Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (-2, –6) m. Where must a 20-g particle be placed so that the center of mass of this three- particle system is located at the origin?

Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (-2, –6) m. Where must a 20-g particle be placed so that the center of mass of this three- particle system is located at the origin?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: The figure below shows four particles at the comers of a rectangle, connected by rods of negligible…

A: (a) From the figure, the distance of the masses from the x axis is 3.0m. then the moment of inertia…

Q: Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g…

Q: A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a…

Q: A firecracker of mass m is heading due north with speed v when it explodes into two pieces of…

A: The expression initial momentum,

Q: At time t, a rocket is fired from rest in space. The rocket burns its fuel at constant rate for 30…

A: The initial velocity of the rocket is, The final velocity of the rocket is, The exhaust velocity…

Q: A student throws a 120 g snowball at 7.5 m/s at the side of the schoolhouse, where it hits and…

Q: A 3m particle is travelling with a velocity i = 10 i m/s. While passing through tre origin, it…

A: Initial velocity of 3m: u =10 i^ m/sFinal velocity of m: v1y = -6j^ m/s Let the velocity of 2m is…

Q: Problem 4 A 1.5 kg bomb initially at rest explodes into three fragments. Two out of the three…

Q: In terms of L, what are the x and y coordinates of the center of mass of the object below?…

Q: An.40 with the Sun? The initial distance of the rocket from the Sun is 1.79 x 1011m and the mass of…

A: Given:

Q: The 464 kg uniform beam is subjected to the three external loads shown. Compute the moment reaction…

Q: Determine the coordinates in which a particle of mass m4 = 6gr must be placed so that the center of…

Q: Three particles are distributed in the xy-plane. The másses and the coordinates for the three…

A: Centre of mass of a system is a place where it is believed that complete mass of the system lies…

Q: An unstable nucleus of mass 1.7 x 10-26 kg, initially at rest at the origin of a coordinate system,…

A: Use the conservation of momentum to solve for the velocity of the third particle.…

Q: During a lunar mission, it is necessary to increase the speed of a spacecraft by 2.2 m/s when it is…

A: Write the expression for fraction of final mass to initial mass for the system.

Q: Let it be a system formed by two particles 1 and 2 of mass m1 and m2, respectively. Show that the…

A: Objective: To determine the position of the center of mass is located at an internal point to the…

Q: Two particles A and B have the same kinematic energy. Particle A is 8.0 times as massive as particle…

Q: An unstable nucleus of mass 1.7 x 10-26 kg, initially atrest at the origin of a coordinate system,…

A: Write the equation of conservation of momentum.

Q: Three particles are placed in the xy plane. A 30-g particle is located at (3, 4) m, and a 40-g…

A: Given;- A 30-g particle is located at (3, 4) m 40-g particle is located at (-2, -2) m Find:-…

Q: A 3m particle is travelling with a velocity i = 10 î m/s. While passing through tre origin, it…

A: This question can be solved based on the theorem of the conservation of momentum in each direction…

Q: A space vehicle is traveling at 4300 km/h relative to Earth when the exhausted rocket motor (mass…

A: The expression of the speed of the command module relative to Earth just after separation is,

Q: A 10 kg projectile was launched at the horizontal ground at a velocity of 20 m/s, 10 degrees with…

A: Given data: The mass of the projectile is, m1=10 kg The initial velocity of the projectile is, u= 20…

Q: Consider a system consisting of two point particles A and B separated by 25 cm. The distance between…

A: By balancing of masses, mAxA=mBd-xA

Q: Three particles are placed in the xy plane. A 30-g particle is located at (3, 4) m, and a 40-g…

Q: A particle of mass m, collides with another stationary particle of mass M. If the particle m stops…

Q: terms

A: Given: Elastic collision of two protons. To find: (a) speed of proton (b) The direction of the…

Q: A bowling ball onboard a space station is floating at rest relative to the station and an astronaut…

A: Given: The velocity of the ping pong ball is v.

Q: A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a…

Q: smooth sphere A of mass 2m moving with velocity (3i+4j)ms-1 impinges obliquely on another smooth…

Q: In an elastic collision of particles, one particle is stationary and another one is moving to the…

A: Apply conservation of momentum in the x-direction.…

Q: In Figure S6.4, four particles of masses 1kg, 2kg, 3kg and 4kg are at the vertices of a rhombus of…

Q: One astronaut is 75kg, and another who is 3.4 m away in the x-direction is 85kg. How far from the…

A: The expression for the centre of mass for 2 objects in x-direction is…

Q: A 1500 kg car traveling east at 25 m/s collides with a 2500 kg large cargo truck traveling north at…

