Elastic collision. I cannot find the after collision velocities (quantity and direction), when 2 spheres strike an immobile sphere. All three of them have the same shape and volume, and the same mass (say e.g. 1 kg each). The two moving ones move parallel to each other with the same velocity u...
Homework Statement
10. A red convertible of momentum mv traveling north on the Murdoch Drive collides, at the intersection of Murdoch Dr and South St, with a green sedan having the same magnitude of momentum, but traveling west on South St.
a. What is the magnitude and direction of the...
Homework Statement
hi everyone ,, how are you all ? ,, i have these two equations and i don't know how to get them :
v1f=((m1-m2)/(m1+m2))*v1i +(2m2/(m1+m2))*v2i
V2f=((2m1/m1+m2))*v1i+((m2-m1)/(m1+m2))*v2i
Homework Equations
m1v1i+m2v2i=m1v1f+m2v2f (conservation of momentum)...
1. Homework Statement
The problem is in the picture(attached)
2. Homework Equations
I know we have to use
m1v1 + m2v2 = m1v1' + m2v2'
(1/2)m1v1^2 + (1/2)m2v2^2 = (1/2)m1v1'^2 + (1/2)m2v2'^2
3. The Attempt at a Solution
All I know is that it needs to be split up into components...
Homework Statement
The problem states: A 0.140 kg block on a frictionless table is firmly attached to one end of a spring with k = 25 N/m. The other end of the spring is anchored to the wall. A 0.023 kg ball is thrown horizontally toward the block with a speed of 5.2 m/s. What is the ball's...
Homework Statement
A 1 Kilogram object with speed of 2.0 m/s in the positive x direction has a head -on elastic collision with a stationary 0.70Kg object located at x=0. What acceleration does the stationary object experiences during the collision if the collision occurs over 0.2 seconds...
Homework Statement
A block of mass m1= 5kg is released from point 1 which is 5 meters above the horizontal frictionless surface and slides down a frictionless track. It makes a head-on collision at point 2 with a block of mass m2= 10kg that is initially at rest. Calculate the maximum...
Hello,
Homework Statement
I wondered if someone could help me show / give hints on how to show the (simplified) elastic differential equation (below) is related to the classical Schrodinger equation (in quantum mechanics)? I am a maths undergraduate.
2. Homework Equations - (i had some...
Homework Statement
A 70.0 kg person steps through the window of a burning building and drops to a rescue net held 8.00 m below. If the surface of the net is 1.40 m above the ground, what must be the value of the spring constant for the net so that the person just touches the ground when the...
Homework Statement
A wire of diameter 0.2mm stretches by 0.20% when a 6.28-N force is applied. What is the elastic modulus of the wire?
Homework Equations
Elastic Modulus=F/A/L/\DeltaL
The Attempt at a Solution
r=.1mm=1x10-4m
6.28N/(2\pi1x10-8/.02=5x109N/m2
The right answer...
elastic collision help!
Homework Statement
A spherical satellite of radius 4.7 m and mass M = 195 kg is originally moving with velocity
v1i = < 2800, 0, 0 > m/s, and is originally rotating with an angular speed w = 2 radians/second, in the direction shown in the diagram. A small piece of...
Homework Statement
A 1.2kg mass moving 2.4m/s [East] has an elastic collision with a 2.4kg mass moving 1.8m/s [North]. What are the final velocities?
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I know that I need Ek before and after the collision, but I'm not sure how to calculate it for this...
If two cars are going towards each other, collide, and then are separated (have separate masses and separate velocities)... that is an elastic collision, correct?
1. Homework Statement [/b]
Block 1, with mass m1 and speed 3.6 m/s, slides along an x-axis on a frictionless floor and then undergoes a one-dimensional elastic collision with stationary block 2, with mass m2 = 0.69m1. The two blocks then slide into a region where the coefficient of kinetic...
Homework Statement
A particle of mass M1 collides elastically with a particle of mass M2 at rest. Show that if M1>M2 then the angle of M1 after the collision cannot exceed the value arcsin(M2/M1).
Homework Equations
conservation of momentum: M1v1=M1v1`+M2v2`
conservation of kinetic...
Where i can find complete data for material elastic constants??
