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A block is projected up a frictionless inclined plane with

Chapter , Problem 31

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QUESTION:

A block is projected up a frictionless inclined plane with initial speed v0 3.50 m/s. The angle of incline is 32.03. (a) How far up the plane does the block go? (b) How long does it take to get there? (c) What is its speed when it gets back to the bottom?

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QUESTION:

A block is projected up a frictionless inclined plane with initial speed v0 3.50 m/s. The angle of incline is 32.03. (a) How far up the plane does the block go? (b) How long does it take to get there? (c) What is its speed when it gets back to the bottom?

ANSWER:

Step 1 of 3 a) Consider the fact that the direction of block is opposite to the direction of force so we can write Newton's second law in the X direction as. That is, ............(1) The final velocity can write using the kinematics equation as, That is, Implies, The final velocity of the block is zero. ............(2) The position where the block stops moving is given by, Put the value from equation two in the above equation.\n Put the value from equation one in the above equation. The initial speed of the block, The angle of the incline plane, So, The block will move to a distance .

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