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Problem from 1996 Exam A ball of mass 700g is fastened to a cord 800mm long and fixed at the far end at a support, and is released when the cord is horizontal. At the bottom of its path, the ball strikes a stationary 350g ball suspended from the same support with a cord 800mm long. The two balls stick together after the collision.
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The spheres are modelled as particles moving on a smooth horizontal plane. Find the coefficient of restitution between the two spheres. Consequently, sphere Q collides directly with a third sphere R of mass 6m which is initially at rest. The collision between Q and R is perfectly elastic.
- 7.1.1 Linear Momentum
- 7.1.2 Impulse, Average Force
- 7.1.6 The Motion of a System of Particles
The linear momentum of a particle with mass m moving with velocity v is defined as
When a particle moves freely then interacts with another system for a (brief) period and then moves freely again, it has a definite change in momentum; we define this change as the impulse I of the interaction forces:
A system of many particles (or an extended object) in general has a motion for which the description is very complicated, but it is possible to make a simple statement about the motion of its center of mass. Each of the particles in the system may feel forces from the other particles in the system, but it may also experience a net force from the (e...
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OBJECTIVES. 1. To explore the applicability of conservation of momentum to the mutual interactions among objects that experience no exter-nal forces (so that the system of objects is isolated). 2.
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Example 1: A particle has a mass of 3kg and is travelling along a smooth horizontal surface with velocity 10ms−1. It collides with particle which has a mass of 2kg and is travelling in the opposite direction with a velocity of -8ms−1. a.) Find the momentum of particle before the collision. b.)
When a collision occurs between two smooth spheres: The impulse from each sphere acts along the line of centres (through the point of contact). The component of velocity of each sphere perpendicular to the line of centre remains the same.
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Chapter 9 – Linear Momentum and Collisions. This chapter is about the concept of linear momentum. Linear momentum is defined as . p = mv. [kg⋅m/s] Momentum is a vector whose direction is the same as the velocity. So, in 2-D. px = mvx, py = mvy. Momentum is not the same as kinetic energy. K = 1⁄2 mv2 is a scalar and has no direction.
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