Ablock of mass 3.5 kg slides down a frictionless inclined plane of length 6.4 m that makes an angle of 30 degrees with the horizontal. if the block is released from rest at the top of the incline, what is its speed at the bottom

The speed of the block at the bottom is 7.92 m/s.

Explanation:

Given that,

Mass of block = 3.5 kg

Length l = 6.4 m

Horizontal angle = 30°

According to figure,

Using balance equation

Here, m = mass of block

a = acceleration of the block

Using equation of motion

Hence, The speed of the block at the bottom is 7.92 m/s.

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