Three spheres, each of mass m, can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible inelastic cord of length / and are at rest in the position shown when sphere B is struck directly by sphere C which is moving to the right with a velocity v₁. Knowing that the cord is taut when sphere B is struck by sphere C and assuming perfectly elastic impact between B and C, determine the velocity of each sphere immediately after impact. of B

Three spheres, each of mass m, can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible inelastic cord of length / and are at rest in the position shown when sphere B is struck directly by sphere C which is moving to the right with a velocity v₁. Knowing that the cord is taut when sphere B is struck by sphere C and assuming perfectly elastic impact between B and C, determine the velocity of each sphere immediately after impact. of B

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: For the planar object with uniform mass per unit area shown in the figure, what is the position XG…

Q: For F = 74 lb, compute the combined moment of the two forces about (a) point O, (b) point C, (c)…

A: Given,F = 74 lb

Q: Find the mass, the moments, and the center of mass of the solid E with the given density function p.…

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

Q: The 4-kg sphere is projected horizontally with a velocity of 13 m/s against the 18-kg carriage which…

A: To solve this problem, we will use the conservation of energy and momentum principles. Given: Mass…

Q: For F = 51 lb, compute the combined moment of the two forces about (a) point O, (b) point C, (c)…

A: The combined moment of the two forces about point O is

Q: Find the center of mass of the thin plate occupying the region D bounded by the parabola y=2-22 and…

Q: he masses mi are located at the points Pi. Find the moments Mx and Myand the center of mass of the…

A: Given data- The masses mi are located at the points Pi m1=5 P1=(2, -6) m2=4 P2=(-3, 2) m3=1…

Q: A block of mass m(0.5kg) slides along a frictionless track with speed vm. It collides(an elastic…

A: (given) Mass of sliding block = 0.5 kg Mass of stationary block = 0.25 kg R is the radius of the…

Q: A binary star system has two stars, each with the same mass M, that are separated by a distance of…

A: Dear Learner, As per guidelines, I can do only first three parts, Please re-post your pending part…

Q: Consider a rocket that is in deep space and at rest relative to an inertial reference frame. The…

A: From differential equation of rocket motion we have,v2-v1=u lnm∘mfwhere,u is the speed of the…

Q: 上。 M 20 ②

A: Given that: The mass of the block is M The mass of the bullet is m The velocity of the bullet is vb…

Q: (c) A projectile proton with a speed of 500 m/s collides elastically with a target proton initially…

Q: If three point masses m, m2, and m3 have position vectors r,, r2, and r3 respectively, relative to…

Q: Three masses m1, m2, and m3 (from left to right) are placed on a thin frictionless rod. Initially m1…

A: Given: The masses are m1, m2 & m3 The velocity of m2 is = V. The collision is elastic.

Q: Two discs sliding on a horizontal plane without friction with opposite speeds of the same magnitude…

Q: An asteroid with a mass of 75 kg is travelling in deep space, far away from the the gravitational…

Q: In the slingshot effect, the transfer of energy in an elastic collision is used to power a space…

A: Given data: Speed of the probe towards the Saturn, Speed of the Saturn towards the probe,

Q: Calculate the force and moment reactions at the bolted base O of the overhead traffice-signal…

Q: The masses mi are located at the points Pi. Find the moments Mx and My and the center of mass of the…

Q: Two spheres A and B of the same radius and of masses 3m and m respectively lie at rest on a smooth…

Q: The center of mass G of a high jumper follows the trajectory shown. Determine the component vo,…

Q: The given masses m¡ are located at the given points Pi which are placed in the xy-plane. Find the…

A: Given that,m1=3 kgm2=8 kgx1,y1=-1,1x2,y2=2,-1x3, y3=3,2

Q: Two disks each have a mass of 5 kg and a radius 300 mm. They spin as shown at the rate of w1 = 1200…

A: Given: Two disks each have a mass of 5 kg and a radius 300 mm. They spin as shown at the rate of w1…

Q: Consider an extremely wide but thin sheet of plastic with −2.4 × 10-6 C/m2 that is resting on the…

A: Given: Mass of bead,m=0.14kgCharge,Q=7.2×10-6CSurface Charge Density,σ=2.4×10-6C/m2Permitivity of…

Q: A smooth sphere A, of mass 3m, moving on a smooth horizontal table with speed 4u, impinges directly…

A: Given data: The mass of sphere A, mA=3m. The mass of sphere B, mB=2m. The initial velocity of…

Q: The 4-kg sphere is projected horizontally with a velocity of 16 m/s against the 18-kg carriage which…

Q: A pendulum consists of a mass M = 5m (treat as a point-particle) hanging at the bottom end of a rod…

A: The objective of this question is to find the minimum velocity of a mass m that will cause a…

Q: A 0.6 kg ball A is moving with a velocity of magnitude 6 m/s when it is hit as shown by a 1-kg ball…

A: We first defineVa=6m/sma=0.6kgVb=−4m/smb=1kgThe coefficient of restitution is defined as the…

Q: A cube measuring bxbxb with a mass, m lies on a horzontal flat surface. The cube is subjected to the…

