4. A physics teacher performs three different collision experiments in class. He uses two dynamics carts on an aluminum (frictionless) track. The red cart has a mass of 0.486kg and moves to the right with a speed of 0.255m/s. The blue cart has a mass of 0.267kg and moves to the left with a speed of 0.495m/s. a. In the first collision, the carts have Velcro stuck on the front of them. The carts stick to each other upon impact. Find the final velocity of the two carts after they have stuck together. b. In the second collision, the impact is cushioned by magnets on the fronts of the carts. The magnets do not provide a perfectly elastic collision. After the carts bounce away from each other, the red cart moves to the left with a speed of 0.205m/s. Determine the final velocity of the blue cart. c. In the third collision, the collision is cushioned by a hook's law spring, which provides a perfectly elastic collision. i. Determine the final velocity of each cart after the spring recoils (after it compresses but then extends fully) ii. Determine the maximum compression of the spring during the collision

4. A physics teacher performs three different collision experiments in class. He uses two dynamics carts on an aluminum (frictionless) track. The red cart has a mass of 0.486kg and moves to the right with a speed of 0.255m/s. The blue cart has a mass of 0.267kg and moves to the left with a speed of 0.495m/s. a. In the first collision, the carts have Velcro stuck on the front of them. The carts stick to each other upon impact. Find the final velocity of the two carts after they have stuck together. b. In the second collision, the impact is cushioned by magnets on the fronts of the carts. The magnets do not provide a perfectly elastic collision. After the carts bounce away from each other, the red cart moves to the left with a speed of 0.205m/s. Determine the final velocity of the blue cart. c. In the third collision, the collision is cushioned by a hook's law spring, which provides a perfectly elastic collision. i. Determine the final velocity of each cart after the spring recoils (after it compresses but then extends fully) ii. Determine the maximum compression of the spring during the collision

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Two vectors of magnitude 8 units and 10 units respectively make 60° with each other as shown in…

Q: Find the area of the circle r = 2(sine + cose) by means of double integration.

A: The equation of circle is given as f(r) = 2(sin θ + cos θ) The area of a circle by the above…

Q: Given are 4 points in space: (x,y,x) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of…

A: As per the guidelines, I can solve only first three subparts of first question. For rest parts,…

Q: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 19.0 units, |B| =…

A: According to the given data A→=19 units B→=50 units C→=35 units We need to find (a)Resultant…

Q: unite vector is vector that has magnitude more than one and points in a particular direction O true…

A: The given statement is false.

Q: 5. To draw a line with 70 length and * inclined in 35 degree we use L;(35,0) ; @ 35 < 70 L;@35;<…

A: Given that, Length of line is 70 And degree is 35° From option is can seen that it is to be draw…

Q: Question 3 Based on the defined vectors, which one correctly shows d(LPA COS(B, +03)) dt a) -Lpa…

A: Given,ddtLPAcos(β3+θ3)We know that,cos(β3+θ3)=cosβ3cosθ3-sinβ3sinθ3Also,dθ3dt=ω3By chain…

Q: Q1-b) positive vector of a given ector has the different magnitude and the same direction True False

A: Position vector, straight line having one end settled to a body and the other end connected to a…

Q: Given are 4 points in space: (x,y,x) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of…

Q: Given are 4 points in space: (x,y,z) units are in meters A (3,2,3) B (0,1,4) C(2,4,1)…

Q: e. A force acts along a line connecting point 1 ( -14,58,71 ) ft. and point 243,-13,34 ) ft. What is…

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

Q: Vectors A, B and C are defined as follows: A = 2.5i + 3.6j – 4.3k; B = 2.5i – 5.6j + 2.2k; C = 8.4i…

A: We are suppose to solve only 3 subparts. Please post other parts as a separate question.

Q: b -y = x³ a

A: Given: y =x3 a =1.9m, b =6.859m Iy =∫X2*dA take a small area element dA at distance x from y-axis…

Q: 2) Given p = [1, 2, -1], q= [4, -5, 7] find (a) p q (b) ||p-all (c) The projection of q onto p

A: Given question is related to vectors. Given vectors: p = 1, 2, -1 q = [ 4, -5, 7…

Q: If direction angles are B = 96° and y = 37°, then get the unit vector. û = 0.593 + ? -0.105 V o j+…

A: Given: Direction anglesβ=96oγ=37o

Q: Find the magnitude of A, if A = { 2 , 3, 4}

A: Given Data⇒ A = { 2 , 3, 4}

Q: If the magnitudes of OA and OB are 150 N and 220 N, respectively. Find: (i) The vector form for…

