A block of mass m slides along a horizontal frictionless surface with an initial speed vo. After sliding a distance 2.0m along the surface, the block encounters a frictionless ramp inclined at angle to the horizontal. The block slides a distance d along the ramp before momentarily coming to rest. (A) Draw a diagram which shows the block with initial speed along the surface and then sliding distance d up the surface of the ramp. Include the direction of the velocity of the block and show the direction of any forces acting on the block at these two stages in the experiment. (B) Starting with relevant equations for kinetic, potential energy, and/or work, develop a relationship for the distance traveled d along the inclined ramp in terms of initial speed vo, gravity g, and ramp angle. Show that the relationship is independent of the mass of the block m. (C) Find distance d traveled up the ramp if the mass of the block is 3.0kg, the initial speed of the block on the horizontal surface is 7.0m/s, and the angle of the ramp is 40⁰.

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1. At the top of the page write your name and problem version (A, B, or C)
2. Carefully read the problem
3. Write your solution to each sub-section separately (A, B, C) on paper
Your solution can be turned in two ways:
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Make sure your file is in jpeg or pdf format (other formats will need to be converted).
Upload your scanned solution using the "Choose a File" button beneath
B. Turn in a hard-copy with your name on it to SRTC 134 by 12:45PM
Version C
A block of mass m slides along a horizontal frictionless surface with an initial speed vo. After sliding a
distance 2.0m along the surface, the block encounters a frictionless ramp inclined at angle to the
horizontal. The block slides a distance d along the ramp before momentarily coming to rest.
(A) Draw a diagram which shows the block with initial speed along the surface and then sliding
distance d up the surface of the ramp. Include the direction of the velocity of the block and show the
direction of any forces acting on the block at these two stages in the experiment.
(B) Starting with relevant equations for kinetic, potential energy, and/or work, develop a relationship
for the distance traveled d along the inclined ramp in terms of initial speed vo, gravity g, and
ramp angle. Show that the relationship is independent of the mass of the block m.
(C) Find distance d traveled up the ramp if the mass of the block is 3.0kg, the initial speed of the
block on the horizontal surface is 7.0m/s, and the angle of the ramp is 40°.
Transcribed Image Text:Free answer instructions: 1. At the top of the page write your name and problem version (A, B, or C) 2. Carefully read the problem 3. Write your solution to each sub-section separately (A, B, C) on paper Your solution can be turned in two ways: A. Scan or take a photo of your solution - make sure your scan is legible Make sure your file is in jpeg or pdf format (other formats will need to be converted). Upload your scanned solution using the "Choose a File" button beneath B. Turn in a hard-copy with your name on it to SRTC 134 by 12:45PM Version C A block of mass m slides along a horizontal frictionless surface with an initial speed vo. After sliding a distance 2.0m along the surface, the block encounters a frictionless ramp inclined at angle to the horizontal. The block slides a distance d along the ramp before momentarily coming to rest. (A) Draw a diagram which shows the block with initial speed along the surface and then sliding distance d up the surface of the ramp. Include the direction of the velocity of the block and show the direction of any forces acting on the block at these two stages in the experiment. (B) Starting with relevant equations for kinetic, potential energy, and/or work, develop a relationship for the distance traveled d along the inclined ramp in terms of initial speed vo, gravity g, and ramp angle. Show that the relationship is independent of the mass of the block m. (C) Find distance d traveled up the ramp if the mass of the block is 3.0kg, the initial speed of the block on the horizontal surface is 7.0m/s, and the angle of the ramp is 40°.
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