Question

A small block travels up a frictionless incline that is at an angle of 30.0° above the horizontal. The block has speed 4.15 m/s at the bottom of the incline. Assume g = 9.80 m/s2. How far up the incline (measured parallel to the surface of the incline) does the block travel before it starts to slide back down?

Answer #1

Using the formula,

We can find the component of vector acceleration in x axis applying Newton's second law on the small block. The following figure shows a free body diagram of the block,

inserting eq. (2) into (1), we have

inserting data given,

or

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