I need elastic constants, piezoelectric coefficients & permittivity for different semiconductor alloy?
Someone could kindly help...
An object with mass 3.6 kg is moving in the positive x direction when it strikea second object head-on. THe collision is elastic and afterwards both objects are moving in the positive x direction. If the final speed of the second object is equal to 8 times the final speed of the first object...
I have read that when a gas atom or molecule collides with the wall of a container that the collision is completely elastic, and that the gas particle has the same energy after the collision as it did before the collision. I don't understand how it could transfer pressure to the container wall...
Homework Statement
a) State the law of conservation of linear momentum.
b) A proton of mass 1.6*10-27kg traveling with a velocity of 3*107ms-1 collides with a nucleus of an oxygen atom of mass 2.56*10-26kg (which may be assumed to be at rest initially) and rebounds in a direction at 90 degrees...
In this problem we will examine the collision between a baseball (the cowhide) and a bat (the ash). We assume a one-dimensional problem. That is, the bat hits the ball squarely, so that the ball reverses its direction after the collision. We also assume that the ball hits the bat at the center...
Homework Statement
A hockey puck B rests on a smooth surface of ice and is struck by a second puck A , which was originally traveling at 40.0 m/s and which is deflected 30.0 degrees from its original direction. Puck B acquires a velocity at a 45.0 degree angle to the original direction of A...
Homework Statement
Homework Equations
MaVa+MbVb=MaV'a+MbV'b
PE=mgh
KE=.5mv^2
mgh=.5mv^2=KE of small ball just before collision
The Attempt at a Solution
I first determined the starting height of the pendulum using the pythagorean theorem through sin15=y/.95 y=.2459 m...
1. An 8 g rubber bullet was fired into a 2.5 kg pendulum bob, initially at rest, and becomes embedded in it. The pendulum rises a vertical distance of 6.0 cm.Calculate the initial speed and how much kinetic energy is lost in this collision?
2. An 8 g rubber bullet was fired into a 2.5 kg...
Hi there.
I have a bead of mass m, which slides down a frictionless parabolic wire in the form y=x^2, and is attached by elastic to the point (0,h), and I want to write down total energy f(x) (= elastic energy + gravitational potential energy) (no mention of kinetic energy...) of the bead at...
Homework Statement
Q: Consider two identical particles A and B have the same mass m in the inertial frame
R where B is at rest. The two particles collide and their trajectories after
impact are symmetrical with respect to the incident direction. Let t be the
angle between the trajectories...
Homework Statement
Two elastic balls, one with mass m = 50 g and the other with mass M = 3m experience a head-on elastic collision after initially traveling in opposite directions at the same speed v = 15 m/s.
Use the conservation of momentum strategy to obtain symbolic expressions and...
Homework Statement
The deepest point in any ocean is in the Mariana Trench, which is about 11 km deep, in the Pacific. The pressure at this depth is huge, about 1.13 108 N/m2. (Take the bulk modulus of seawater to be 2.34 109 N/m2)
(a) Calculate the change in volume of 1.2 m3 of seawater...
Homework Statement
How do i prove 0.5kx2=elastic energy?
Homework Equations
0.5kx2=elastic energy
Energy in= Energy out
The Attempt at a Solution
I understand how to use the formula but what i don't understand is where the formula comes from. I am guessing it has to do with Fx=Kx...
Homework Statement
A 6 gram ball moving north at a rate of 3 m/s collides head on with an identical ball moving south at 2.0 m/s. The collision is elastic and the first ball moves south at 1 m/s. What is the velocity of the second ball?
Homework Equations
Law of conservation of...
Homework Statement
I'm doing a lab where a known mass is suspended by a spring. All that is known is the mass of the weight used and the length of the elongation of the spring, and I need to find the elastic potential energy of the spring and the spring constant, K.
Homework Equations...
Homework Statement
a moving train collides with a train that is not moving, and the trains use their springy bumpers to bounce off of each other without damage. Assume diff masses for train A and B. Identify your isolated system, solve for the final velocity of EACH train in terms of INITIAL...
