Question

An object of mass m1 approaches with velocity v1 another object of mass m2, which is at rest, next to a spring having force constant k. The spring is fixed to a wall and m2 can compress the spring. This is one-dim horizontal collision without friction. We consider two collision scenarios, one which is perfectly inelastic, and the other which is elastic. (a) In the first collision case the object m1 strikes m2 and sticks. Moving together, they compress the spring. Find the velocity u of both m1 and m2 just after the collision. (b) Find the distance A1 through which the spring is compressed. (c) In the second collision case, object m1 bounces off m2 elastically: the total kinetic energy is conserved. Find the velocities u1 and u2 of both objects just after the collision. (d) Find the distance A2 to which the object m2 compresses the spring. (e) Under what condition imposed on the masses m1 and m2 will A1=A2?

Answer #1

Object 1, m1 = 3kg, collides and permanently sticks together
with a stationary second object, m2 = 2kg. After the collision,
they bounce off a moving third object, m3 = 2kg. If v1,i = +3m/s,
v3,i = −2m/s, and object 3 bounces off at twice the speed it comes
in, what are the final velocities of m1 and m2? Note that m1 and m2
are still stuck together.

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Consider object-1 of mass m1=652gram moving on the +X axis with
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A ball of mass m1=0.250 kg and velocity v1=5.00 m/s
[E] collides head-on with a ball of mass m2=0.800 kg that is
initially at rest. No external forces act on the balls.
a. Show what is conserved through the appropriate formula if the
collision is elastic.
b. What are the velocities of the balls after the
collision?

There is an object-1 of mass m1=1.84kg moving on +x-axis with
the velocity of v1=7.62m/s. Object-1 is explode into two segments
of masses m2=0.74 kg and m3=1.10kg. Mass m2 moves in +28 degrees
direction on xy plane with the velocity of 1.57m/s.
a) Find the x and y-components of velocity of mass m3 after
collision? [Hint: you can assume the direction of m3 in any
direction on xy plane with velocity components]
b) Find the velocity component of x-direction of...

A particle with mass m1=250m1=250 g is moving with a velocity of
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An object with mass m1 = 3.70 kg, rests on a
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passes over a pulley and is then fastened to a hanging object with
mass m2 = 10.8 kg, as shown in the figure.
Two objects labeled m1 and
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Object m1 lies on a horizontal table with
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The cable extends horizontally from the right side...

Two billiard balls of mass m1 = 0.5 kg and m2 = 1.5 are hit at a
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A block with mass m1 = 10 kg moving at 5 m/s collides with
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(a) What is their common final velocity, vf ?
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1) Consider an object of mass m1 =
0.425 kg moving with a uniform speed of 6.65 m/s on a frictionless
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another object of mass m2 = 0.555
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m1 immediately after collision. (b)
Find the speed of m2 immediately after
collision.
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kg starts from rest at point and slides down
an incline surface that makes...

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