A block of mass 400 g is initially held a the bottom of an inclined surface against the spring which is compressed 0.2 m. The block is realeased up a surface to a vertical height of h=1.3m. The force constant of the spring is k=500 N/m, the coefficient of friction between the block and the incline is 0.3, and angle of the incline is 25 degrees. Find the speed of the block at the top of the incline.

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Chapter1: Units, Trigonometry. And Vectors
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A block of mass 400 g is initially held a the bottom of an inclined surface against the spring which is compressed 0.2 m. The block is realeased up a surface to a vertical height of h=1.3m. The force constant of the spring is k=500 N/m, the coefficient of friction between the block and the incline is 0.3, and angle of the incline is 25 degrees. Find the speed of the block at the top of the incline.

Expert Solution
Step 1

Given quantities:

Mass of the block (m) = 400 g

compression in the spring (x) = 0.2 m

vertical height of the inclined surface (h) = 1.3 m

force constant of the spring (k) = 500 N/m

coefficient of friction between block and inclineμ = 0.3 

angle of the incline θ = 25 degrees

 

This problem can be solved by using energy conservation. The initial potential energy due to the compression of the spring will be converted into kinetic energy, potential energy due to height and some amount of energy will be lost due to friction.

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