Ch 09: Momentum & ImpulseWorksheetSee all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Concept #1: Collisions with Springs

Additional Problems
A block with mass 4.95 kg is on a horizontal frictionless surface. It rest against a horizontal spring that has force constant k = 300 N/m. Initially the spring is not compressed. A bullet with mass 0.0500 kg is travelling horizontally with speed v0 = 400 m/s. The bullet strikes the block and remains embedded in it. What is the maximum distance that the spring is compressed after the collision with the bullet?
A 1300 kg car rolling on a horizontal surface has a speed of exttip{v}{v}71 km/h when it strikes a horizontal coiled spring and is brought to rest in a distance of 2.3 m. What is the spring constant of the spring?
A 7 kg mass, moving at 10 m/s, is approaching a 5 kg mass, at rest. The 7 kg mass has a light spring, with a force constant of 1000 N/m, oriented towards the 5 kg mass so that when the masses meet, the spring will compress along its axis. When the masses collide, what distance does the spring compress by? Hint: this system doesn't loose energy during the collision.
A 5.00-kg block is moving at 6.00 m/s along a frictionless, horizontal surface toward a spring with force constant k=500 N/m that is attached to a wall. The spring has negligible mass.(a) Find the maximum distance the spring will be compressed.(b) If the spring is to compress by no more than 0.400 m, what should be the maximum value of v0?
In the figure, a block sitting on a frictionless horizontal surface is attached to a rigid wall on the right through a spring (whose axis is horizontal). A bullet is shot at the block from the left and gets embedded in it, causing the block to move to the right, thus compressing the spring. (Assume the bullet is travelling perfectly horizontally, along the axis of the spring, before hitting the block). Which of the following are true? A. The initial kinetic energy of the bullet is completely converted to spring potential energy when the spring reaches its maximal compression. B. The initial momentum of the bullet is equal to the momentum of the bullet+block system just after the bullet enters the block. C. Part of the momentum of the bullet+block system is lost during the collision (i.e. before the spring-compression starts). D. Part of the energy of the bullet+block system is ”lost” (no longer present as macroscopic kinetic energy) during the collision, before the spring-compression starts. E. If we are given the masses of the block and the bullet, the initial speed of the bullet and the spring constant, it is possible to find the maximum compression of the spring. 1. A, E 2. A, B, D 3. B, D 4. A, B 5. A, C 6. D 7. B, D, E 8. A, C, E 9. A, B, E
A 3.0-kg block slides along a frictionless tabletop at 8.0 m/s toward a second block (at rest) of mass 4.5 kg. A coil spring, which obeys Hookes law and has spring constant k exttip{k}{k}= 810 N/m, is attached to the second block in such a way that it will be compressed when struck by the moving block.(a) What will be the maximum compression of the spring?(b) What will be the final velocities of the blocks after the collision?(c) Is the collision elastic? Ignore the mass of the spring.