Answered: 6. Add the following two vectors and…

6. Add the following two vectors and write the results in unit vector notation, and also as a magnitu and direction. C = (-3.75 m)i + (-9.48 m)j D (1.92 m)i + (6.32 m)) =

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 25P: Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have...

See similar textbooks

Related questions

Q: for the first question the pith ball was made out of aluminum so wouldnt it become polarized and…

Q: For each of the three pairs of positions listed in the following table, determine the magnitude and…

A: Given Data: a) Initial position, x0=+2.5 m Final position, x=+6.5 m b) Initial position, x0=+5.6…

Q: A bug crawls across a large window. The position of the bug is given by to following equation: x(t)…

Q: A bird watcher meanders through the woods, walking 1.36 km due east, 0.512 km due south, and 4.16 km…

Q: Displacement vector for C to A meters Displacement vector for A to B C meters x + Displacement…

A: Given that: Position coordinate of A(1,8) m Position coordinate of B(3,1) m Position coordinate of…

Q: Fungal spores develop a measurable charge when launched. Mycologists are unsure whether the…

A: Determine the total charge of the spore.

Q: 2. A child running around in a field has the following position and velocity at time t = 0: x = 1.5…

Q: A jet plane holds 1000 gals of fuel. Fuel weighs 6.00 lbs/gal. The engine consumes 1200 lbs/hr. The…

A: Given Volume of the fuel V = 1000 gal Density of the fuel d = 6.00 lbs/gal Rate of Burning r = 1200…

Q: A wooden block of mass 0.200 kg is given an initial velocity up an aluminum ramp set at a 21 angle…

A: Given: The mass of the object is 0.2 kg. The angle of the inclination is 21o. The coefficient of…

Q: A car moving at 27 m/s comes to a stop in 13 s. Find the distance it covers.

A: Given, The initial speed of the car (u) = 27 m/s. The final velocity of the car (v) = 0 m/s. Time…

Q: Example_8 The filament in a clear incandescent light bulb radiates visible light at a power of 5.00…

Q: Theoretically speaking would anything different happen visually if a negatively charged rod was…

A: As the electroscope is positively charged initially, there will be deflection in the gold leafs. The…

Q: Required information A laser used in LASIK eye surgery produces 55 pulses per second. The wavelength…

A: Determine the distance moved by a single pulse.

Q: Two boxes, as shown below, are sliding along a floor after being given an initial speed v to the…

Q: caps lock A b. What is the total final momentum? Why? S c. What is her velocity after throwing the…

Q: Exercises Check which of the following equations are dimensionally correct. 1. x= x₁ + Vit+ 0.5 at²…

Q: Determine the acceleration that results when a 12 N net force is applied to a 3 kg object. O 4 m/s²…

Q: Required information A laser used in LASIK eye surgery produces 55 pulses per second. The wavelength…

A: Given data: The wavelength λ=291×10-9 m The beam diameter d=0.8 mm= 8×10-4 m Average power P=120 mW…

Q: The electric field must be zero inside a conductor in electrostatic equilibrium, but not inside an…

Q: The molecular formula of aspartame, the artificial sweetener marketed as NutraSweet Ⓡ, is C14H18…

Q: Choose true or false for each statemfi If the magnitude of charge 1 is smaller than charge 2, then…

Q: A particle with a charge of 7.7 μC and a mass of 0.00022 kg is fired horizontally with a speed of 2…

Q: A very early, simple satellite consisted of an inflated spherical aluminum balloon 37 m in diameter…

Q: A short, charged, thin, plastic rod of length 2a is placed on the y-axis. The total charge on the…

Q: You have a thin, diverging lens. If the value of q (the distance from the image to the mirror along…

Q: Venn diagram uses a set of circles to represent the relationship between different subjects. The…

A: Solution

Q: A rectangle has a length of (2.9 ± 0.2) m and a width of (1.6 ± 0.2) m. Calculate the area and the…

Q: c) Express the forces in the component form. For example, the force F₁ shown in Fig.2 can be written…

Q: The Australian mining town of Coober Pedy in northern South Australia is renowned for its opals.…

Q: Three particles are located at the vertices of an equilateral triangle of sides l. If the charge of…

Q: The molecular formula of aspartame, the artificial sweetener marketed as NutraSweet, is C14H18N2O5.…

Q: In the figure, three 6.55 kg spheres are located at distances d₁ = 0.434 m, and d₂ = 0.144 m. What…

