phsx205_hw07a_solutions

phsx205_hw07a_solutions - Phys 205 Chapter 7 Solutions...

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Phys 205 Chapter 7 Solutions (Part 1) 7.20 Two objects of mass m and 3 m undergo a completely inelastic collision in one dimension. If the two objects are at rest after the collision, what was the ratio of their speeds before the collision? This is a completely inelastic collision problem. Given: Masses: m, 3 m Final velocity: v f = 0 We want to find the ratio of their initial speeds. We can use conservation of momentum. For a completely inelastic collision, we have: m 1 v 1 i + m 2 v 2 i = ( m 1 + m 2 ) v f mv 1 i + 3 mv 2 i = 0 v 1 i = - 3 mv 2 i v 1 i v 2 i = - 3 The smaller mass will be traveling in the opposite direction as the larger mass with three times the speed. 7.21 Two particles of mass m 1 = 1 . 5 kg and m 2 = 3 . 5 kg undergo a one-dimensional head-on collision as shown in the Figure. Their initial velocities along x are v 1 i = 12 m / s and v 2 i = - 7 . 5 m / s. The two particles stick together after the collision ( a completely inelastic collision), (a) Find the velocity after the collision. (b) How much kinetic energy is lost in the collision? Fig. P7-21, p. 236 This is a completely inelastic collision problem. Given: Masses: m 1 = 1 . 5 kg , m 2 = 3 . 5 kg Initial velocities: v 1 i = 12 m / s , v 2 i = - 7 . 5 m / s (a) We want to find their velocity after the collision. We can use conservation of momentum. For a completely
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phsx205_hw07a_solutions - Phys 205 Chapter 7 Solutions...

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