Let A⃗ =(9,78∘) and B⃗ =(2,289∘), where the angles are measured counterclockwise from the positive x-axis. What is C⃗ =4A⃗ +B⃗ ? Give your answer in component form. x component: y component:

Let A⃗ =(9,78∘) and B⃗ =(2,289∘), where the angles are measured counterclockwise from the positive x-axis. What is C⃗ =4A⃗ +B⃗ ? Give your answer in component form. x component: y component:

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section1.10: Cornoonentsofavector

Problem 1.2QQ: Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components...

See similar textbooks

Related questions

Q: How much heat in joules must be added to 0.874 kg of aluminum to change it from a solid at 146 °C to…

A: Mass of aluminum is Initial temperature is Final temperature is The latent heat of fusion is…

Q: Problem 7: A very large sheet of very long wires lie parallel to the y-z plane with the current…

A: Part (a) - Magnetic Flux Through the Top Frame:Calculate the magnetic field Btop:Btop= μ0I…

Q: Find the electric field due to q₁, E₁ Find the electric field due to 92, Ĕ2 ⚫ Ē = Ë₁ + Ē₂ 2

Q: A 40.0 g bullet is fired at 100.0 m/s and embeds in a wooden block on asmooth surface frictionless…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: how can I calculate the electric field of each region of the shell and plot the electric field of…

Q: 12 If a capacitor has the capacitance of 20 uF and has a voltage of 12.2 x 103V, how much energy (J)…

A: Given values:C = 20 uF = 2 x 10-5 FV = 12.2 x 103 V Introduction:We know, energy stored in a…

Q: The position of a SHO as a function of time is given by x=3.8 cos(5πt/4+π/6) where t is in seconds…

Q: Problem 1: Suppose you have a coffee mug with a circular cross section and vertical sides. What is…

A: Given,

Q: 30 DENAKER What three properties of the nucleus can be deduced from the Rutherford scattering…

A: The objective of the question is to identify and explain the three properties of the atomic nucleus…

Q: A stick of length 1 is broken into two pieces, at a uniformly random break point. (1) Find the…

Q: A cyclotron with dee radius 77.8 cm is operated at an oscillator frequency of 11.5 MHz to accelerate…

A: The objective of the question is to calculate the magnetic field required to achieve resonance in a…

Q: Light with a wavelength of 511 nm forms a diffraction pattern after passing through a single slit of…

Q: Answer all.parts

A: The objective of the question is to calculate the average velocity and average acceleration of a car…

Q: 0.5 cad/s 700 mm 100 mm 2(9.81) N 300 300 80 A smooth can C, having a mass of 2 kg, is lifted from a…

A: The objective of the question is to determine the force exerted by the rod on the can at a specific…

Q: nnip Priv Practice Problems - 3 The left end of a long glass rod of index 1.6350 is ground and…

A: Answer 1-) Answer 2-) Answer 3-)

Q: A long straight wire carrying a current of 2.54 A moves with a constant speed v to the right. A 5…

Q: 1. Find the expressions of the static Coulomb's field E = Q ŕ Απεργ2 in the Cartesian and…

Q: A block and a beaker filled with water are placed side-by-side on a scale (case A ). The block is…

A: When comparing the scale readings in these two scenarios, it's essential to understand how buoyancy…

Q: In the figure below, the bar magnet moves toward a loop of diameter D, which is connected to a…

Q: 32. (a) What is the spacing of the dark fringes in an interference pattern reflected from an air…

A: (a) Maximum Possible Work (isentropic process):Calculate Change in Specific Enthalpy (Δh):Use the…

Q: During a dive, a 44 kg diver has a final radius of gyration of 0.3 m and an angular velocity of 620…

Q: To learn about mutual inductance from an example of a long solenoid with two windings. To illustrate…

Q: What is the distance x in the figure below

Q: A 200g toy car is placed on a narrow 30cm radiustrack with wheel grooves that keep the car moving in…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: An object is 21 cm in front of a diverging lens that has a focal length of -9.6 cm. How far in front…

Q: 28. Monochromatic light coming from the left passes through a slit S and then falls on a metal sheet…

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS help asap

A: Step 1:Step 2:Step 3:

Q: A 0.170 kg hockey puck is initially moving at 21.2 m/s [W] along the ice. The coeffi cient of…

A: Given Data:Mass Initial speed Coefficient of kinetic friction To Determine:(a). The speed (v) of the…

Q: With two vectors in Cartesian coordinates have components A = (1, 1, 3) and B = (4, 2, 5). What…

Q: A 2.0 kg ball at the end of a 1.8 m string swings in a vertical plane. At its lowest point the ball…

A: Step 1: From energy conservation:Total energy at the bottom of the path is, considering the…

Q: In an isolated system the moment of inertia of a rotating object is doubled. What happens to angular…

A: The net torque will be zero when the system is an isolated one. When there is no net torque, the…

Q: "Explain the concept of CIDR (Classless Inter-Domain Routing) and its role in modern IP networking.…

A: Classless Inter-Domain Routing (CIDR) revolutionized IP networking by introducing a more flexible…

Q: and w are given. y 5.2 2 100° 4 -2 2 -2 H16° 7 4 Write each vector in polar form. Your answers…

Q: A solid insulating sphere of radius a carries a net positive charge Q uniformly distributed…

A: The electric field in the different regions.*Gauss's law* states that the net electric flux through…

Q: A group sets out to answer the research question "are mass and acceleration related?" They conduct…

A: The objective of the question is to provide feedback on the experimental design of a research group…

Q: Given configuration of charges below, find the electric field produced at the origin.