Homework Statement
Draw a free body diagram showing all the forces on the elastic band, and a free body diagram showing all the forces on the bag of coins
Homework Equations
F=-kx
F=mg
The Attempt at a Solution
I drew the forces on the elastic band as T = mg (m = mass of coins...
Contact mechanics, "elastic bedding"
Hello!
I need some help regarding my problem.
I have a solid shaft with a mounted ring on it. The has a higher E-modulus than the shaft.
A force F is acting downwards on the ring. As seen in the picture. The force could be assumed to be a point load if...
I am trying to predict elastic wheel deformation. I am not quite sure how to do it. How might one approach the problem?
Take a steel wheel: 6 in. diameter, 2 in. thick, with a contact force of 1000lbs
E = 30,000,000 psi
Poisson ratio: .27
Would one calculate this in finite layers...
Homework Statement
a force of 2.0 N is needed to push a .1k jack in the vox into its box, an operation in whihc the spring is compressed .1 m. what will be eh maximum speed of the jack in the box when it comes out?
Homework Equations
k=f/x
T=2pi(sq.root(m/k)
Vmax=(2piA)/T
The...
A 2.40 kg object is hanging from the end of a vertical spring. The spring constant is 40.0 N/m. The object is pulled 0.200 m downward and released from rest. Complete the table below by calculating the translational kinetic energy, the gravitational potential energy, the elastic potential...
Homework Statement
A spring has a force constant of 30000 N/m. How far must it be stretched for it's potential energy to be 47 J? Answer in units of m.Homework Equations
Us= 1/2k(∆x)^2The Attempt at a Solution
47= 1/2 (30000)(x)^2
47=15000(x)^2
-14953= x^2
√14953= 122.28
[solved] finding final velocity in a perfectly elastic collision
~~~Two marbles with equal masses collide. Marble A has an initial velocity of 1.69 m/s while marble B is initially at rest. If marble A comes to rest as a result of the initial collision, what is the final velocity of marble B...
Homework Statement
In an elastic collision between an alpha particle and an unknown nucleus at rest, the alpha particle was deflected through a right angle and lost 40 percent of its energy . Identify the mysterious nucleus.
Homework Equations...
Homework Statement
In an elastic collision between a proton and a helium nucleus at rest, the proton was scattered through an angle of 45 degrees. What proportion of its initial energy did it lose? what was the recoil angle of the helium nucleus?
Homework Equations...
[RESOLVED] Potential Elastic Energy & Kinetic Energy
Homework Statement
A mass of 8.0 kg arrives at a spring, with the K coefficent (constante de rappel in french) of 250 N/m with a speed of 5.0 m/s It hits the spring and returns in the other way.
Homework Equations
E= 1/2mv^{2}
E=...
Homework Statement
Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in an elastic, glancing collision. The yellow disk is initially at rest and is struck by the orange disk moving with a speed of 5.40 m/s. After the collision, the orange disk moves along a...
Homework Statement
The staples inside a stapler are kept in place by a spring with a relaxed length of 0.115 m. If the spring constant is 51 N/m, how much elastic potential energy is stored in the spring when its length is 0.150 m?
Ok, so:
Relaxed length= 0.115 m
k= 51 N/m
x= .150-.115=...
Homework Statement
A neutron in a nuclear reactor makes an elastic head-on collision with the nucleus of a carbon atom initially at rest.
(a) What fraction of the neutron's kinetic energy is transferred to the carbon nucleus? (The mass of the carbon nucleus is about 12 times the mass of...
1. Homework Statement
2 pendulums collide and stick together after being released from rest at angle Ø (each one is at Ø)
pendulum 1 mass is 2m, pendulum 2 mass is m
What is the final swing angle of the stuck together masses? in what direction is the swing?
repeat for elastic collision...
Homework Statement
A 2-kg block falls from rest a vertical distance of 0.75 meters above the top of a spring. The block lands on top of the spring compressing it 0.35 meters from its equlibrium position.
a) What is the gravitational potential energy of the 2-kg mass just before it is...
Homework Statement
2 objects A & B rolling along a frictionless horizontal surface. object A of mass 1 kg is initially moving to the left @ 2 m/s while object B of mass 0.5 kg moves to the right @ 1 m/s. What is the velocity of each object after the collision if the collision is elastic...