Q: Given are 4 points in space: (x,y,z) A (3,2,3) B (0,1,4) C(2,4,1) D(0,5,4) The line of…

A: GivenA (3,2,3) B (0,1,4) C(2,4,1) D(0,5,4)F=40kNG=50kN

Q: Find the Angle between Line AB and Line AC

A: Find the vector in the direction AC: r→AC=r→OC-r→OAr→AC=b i^+c k^-c j^r→AC=2 i^+3 k^-3 j^=2 i^-3…

Q: Given are 4 points in space: (x,y,z) A (3,2,3) B (0,1,4) C(2,4,1) D(0,5,4) The line of…

Q: e resultant of the moment

A: Determine the resultant of moment.

Q: 38. Find the equation of the plane through Po(2,1,-1) perpendicular to the line of intersection of…

A: The most important point to note in this question is that, the line at the intersection of these two…

Q: Q2 (a) The uniformly loaded beam ABC has simple supports at A and B and an overhang BC (see Figure…

Q: In graphical solution, the resultant of two vectors should be drawn from the starting point of the…

Q: tached diag

A: Given-Information:-

Q: 1.5 Draw the following vectors: (Section 2.2) • Long, horizontally-right vector a • Short,…

A: Long and short vectors are distinguished by their length. Outward directed vector are represented by…

Q: 1. Using the figure below, a. Expressed in terms of i and j unit vectors, what is the vector result…

Q: у D 30° h

A: To express : The F as a vector in terms of the y and h direction. Given : The F isF=-40i^+60j^

Q: 2) Given p = [1, 2, -1], q= [4, -5, 7] find (a) p q (b) |lp - all (c) The projection of q onto p d)…

Q: Find the magnitudes of F, component along the v axes 70° 30° 45° F = 500 N F = 300 N v Your answer

Question

100%

question a,b,c ty

For any vector quantity, be sure to always include the magnitude and direction(teacher asked)

4. A physics teacher performs three different collision experiments in class. He uses two
dynamics carts on an aluminum (frictionless) track. The red cart has a mass of 0.486kg and
moves to the right with a speed of 0.255m/s. The blue cart has a mass of 0.267kg and moves
to the left with a speed of 0.495m/s.
a. In the first collision, the carts have Velcro stuck on the front of them. The carts stick to
each other upon impact. Find the final velocity of the two carts after they have stuck
together.
b. In the second collision, the impact is cushioned by magnets on the fronts of the carts.
The magnets do not provide a perfectly elastic collision. After the carts bounce away
from each other, the red cart moves to the left with a speed of 0.205m/s. Determine the
final velocity of the blue cart.
c. In the third collision, the collision is cushioned by a hook's law spring, which provides a
perfectly elastic collision.
i. Determine the final velocity of each cart after the spring recoils (after it
compresses but then extends fully)
ii. Determine the maximum compression of the spring during the collision

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 6 images

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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

QI/ Find the magnitude of the resultant (R) of the Va 21 units two vectors V1 and V2, using triangle law method only. V = 27 units 30
Moment and displacement are the examples of scalar quantity. Select one: True False
ENGINEERING MECHANICS PLS DO STEP BY STEP SOLUTION THIS FOR MY EXAM REVISION THANK YOU FOR HELPING ME APPRECIATED A LOT !
q2a
Part B
3. A scalar quantity is completely specified by a a. single direction b. single value c. both direction and value
(10) IF: A = 21-j+2k and B=9i+20j + 12k Find: (1) Unit vector for A direction. (2) Unit vector for B direction. (3) Unit vector orthogonal for A and B.
Find the moment about point 0 in figure 2 ? I need answer within 10 minutes please please with my best wishes
Express Fas a vector in terms of the unit vectors i, j, and k. Determine the angle between F and the positive y-axis. Assume rx = 35 mm, ry = 60 mm, r, = 175 mm, F = 50 N. %3D %3D Dimensions in millimeters No need to attach your solution. use the box to input your answer.
The force which are exerted by moving fluid particles on the surface is called dynamics of force in the fluid. Select one: True False
Given are 4 points in space: (x,y,x) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force vector F passes from point A to point B and has a magnitude of 20kN. The line of action of force vector G passes from point C to point D and has a magnitude of 35 kN. 1. What is the resultant of the moment caused by force vectors F and G about the z-axis? Express your answer in unit of kN-m. (x,y,z) units are in meters. 2. What is the shortest distance that can be measured from the origin to the line of action of the resultant of force vectors F and G? Express your answer in the unit of m.