A: Given:- The mass of the three-sphere is m = 6.55 kg The distance d1= 0.434 m and distance d2=…

Q: Situation 8: Determine the u and v Components of the Forces shown 63° 42° F2 = 485 N 34⁰° u F1 = 325…

Q: Three particles are located at the vertices of an equilateral triangle of sides l. If the charge of…

Q: The radius of a circle is measured to be (13.6 ± 0.3) m. Calculate each of the following and give…

A: CONCEPT: Given, The radius of the circle = (13.6±0.3) m So, R=13.6 m and r= 0.3 m We know, Area of…

Q: (a) In the figure what value must R have if the current in the circuit is to be 1.0 mA? Take ₁ = 2.2…

A: Given data: Current (I) = 1.0 mA = 1.0×10-3 A ε1 = 2.2 V and ε2 = 3.2 V r1 = r2 = 3.3 Ω Required:…

Q: The average distance of the earth from the sun is about 1.5 x 108 km(Figure 1). Assume that the…

A: Given data, Distance r=1.5×108 km

Q: A uniformly charged disk with radius R = 30.0 cm and uniform charge density = 6.90 x 10-3 C/m2 lies…

Q: D. What material will you choose to design the outer terminal (Part 4) to have a highest strength…

A: Mechanical properties are the property which are used to identify and classify main properties are…

Q: When we talk about electromagnetic energy, what parameter is used to describe it if it represents…

Q: A 1.6-kg mass attached to a spring undergoes simple harmonic motion of amplitude 0.12 m and has an…

Q: An electrically charged 30 g piece of amber attracts a single cat hair which has a mass of 3.0e-11 g…

A: Certain substances like ebonite, amber, etc when rubbed with suitable substances acquired the…

Q: 7. The graph below represents a plot of the velocity versus time for an object. Use this graph to…

A: Given:- The velocity vs time graph is given as find:- a. What is the average acceleration of the…

Q: or the circuit shown below, a) Find the total resistance of the circuit: ✓✓ 5 V +

Q: Water balloon Context You want to drop a water balloon from the top of a window on the head of…

A: Determine the dropped height.

Q: How do you find the gravitational potential of two masses for any position around them that is…

A: Gravitational potential between two masses can be calculated by adding the gravational potential due…

Q: The average distance of the earth from the sun is about 1.5 x 108 km(Figure 1). Assume that the…

A: Given Average Distance between earth and the sun R = 1.5 x 108 km

Q: Question 12 of 16 A student wants to measure the volume of a cylinder. He used th 57.6+1.57…

Q: cart starts from rest and moves 1.4 m in 1.7 s. Determine the cart's acceleration. =

A: Given data: Initial velocity (u) = 0 m/s Distance traveled (d) = 1.4 m Time (t) = 1.7 s Required:…

Q: What is the speed of light in a precious stone that has an index of refraction of 2.7980? m/s

A: CONCEPT: Refractive index is defined as the ratio of speed of light in air medium to the speed of…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

6. Add the following two vectors and write the results in unit vector notation, and also as a magnitu
and direction.
C = (-3.75 m)i + (-9.48 m)ĵ
D
(1.92 m)i + (6.32 m)}
=

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector R has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
A vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.
Given the vectors A=2.00i+6.00j and B=3.00i2.00j, (a) draw the vector sum C=A+B and the vector difference D=AB. (b) Calculate C and D, in terms of unit vectors, (c) Calculate C and D in terms of polar coordinates, with angles measured with respect to the positive x axis.
Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have magnitudes of 3.00 m and vector A makes an angle of = 30.0 with the x axis. Express the resultant A+B in unit-vector notation.
Explain why it is not possible to add a scalar to a vector.
Vector A has a magnitude of 4.50 m and makes an angle of 64.0 with the positive x axis. Vector B, with a magnitude equal to that of vector A, points along the negative y axis (Fig. P3.16). Graphically find the magnitude and direction of the resultant vector a. A+B, b. AB, c. BA, and d. 2AB.
Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0 counterclockwise from the positive x axis, (b) Vector F is directed 27.0 counterclockwise from the positive y axis, (c) Vector G is directed 27.0 clockwise from the negative y axis.
The magnitude of vector A is 35.0 units and points in the direction 325 counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.
A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.
Give a specific example of a vector, stating its magnitude, units, and direction.
Explain why a vector cannot have a component greater than its own magnitude.