A solid block X of mass Mx may be placed at different locations along a cunved ramp. 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. Agroupof 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 together. Figure 2 shows both blocks after the colision. Frictional forces between block Xand the ramp and between both blocks and the horizontal surface are considered to be negligible. LState the basic physics principles, laws, or eguations that students could use to graphically determine the relationship between the nelease height of block X and the speed at which the twoblock system travels after the blocks collide and stick together BIV X x, 5 Ca E E R 0/10000 Word Limit Derive an equation that relates the initial release height Hs of block X and the speed , of the two-block system after the colision in terms of Mx. Mr, and fundamental constants, as appropriate B I V X x, 5 C A E E A /10000 Word Limit ) Design an experimental procedure the students could use to graphically determine the relationship between the nelease height of block Xand tthe speed at which the two-block system travels after the blocks collide and stick together In the table below, list the quantities and associated symbols that would be measured in your experiment and the equipment used to measure them. Alsolist the equipment that would be used to measure each quantity You do not need to f inevery row. If you need additional rows, you may add them to the space just below the table. Quantity to be Measured Smbol for Quantity Equipment for Measurement Lrefering rovide enough neplicate the experiment, including any stepa necessary to reduce experimental uncertainty.

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ISBN:9781305952300
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A solid block X of mass Mx may be placed at different locations along a curved ramp. 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 together.
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.
(a)
i. 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.
В
I
x? x, 5
0/ 10000 Word Limit
ii. 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.
I
x2
Ω
0 / 10000 Word Limit
(b) 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.
In the table below, list the quantities and associated symbols that would be measured in your experiment and the equipment used to measure them. Also list the equipment that would be used to measure each quantity. You do not need to fill in every row. If you need additional rows, you may add them to the space just below the table.
Quantity to be Measured
Symbol for Quantity
Equipment for Measurement
Describe the overall procedure to be used, referring to the table. Provide enough detail so that another student could replicate the experiment, including any steps necessary to reduce experimental uncertainty.
В
I
x2 X, 5
Ω
0 / 10000 Word Limit
!!!
Transcribed Image Text:A solid block X of mass Mx may be placed at different locations along a curved ramp. 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 together. 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. (a) i. 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. В I x? x, 5 0/ 10000 Word Limit ii. 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. I x2 Ω 0 / 10000 Word Limit (b) 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. In the table below, list the quantities and associated symbols that would be measured in your experiment and the equipment used to measure them. Also list the equipment that would be used to measure each quantity. You do not need to fill in every row. If you need additional rows, you may add them to the space just below the table. Quantity to be Measured Symbol for Quantity Equipment for Measurement Describe the overall procedure to be used, referring to the table. Provide enough detail so that another student could replicate the experiment, including any steps necessary to reduce experimental uncertainty. В I x2 X, 5 Ω 0 / 10000 Word Limit !!!
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
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 M. 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
both blocks immediately after the collision, as shown in the table.
assuming that the collision is perfectly elastic. They then collect data about the actual speeds of
(c) Why does the predicted speed of block Z after the collision not agree with the actual speed of block Z after the collision?
B
I
X2
X, 5
Ω
0 / 10000 Word Limit
Transcribed Image Text: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 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 M. 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 both blocks immediately after the collision, as shown in the table. assuming that the collision is perfectly elastic. They then collect data about the actual speeds of (c) Why does the predicted speed of block Z after the collision not agree with the actual speed of block Z after the collision? B I X2 X, 5 Ω 0 / 10000 Word Limit
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