Hint: this problem requires a train of logic. (1) analyze force diagram, (2) use newton’s laws, and (3) solve the equations of motion. a block starts from rest at a height of 3.9 m on a fixed inclined plane. the acceleration of gravity is 9.8 m/s 2 . 3.8 kg µ = 0.12 31◦ what is the speed of the block at the bottom of the ramp? answer in units of m/s.

The final velocity of the block at the bottom of the ramp is 7.82 m/s.

The given parameter;

The vertical component of the force is calculated as;

The horizonal component of the force is calculated as;

The final velocity of the block at the bottom of the ramp is given as;

where;

s is the distance along the inclined plane traveled by the block

This distance = hypotenuse side of the triangle formed by plane

The final velocity of the block at the bottom of the ramp is calculated as;

Thus, the final velocity of the block at the bottom of the ramp is 7.82 m/s.

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it is the second option.