Q: Consider a particle moving through a uniform magnetic fieldB= (2.2000x10^-2)T i, with initial…

A: Step 1: Given-Magnetic field is B=2.2000×10−2i^ TThe initial velocity of particle is…

Q: 46. * BIO EST Fireflies Fireflies emit light of wavelengths from 510 nm to 670 nm. They are about…

A: Detailed explanation:In this problem, we want to determine the number of ATP molecules required for…

Q: True or False If the limit of flammability for gasoline is 3-11% by mass, is a room at 0.01 atm of…

A: The objective of the question is to determine whether a room with 0.01 atm of gasoline in air is…

Q: Muons have a short average lifespan of 2.2 microseconds (in their rest frame). They are created upon…

A: It take 2.083 x 10-4 seconds or 208.3 microseconds for a muon moving as fast as light to traverse…

Q: A pair of vertical, open-ended glass tubes inserted into a horizontal pipe are often used together…

A: The objective of the question is to find the speed of the fluid at the left end of the main pipe…

Q: Four resistors are connected as shown below. R1 = R2 = R3 = R4 = 12 Ω. The voltage across the…

Q: Please help solve Part B: PART A Let's say this train moves with the speed of the fastest train in…

Q: A beam of light is incident from air on the surface of a liquid. If the angle of incidence is 27.0°…

Q: Two carts, C and D, are initially at rest on a horizontal frictionless table as shown in the…

Q: 50.0 N 1.00 m T= 2. What is the distance x in the figure below?

A: Solving the Differential Equation for Charging:Write the loop rule equation:Vo - iR - Vc = 0…

Q: The spacing between the plates of a 3.2 µF capacitor is 0.010 mm. What is the surface area of the…

A: The formula for the capacitance of a parallel plate capacitor:Where: is the capacitance, is the…

Q: ra solu QUE: A constant-volume gas thermometer (see the figures below) has a pressure of 5.28 x 103…

A: We know Ideal gas equation PV=nRT Since n and R are constantsBut At constant volume, P/T =…

Q: Suppose you wish to fabricate a uniform wire from 1.60 g of copper. The wire is to have a resistance…

A: The data is given as follows.Here, m is the mass of the copper wire, R is the resistance, d is the…

Q: NEW General HI Q Q ↓ Close 5. The figure shows a charged dielectric sphere centered at the origin…

A: The objective of the question is to find the magnitude of the electric field at a certain point in…

Question

Let A⃗ =(9,78∘) and B⃗ =(2,289∘), where the angles are measured counterclockwise from the positive x-axis. What is C⃗ =4A⃗ +B⃗ ? Give your answer in component form.

x component:

y component:

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.
Round off the following numbers to three significant figures: (a) 58342 m, (b) 68.534 s, (c) 2553 N, and (d) 7555 kg.
A farmer wants to fence off his four-sided plot of flat land. He measures three sides, shown as A, B, and D in the Figure, and then correctly calculates the length and orientation of the third side C. The length of A, B, and D are all 7.06 km. Their angles theta1, theta2, and theta3 are all 2.16 degrees. What did he find as the magnitude of C (in unit of km)?
A woman measures the angle of elevation of a mountaintop as 12.0°. After walking 5.55 km closer to the mountain on level ground, she finds the angle to be 14.0° (c) Find the height y of the mountain by first solving one equation for x and substituting the result into the other equation.
Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown. The monument is made from tens of thou- sands of small stone blocks of density = 800 kg/m3 . The monument is 15.7 m high and 64.8 m wide at its base and is everywhere 3.60 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. (a) Choosing a coordinate system with x = 0 at the center of the pyramid, y = 0 at the base of the pyramid, and z = 0 at the face of the pyramid shown in the diagram, determine the coordinates of the center of mass of the pyramid in the x, y, and z directions. (b) How much work did laborers do on the blocks to put them in position while building the entire monument? Note: The gravitational potential energy of an object–Earth system is given by Ug = MgyCM, where M is the total mass of the object and yCM is the elevation of its center of mass above the chosen reference level.
Two points in the xy plane have Cartesian coordinates (3.50, -5.00) m and (-6.50, 6.50) m. Determine the distance between these points.
The Cartesian coordinates of point P are (- 6.50 m, 8.75 m). Question 4 The length of P is ...... Question 5 The polar angle of P is ...
The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give (a) 2.75 and 2.74 (b) 2.74 and 2.73 (c) 2.75 and 2.73 (d) 2.74 and 2.74
How many significant figures are there in (a) 78.9 ± 0.2, (b)3.788 x 109, (c) 2.46 x1026, (d) 0.003 2
A calculator displays a result as 1.3652480 × 107 kg. The magnitudes of the quantities used to determine the result are 190, 6.28 x 10-5, 7.1 x 109, and 322.7. How many digits should be included as significant when the result is written down? zero one two three four
If u=⟨6,15⟩ and v=⟨−5,20⟩ find (a) 2u + v and (b) 5u - 2v. Step 1: Calculate 2u + v using scalar multiplication and vector addition. Step 2: Calculate 5u - 2v using scalar multiplication and vector addition.
Given the following vector quantities: A = (50, 30, 20) N and B = (30, 20, 30) N, determine; a) The magnitude and direction with respect to each axis of the vector product and b) the scalar product and the unit vector of the vector product