Q: Determine the coordinates in which a particle of mass m4 = 6g must be placed so that the center of…

Q: a particle of mass .260kg moves head on with a velocity .534x+.374y m/s toward a second particle of…

A: Given Particle Mass m1 = 0.260 kg m2 = 0.486 kg Velocity u1 = (0.534 x + 0.374 y ) m/s u2 =( 0 x + 0…

Q: The centre of mass of a system of two particles splits as the distance between them increases. (a)…

A: Given that, the center of mass of a system of two particles splits as the distance between them…

Q: y (m) m: According to the figure, what is the location of the center of mass of the three particles…

A: Write the location of m1. x1=1y1=1 Write the location of m2. x2=2y2=3 Write the location of m3.…

Q: The x and y coordinates of the center of mass of the three-particle system shown y (m) 4 m 3 m - on…

Q: A proton of mass m undergoes a head on collision with a stationary atom of mass 13m. If the initial…

A: Given data The mass of the proton is m1 = m. The mass of the stationary atom is m2 = 13m. The…

Q: An astronaut of mass 210 kg including his suit and jet pack wants to acquire a velocity of 2.0m/s to…

A: Given: The mass of the astronaut is 210 kg. The required velocity is 2.0 m/s. The velocity of…

Q: There are two objects of masses 1 kg and 2 kg located at (1, 2) and (-1, 3) respectively. The x and…

A: Given Data: m1 = 1 kg…

Q: Two asteroids strike head-on: before the collision, asteroid A (ma = 7.5 × 1012 kg) has velocity 3.3…

A: Let uA and uB be the initial velocity of Asteroid A and B respectively.Let v be the final combined…

Q: A 40 g particle is located at (3, 4) m, and a 50 g particle is located at (-2, -6) m in the xy…

Q: The 528 kg uniform beam is subjected to the three external loads shown. Compute the moment reaction…

A: The moment is a vector quantity which means it has both magnitude and direction to it. It can be…

Q: In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from height h and then…

Q: Ricardo, of mass 80 kg, and Carmelita, who is lighter, are enjoying Lake Merced at dusk in a 30 kg…

A: Given information: Here, mR and mcan are Ricardo’s mass and the canoe’s mass respectively and l is…

Q: A rod 2 meters long has a linear density of p(x) = 8 - 3x. How far, in meters, is the center of mass…

A: Given data ρx=8-3x

Question

Write your complete justification of the answer on your
paper. (To accept your answer, you should write it as (
x= , y= ) just no-digit below the comma and without
unit):
Three particles are placed in the xy plane. A 40-g
particle is located at (3, 4) m, and a 50-g particle is
positioned at (-2, –6) m. Where must a 20-g particle
be placed so that the center of mass of this three-
particle system is located at the origin?

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

I am confused with part (e). I don't understand the steps. How is 1.427 obtained? How is the 20t moved to the left side of the equation, since it is inside the COS() function? I am just not understanding the math. Can you step it through with an explanation at each individual step?
Prove that gn = g? + g + 2 for all n 21 is able to satisfy the recurrence relation equation gn = gn-1 + 2n. (That should say g sub(n-1) but my computer bugged up the format a little). Please show all steps.
J= , (r2 + 2)V () dr. find the value of J. Note that the divergence relation in spherical coordinates is given as follows V.v = r ar (sin@ ve) + r sin e ap r sin e ae
Determine the surm of all possible values of s. 9. Celine traces paths on the grid below starting at point X and ending at point Y. Each path must follow the lines connecting the dots and only ever move horizontally to the right or vertically down. It may be useful to know that there are a total of 924 such paths. Consider the 7 points labelled A, B, C, D, E, F, and G. List these points in decreasing order of the number of paths passing through that point. For example,B is on exactly one path, so B should be the last point in your list.
Please complete just 7 and 8, be neat plz, thank you!
in this completed example, why is r equal to sintheta? Also the integration is dtheta, how do we get there?
Convert the [100] direction into the four-index Miller-Bravais scheme for hexagonal unit cells. Show your solution. No solution, no points. Box/underline final answers.
Find an equation for the plane through the points (-6, 8, – 1) and (-1,3, –8) and perpendicular to the plane -4x – 3y + 8z = 10. An equation for the plane is ...
1.2 From the figure below (i) Determine the Miller indices for the plane. (ii) Let the length of all the three base vectors of the direct lattice a = 5 nm. Calculate the distance of the lattice planes (346).
Write the normalized version of the following wavefunction, defined over all 3D space: (x, y, z)= e-(x²+y²+z²)/2a² (Note: Parameter a represents the extent of the wavefunction.)
Just need hlep with part d. thank you
Calculate Uncertainties.Please show the work. I am confused.