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Blocks A (mA = 5.00 kg) and B (mB = 8.00 kg) are connected by a string that runs over an ideal, massless and frictionless pulley. The coefficient of friction between block A and the inclined plane is μk = 0.250. The system starts from rest. Use energy methods to determine the kinetic energy of block A after it moves a distance of 1.50 m along the inclined plane.(The angle block a is at is 30 degrees)
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a. What is the change in the potential energy of block A?
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What is the change in the potential energy of block B?
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b. What is the work done by friction?
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c. What is the common speed of the blocks?
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d. What is the kinetic energy of block A?
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Mass of the block A is 5 kg.
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Mass of the block B is 8 kg.
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The coefficient of friction between block A and the inclined plane is μk = 0.250.
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Inclination angle is 30°.
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Block A moves a distance of 1.50 m along the inclined plane.
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Find the change in the potential energy of block A.
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The change in potential energy can be given as ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=043e6cc884a8df924aa219c201e49066.png\")
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The change in potential energy of block A is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=1a7e6b47bdc5b46e5ab5050990056eb1.png\")
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![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=14639157f3ad2ebcf9f5dd84297c5923.png\")
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The change in potential energy of block B is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f32524337e87204d73f0376d4297bf6e.png\")
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![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8681c098da56c2c438c9074890896bf3.png\")
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Mass of the block A is 5 kg.
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Mass of the block B is 8 kg.
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The coefficient of friction between block A and the inclined plane is μk = 0.250.
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Inclination angle is 30°.
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Work done by the friction is given as ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=2493d8e63216757abd172f5d8ecf1768.png\")
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Where m is the mass of two blocks.
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g is acceleration due to gravity (9.8 m/s²),
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μk is coefficient of friction,
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![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=401dfc03d5a8a06a3a1afbe88b95cc4f.png\")
is inclination angle.
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![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f89e03740bf992b895a79afb0555d8e2.png\")
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Therefore work done by the frictional force is 10.60 J.
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