below) in a time of 12.69 seconds, what is the magnitude of the average acceleration vector in m/s2...

Homework Statement A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be: a. zero b. 3 c. 12 d. 47 e. 50 Homework Equations c ^2 = a^2 + b^2 The Attempt at a Solution I was not entirely sure on what to do. I tried using the...

Homework Statement Two point charges are fixed on the y axis: a negative point charge q1 = -24 µC at y1 = +0.20 m and a positive point charge q2 at y2 = +0.37 m. A third point charge q = +9.0 µC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two...

[b]1. Two point charges of equal magnitude are 8.4 cm apart. At the midpoint of the line connecting them, their combined electric field has a magnitude of 45 N/C. Find the magnitude of the charges. [b]2. E=k(q)/r^2 [b]3. I've tried 45= 8.99x10^9(q)/(.084)^2 and got q to equal 35...

Homework Statement A 20-kg package is at rest on an incline when a force P is applied to it. Determine the magnitude of P if 10s is required for the package to travel 5m up the incline. The static and kinetic coefficients of friction between the package and the incline are both equal to 0.3...

1. A car with a mass of 1100 kg is being pulled by a tow truck. The tow truck pulls the car to the north with a constant 1200 N force, while a friction force pushes the car towards the south. Starting from rest, the truck pulls the car 60 meters toward the north in 25 seconds. What is the...

Homework Statement Problem 3 Homework Equations The Attempt at a Solution 1) Find I and voltage across resistor 5 V=IR 12.6 = I * 5.08 I=2.48 .08*2.48= .1984 12.6-.1984= 12.4 V across battery. So would I and V across the resistor be I=2.48 and V=12.4? 2) Find current I (Forgot to mark...

Homework Statement When searching for gold, measurements of g can be used find regions within the Earth where the density is larger than that of normal soil. Such measurements can also be used to find regions in which the density of the Earth is smaller than normal soil; such regions might...

Homework Statement Five vectors are listed below. Select them in order of increasing magnitudes, from shortest to longest. If B is smallest, then A, C, D, and finally E is the largest, enter BACDE (Note: If of equal length, then enter in the order listed.) A) 23i-31j-17k B) 36j+26k C)...

What is the difference? I think magnitude is the distance from x right? But what is distance? total length traveled?

Homework Statement In Cartesian coordinates the magnitude of the velocity vector squared is |v|^2=V*V= Vx^2 +Vy^2 =(dx/dt)^2+(dy/dt)^2 Show that in polar coordinated |v|^2= Vr^2 +V@ ^2 Homework Equations The Attempt at a Solution Not really sure what the question is asking me to...

Homework Statement Let vector E = (10 i + 1 j) and vector F = (5 i - 5 j). Find the magnitude of F Homework Equations I thought it would just be 5^2 - 5^2 which equals 25-25, all square rooted. The Attempt at a Solution I keep getting 0 but it's not right. Help?

Homework Statement Prove that the magnitude R of the position vector for the centre of mass from an arbitrary origin is given by the equation M2R2 = M\summiri2 - (1/2)\summimjrij2 Homework Equations F = MR'' F = p' p = \summjrj' The Attempt at a Solution I'm not...

1. Before throwing a 0.821 kg discus, an ath-lete rotates it along a circular path of radius1.19 m. The maximum speed of the discus is18.7 m/s.Determine the magnitude of its maximumradial acceleration.Answer in units of m/s2 Homework Equations atotal = sq rt (a2 radial + a2 tangential)...

Homework Statement The position r as a function of time of a 15.0 kg mass, moving in the x-y plane, is given by r(t) = (6.00t^3 x + 1.20t^4 y) meters where x and y are unit vectors. At t = 5.00 s, find the magnitude and direction of the net force vector which is causing this acceleration...

a 1.65 x 10^-6 C charge experiences an acceleration of 6.33 x 10^7 m/s^2 in an electric field. What is the magnitude of the electric field? E = F/q F = ma ? So if F = ma then mass is not given and then E is correct. A. 3.84 x 10^16 B. 1.65 x 10^-9 C. 14.9 N/C D 2.67 x 10^-19...

