A 6.60-kg block slides with an initial speed of 1.56 m/s up a ramp inclined at an angle of 28.4° with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.62.
1. Use energy conservation to find the distance the block slides before coming to rest.

The distance travel by block before coming to rest is 0.122 m

Explanation:

Given:

Mass of block kg

Initial speed of block

Final speed of block

Coefficient of kinetic friction

Ramp inclined at angle 28.4°

Using conservation of energy,

Work done by frictional force is equal to change in energy,

Where

  m

Therefore, the distance travel by block before coming to rest is 0.122 m

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