A: Considering the body to at rest initially ,initial velocity of the body will v1 = 0When an impulse L…

Q: A small rubber ball of radius r is thrown against a rough floor with a velocity VA of magnitude v0…

A: Given: A small rubber ball of radius r is thrown against a rough floor with a velocity VA of…

Question

Three spheres, each of mass m, can slide freely on a frictionless, horizontal surface.
Spheres A and B are attached to an inextensible inelastic cord of length / and are
at rest in the position shown when sphere B is struck directly by sphere C which
is moving to the right with a velocity v₁. Knowing that the cord is taut when
sphere B is struck by sphere C and assuming perfectly elastic impact between B
and C, determine the velocity of each sphere immediately after impact.
1/2

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: Given data

VIEW

Step 2: Free body diagram

VIEW

Step 3: conservation of moment

VIEW

Step 4: solving equations

VIEW

Step 5: velocity calculation

VIEW

Solution

VIEW

Step by step

Solved in 6 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, physics and related others by exploring similar questions and additional content below.

Similar questions

As shown below, a bullet of mass m and speed v is fired at an at rest pendulum bob. The bullet goes through the bob, and exits with a speed of v/4 The pendulum bob is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the bob.)
H)if m, = Skg, m, = 25kg,u, = 4.5m/s and 8 = 30°, find the final speeds v and vy of the two objects. %3D i) Prove if the collision is elastic or inelastic? m2 m2
A firework is to be fired at an angle of θ = 75 ∘ and initial speed v = 70 m / s . A timed fuse will make the firework explode a time T after launch. What should T be so that the firework explodes at the highest point on the trajectory (the apogee) ?
A uniformly loaded rectangular crate is released from rest in the position shown. Assuming that the floor is sufficiently rough to prevent slipping and that the impact at B is perfectly plastic, deter- mine the smallest value of the ratio a/b for which corner A will remain in contact with the floor. A qf b B
•29 ILW In the instant of Fig. 11-41, POTD two particles move in an xy plane. Particle P, has mass 6.5 kg and speed v = 2.2 m/s, and it is at dis- tance di = 1.5 m from point O. Particle P, has mass 3.1 kg and speed P2 Figure 11-41 Problem 29. v2 = 3.6 m/s, and it is at distance d, = 2.8 m from point O. What are the (a) magnitude and (b) direction of the net angular momentum of the two particles about O? %3D
Please asap
An acrobatic buccaneer swings from one rope to another in the rigging of a pirate ship. As she grasps the rope, her mass is m, 63.5 kg; knots on the rope make the rope's effective mass m, 1.50 kg. From the height %D she grabs the rope, she swings up a further distance of 1.50 m. Assuming that her collision with the rope is perfectly inelastic, answer the following questions: {Note: Treat as a ballistic pendulum problem!} mehanical a) Does the buccaneer's collision with the rope conserve her-kietie en- ergy? {Y/N?} b) Neglecting any energy losses due to friction, air drag, etc., determine the velocity of the buccaneer + rope system right after she grabs the rope in m/s. {Assume a closed system, thus Conservation of Energy} c) Is it possible to calculate the buccaneer's initial speed before she grabbed the rope from the information given? {Y/N?}
Problem 3: (a) Use spherical coordinates to find the center of mass (CM) of a uniform solid hemisphere of radius R, whose flat face lies in the ry plane with its center on the origin. [Note: dV = ² sin 0 dr do do.] (b) Use your result from part (a) to calculate the CM of a hemispherical "bowl" with outer radius R and inner radius kR, k < 1. (Depending on your work in part (a), you may not even need to do another integral.) (c) Use your result from the previous part to find the CM for an infinitely thin hemispherical shell of radius R.
Two a particles separated by an enormous distance approach one another. Each has an initial speed of 3.1 X 10 m/s. Find their minimum separation distance assuming they never deflect from their original path. ) (K/U, A, T/I) m, = 6.6 X 1027 kg
A physical pendulum consists of a vertical board of of mass 5.8 kg, length 172 cm, and width 5 cm hanging from a horizontal, frictionless axle. A bullet of mass 145 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle. (a) If the bullet embedded itself in the board, what is the minimum speed the bullet could have to make this so? (b) If the bullet passed through the board, reducing its speed by 1/5 its original value, what is the minimum speed of the bullet? (c) If the bullet is made of rubber and rebounds elastically, what is the minimum speed the bullet could have? (d) What is the rebound speed of the bullet?
At the scene of an accident, two traffic experts appear to determine which of the drivers was at fault considering that it was a highway where the speed limit is 80 km / h. The data collected in the field indicate that the vehicles stuck and skidded together a length of 25 m on the pavement whose dynamic friction coefficient is μk = 0.30. Considering that the masses of vehicles A and B are 2300 kg and 1500 kg, respectively, specify which of the cars was speeding at the moment of impact and by how much it exceeded the speed limit. Express your result in km / h for the purposes of the expertise.
Given: The ball strikes the smooth wall with a velocity (v b) 1 = 20 m/ s. The coefficient of restitution between the ball and the wall is e = 0.75. Find height max and distance after impact. (Vb)2 0 30° (Vb)₁ = 20 m/s Ay X