Table 1: Inelastic Collisions

Table 1a: Both masses are equal. The initial velocities are equal and opposite.
m1	v1i	p1i	v1f	p1f
1.50 Kg	1 m/s	1.5 kg m/s	0 m/s	0 kg m/s
m2	v2i	p2i	v2f	p2f
1.50kg	-1m/s	-1.5 kg m/s	0m/s	0 kg m/s
Total Eki	Total Ekf	Ekf/Ekias %	p1i + p2i	p1f + p2f
1.50 J	0 J	0 %

Table 1b: mass 1 is larger than mass 2. The initial velocities are equal in magnitude and opposite in direction.
m1	v1i	p1i	v1f	p1f
2 kg	1 m/s	2 kg m/s	0.14 m /s	0.29 kg m/s
m2	v2i	p2i	v2f	p2f
1.5 kg	-1 m/s	-1.5 kg m/s	0.14 m/s	0.21 kg m/s
Total Eki	Total Ekf	Ekf/Ekias %	p1i + p2i	p1f + p2f
1.75 J	0.04 J

Table 1c: Both masses are equal. The initial velocities are of the same direction, but mass 1 has a larger magnitude of initial velocity.
m1	v1i	p1i	v1f	p1f
1.50 kg	1.50 m/s	2.25 kg m/s	0.75 m/s	1.33 kg m/s
m2	v2i	p2i	v2f	p2f
1.50 kg	0.50 m/s	0.75 kg m/s	1.25 m/s	1.88 kg m/s
Total Eki	Total Ekf	Ekf/Ekias %	p1i + p2i	p1f + p2f
1.88 J	1.59 J

Which of the following values are roughly equal (within 0.01) in all cases? Explain using your examples.

v_1fand v_2f

p_1i + p_2iand p_1f + p_2f

Total Ek_i and Total Ek_f

Table 2: In-Between Collision

Table 2a: Both masses are equal. The initial velocities are equal and opposite. Elasticity value: 50 %
m1	v1i	p1i	v1f	p1f
1.5 kg	1.5 m/s	2.25 kg m/s	-0.75m/s	-1.13 kg m/s
m2	v2i	p2i	v2f	p2f
1.5 kg	-1.5 m/s	-2.25 kg m/s	0.75 m/s	1.13 kg m/s
Total Eki	Total Ekf	Ekf/Ekias %	p1i + p2i	p1f + p2f
3.38 J	0.84 J

Table 2b: mass 1 is larger than mass 2. The initial velocities are equal in magnitude and opposite in direction. Elasticity value: 50 %
m1	v1i	p1i	v1f	p1f
2 kg	1.5 m/s	3 kg m/s	-0.43 m/s	-0.86 kg m/s
m2	v2i	p2i	v2f	p2f
1.5 kg	-1.5 m/s	-2.25 kg m/s	1.07 m/s	1.61 kg m/s
Total Eki	Total Ekf	Ekf/Ekias %	p1i + p2i	p1f + p2f
3.94 J	1.04 J

Table 2c: Both masses are equal. The initial velocities are of the same direction, but mass 1 has a larger magnitude of initial velocity. Elasticity value: 50 %
m1	v1i	p1i	v1f	p1f
1.5 kg	2.5 m/s	3.75 kg m/s	1.75m/s	2.63 kg m/s
m2	v2i	p2i	v2f	p2f
1.5 kg	1.5 m/s	2.25 kg m/s	2.25 m/s	3.38 kg m/s
Total Eki	Total Ekf	Ekf/Ekias %	p1i + p2i	p1f + p2f
6.38 J	6.09 J

Which of the following values are roughly equal (within 0.01) in all cases? Explain using your examples.

v_1fand v_2f

p_1i + p_2iand p_1f + p_2f

Total Ek_i and Total Ek_f

True or False: A collision with an elasticity of X% means that the final total kinetic energy is always equal to X% of the initial total kinetic energy. Explain your answer using examples.

True or False: Consider two collisions with the same values for initial total kinetic energy and elasticity (not 0% or 100%) but with two different masses. Does the same % of total kinetic energy remain after the collision? Show how you came up with your answer by providing two more examples.

Please answers all of the questions with an example, and explanation.