Consider vectors A⃗ = 2.0 ι^ + 3.0j^ and B⃗ = -4.0ι^ + 5.0 j^. 1. Calculate A⃗ +...
Consider vectors A⃗ = 2.0 ι^ + 3.0j^ and B⃗ = -4.0ι^ + 5.0 j^.
1. Calculate A⃗ + B⃗ . Express your answer as xι^+yj^.
2. Calculate A⃗ - B⃗ . Express your answer as xι^+yj^.
3. If the direction (but not the magnitude) of B⃗ is allowed to change by any amount you like, how large can |A⃗ + B⃗ | be?
4. If the direction (but not the magnitude) of B⃗ is allowed to change by any amount you like, how small can |A⃗ + B⃗ | be?
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Consider vectors A⃗ = 2.0 ι^ + 3.0j^ and
B⃗ = -4.0ι^ + 5.0 j^.
1. Calculate A⃗ +...
Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 4.98 and angle...
Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 4.98 and angle θA = 27.1 ∘ measured in the sense from the +x - axis toward the +y - axis, B⃗ with B = 4.06 and θB = 60.6 ∘, and C⃗ with magnitude C = 6.00 and in the +z - direction. Vectors A⃗ and B⃗ are in the xy-plane.
Consider the two vectors A (a) Calculate A + B 5i-3 j and Bi - 4j...
Consider the two vectors A (a) Calculate A + B 5i-3 j and Bi - 4j (b) Calculate A - B (c) Calculate |A + B (d) Calculate A -B (e) Calculate the directions of A + B and A -B A +B A B "(counterclockwise from the +x axis) o (counterclockwise from the +x axis) Need Help? Ir Read it |||| Master lt An engineer designs a roller coaster so that a car travels horizontally for 192 ft, then...
In the circuit shown in the figure R = 5.0 2, L = 2.0 mH, C...
In the circuit shown in the figure R = 5.0 2, L = 2.0 mH, C = 5.0 uF and switch Si has been closed for a long enough time so that the current reads a steady value of I1 = 50 mA . Suddenly, switch S2 is closed and Si is opened at the same instant. A 2.0 mH 1000 5.0 uF Ini Part A - What is the current on the capacitor immediately after the switch S2 is...
To take the time derivate of vectors that are defined in terms of fixed and moving coordinate systems. Students should be able to use the time derivative of vectors to calculate the linear and angular...
To take the time derivate of vectors that are defined in terms
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angular acceleration of points on a body.
A satellite floating in space is subjected to three angular
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has a magnitude...
problem 1: add and subtract the two vectors using the law of cosines Assignmente2.txt Assignment 2-Prelab...
problem 1: add and subtract the two vectors using the
law of cosines
Assignmente2.txt Assignment 2-Prelab for 9/12/2018 Vectors are arrows: each vector has a magnitude and a direction. Displacement, velocity, acceleration, and force are vec are shown below, with the direction indicated as an an tors. Two vecto gle from "east": 4o9 2 D Problem 1: Add and subtract the two vectors, using the law of cosines. (Calculate 쟈Band g.) Draw the figures representing the sum and difference. Express...
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(I) Let's start with very simple data table 1.0 2.0 3.0 4.0 5.0 6.0 -1 ±...
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SHORT PROBLEMS: Answer the following 3 questions. To receive full credit you must state the correct...
SHORT PROBLEMS: Answer the following 3 questions. To receive full credit you must state the correct answer, show any mathematical work, and if appropriate, at least briefly explain your reasoning. 1. The density of a sample of blood is 1,060 kg/m. What is the density of the blood in /g/mun"? Write the answer in scientific notation correct to 3 significant figures. 2. A small sailboat is motoring through the water at 5.0 mph, in a river where a current flows...
In the circuit shown in the following figure(Figure 1) thecapacitor has capacitance 24 μF and...
In the circuit shown in the following figure(Figure 1) the
capacitor has capacitance 24 μF and is initially uncharged. The
resistor R0 has resistance 11 Ω . An emf of 86.0 V is added in
series with the capacitor and the resistor. The emf is placed
between the capacitor and the switch, with the positive terminal of
the emf adjacent to the capacitor. The small circuit is not
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At a certain instant, the earth, the moon, and a stationary 1500 kg spacecraft lie at...
At a certain instant, the earth, the moon, and a stationary 1500 kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84×105km in length. A. Find the magnitude of the net gravitational force exerted on the spacecraft by the earth and moon. Express your answer to three significant figures. F=????N B. Find the direction of the net gravitational force exerted on the spacecraft by the earth and moon. State the direction as an angle measured from...
Consider the two vectors A (a) Calculate A + B 5i-3 j and Bi - 4j (b) Calculate A - B (c) Calculate |A + B (d) Calculate A -B (e) Calculate the directions of A + B and A -B A +B A B "(counterclockwise from the +x axis) o (counterclockwise from the +x axis) Need Help? Ir Read it |||| Master lt An engineer designs a roller coaster so that a car travels horizontally for 192 ft, then...
In the circuit shown in the figure R = 5.0 2, L = 2.0 mH, C = 5.0 uF and switch Si has been closed for a long enough time so that the current reads a steady value of I1 = 50 mA . Suddenly, switch S2 is closed and Si is opened at the same instant. A 2.0 mH 1000 5.0 uF Ini Part A - What is the current on the capacitor immediately after the switch S2 is...
To take the time derivate of vectors that are defined in terms
of fixed and moving coordinate systems. Students should be able to
use the time derivative of vectors to calculate the linear and
angular acceleration of points on a body.
A satellite floating in space is subjected to three angular
velocities, ωA, ωZ and ωy. At the instant shown ωA is directed
along the antenna ending at Aand has a magnitude of 5.50 rad/s , ωZ
has a magnitude...
problem 1: add and subtract the two vectors using the
law of cosines
Assignmente2.txt Assignment 2-Prelab for 9/12/2018 Vectors are arrows: each vector has a magnitude and a direction. Displacement, velocity, acceleration, and force are vec are shown below, with the direction indicated as an an tors. Two vecto gle from "east": 4o9 2 D Problem 1: Add and subtract the two vectors, using the law of cosines. (Calculate 쟈Band g.) Draw the figures representing the sum and difference. Express...
(I) Let's start with very simple data table 1.0 2.0 3.0 4.0 5.0 6.0 -1 ± 1.8 4±2.0 9+ 1.0 14 + 0.8 19 s 0.8 24 + 1.2 2% 1.8 34 ± 2.0 7.0 8.0 9.0 1. Plot a graph of y vs. X on a piece of graph paper 2. Is it a straight line? Draw the best-fit line. 3. Compute the slope and y-intercept for this line. Write the equation for y in terms of x using...
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In the circuit shown in the following figure(Figure 1) the
capacitor has capacitance 24 μF and is initially uncharged. The
resistor R0 has resistance 11 Ω . An emf of 86.0 V is added in
series with the capacitor and the resistor. The emf is placed
between the capacitor and the switch, with the positive terminal of
the emf adjacent to the capacitor. The small circuit is not
connected in any way to the large one. The wire of the...
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