Homework Statement A ball thrown into the air lands on the same horizontal level, 38 m away, and 3 s later. Find the magnitude of the initial velocity. Homework Equations x = vox The Attempt at a Solution I just plugged the x distance which is 38m and the time which is 3s into...

Homework Statement An electron moves in the positive x-direction a distance of 2.44 m in 3.10 *10-8 s, bounces off a moving proton, and then moves in the opposite direction a distance of 1.68 m in 3.53*10-8 s. The Attempt at a Solution to find the average velocity I used the distance...

The three concurrent forces acting on the post produce a resultant force of 0. If F2 = 0.5F1, and F1 is to be 90 degrees from F2 as shown, determine the required magnitude F3 expressed in terms of F1 and the angle theta. I am having no troubles finding the magnitude of F3, however, I am...

Homework Statement A point charge of -6 µC is located at x = 1 m, y = -2 m. A second point charge of 12 µC is located at x = 1 m, y = 3 m. (a) Find the magnitude and direction of the electric field at x = -1 m, y = 0. (b) Calculate the magnitude and direction of the force on an...

Homework Statement Three metal balls with unequal radii R1 < R2 < R3 are placed at the vertices of an equilateral triangle, whose sides have length a. The balls are connected by thin metal wires. A positively charged rod is brought into contact with one of the balls and transfers an amount of...

Hi, my first post here. Right. Spent the past hour searching all over for a clear explanation. In Circular Motion, or in general, the force perpendicular to the velocity vector changes only the direction and not the magnitude. Why is that so? My reasoning against goes like this - please...

Homework Statement A room has dimensions 2.75 m (height) multiplied by 3.80 (width) m multiplied by 4.00 (length) m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? Homework Equations A^2=Ax^2+Ay^2...

Homework Statement A car is driven east for a distance of 48 km, then north for 25 km, and then in a direction 25° east of north for 28 km. Draw the vector diagram and determine the total displacement of the car from its starting point. whats the magnitude and direction(counterclockwise...

Homework Statement The force exerted by the wind on the sails of a sailboat is 490 N north. The water exerts a force of 250 N east. If the boat (including its crew) has a mass of 250 kg, what are the magnitude and direction of its acceleration? Homework Equations V= SQRT(X2+Y2)...

Homework Statement electron starting from rest and moving with constant acceleration travels 4.7cm in 8.2ms. What is the magnitude of this acceleration? Answer in km/s^2Homework Equations X=Xi + (Vi)t + 1/2at^2The Attempt at a Solution Vi = 0 so the equation becomes X = Xi + 1/2at^2 t = 8.2ms...

Consider the arrangement of two fixed point charges, equal in magnitude... Consider the arrangement of two fixed point charges, equal in magnitude, shown in the figure. Which of the following statements are correct for the initial motion of a third charge if it is released from rest in the...

Homework Statement Let u= i-3j+2k, v=i+j, and w=2i+2j-4k. Find. (d)||3u-5v+w|| (e)(1/||w||)*w (f)||(1/||w||)*w|| Homework Equations ||V||=sqrt(v1^2+v2^2+v3^2) The Attempt at a Solution ok so for d i did 3(sqrt(1^2-3^2+2^2))-5sqrt(1^2+1^2)+sqrt(2^2+2^2-4^2) and got 3sqrt(14)...

Vector A, which is directed along an x axis, is to be added to vector B, which has a magnitude of 9.0 m. The sum is a third vector that is directed along the y axis, with a magnitude that is 6 times that of A. What is the magnitude of A? (Enter your answer to 4 significant figures.) So I know...

Homework Statement Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 0.40 µC charge. (A = 0.20 µC, B = 6.60 µC, and C = -3.80 µC.). Diagram below... Homework Equations F=...