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1. State the basic physics principles, laws, or equations that students could use to graphically determine the relationship between the release height of block X and the speed at which the two-block system travels after the blocks collide and stick together.
2. Derive an equation that relates the initial release height HX of block X and the speed vs of the two-block system after the collision in terms of MX, MY, and fundamental constants, as appropriate.
3. Design an experimental procedure the students could use to graphically determine the relationship between the release height of block X and the speed at which the two-block system travels after the blocks collide and stick together.

Block X Block Y Figure 1. Initial Locations of the Blocks Two—Block System Figure 2. After the Collision A solid block X of mass Mx may be placed at different locations along a curved rampt At the bottom of the ramp is a solid block Y of mass My that is at rest on a horizontal surface Figure 1 shows both blocks
before block X is released A group of students must graphically determine the relationship between the release height of block X and the speed at which the two-block system travels after the blocks collide and stick
togethert Figure 2 shows both blocks after the collision‘ Frictional forces between block X and the ramp and between both blocks and the horizontal surface are considered to be negligible
Block W
M
Block Z
M
Figure 3. Initial Locations of the Blocks
Block W
Block Z
M
M
Figure 4. After the Collision
Actual Speed of Block W After Collision (m/s)
Actual Speed of Block Z After Collision (m/s)
Predicted Speed of Block Z After Collision (m/s)
0.1
1.32
1.57
0.1
1.63
1.98
-0.2
2.11
2.43
0.0
2.53
2.71
Students repeat the experiment but replace block X and block Y with block W and block Z, as shown in Figure 3‘ Block W and block Z have identical mass Mt When the experiment is conducted, the students
observe that the blocks do not stick together, as shown in Figure 4‘ The students predict the speed of block Z after the collision by assuming that the collision is perfectly elastic They then collect data about the actual
speeds of both blocks immediately afterthe collision, as shown in the tablet (c) Why does the predicted speed of block Z after the collision not agree with the actual speed of block Z after the collision?

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Subject: Physics, Science

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