Solved: A 5.00-kg package slides 1.50 m down a long amp

Chapter 6, Problem 68P

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QUESTION:

Problem 68P

A 5.00-kg package slides 1.50 m down a long amp that is inclined at 24.0° below the horizontal. The coefficient of kinetic friction between the package and the ramp is μk = 0.310 Calculate (a) the work done on the package by friction; (b) the work done on the package by gravity; (c) the work done on the package by the normal force; (d) the total work done on the package. (e) If the package has a speed of 2.20 m/s at the top of the ramp, what is its speed after sliding 1.50 m down the ramp?

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QUESTION:

Problem 68P

A 5.00-kg package slides 1.50 m down a long amp that is inclined at 24.0° below the horizontal. The coefficient of kinetic friction between the package and the ramp is μk = 0.310 Calculate (a) the work done on the package by friction; (b) the work done on the package by gravity; (c) the work done on the package by the normal force; (d) the total work done on the package. (e) If the package has a speed of 2.20 m/s at the top of the ramp, what is its speed after sliding 1.50 m down the ramp?

ANSWER:

Solution 68P

Mass of the package is 5 kg.

The length of the inclined plane is 1.5 meters.

The angle of inclination is .

Coefficient of kinetic friction is, .

a)

The frictional force is,

         

The direction of frictional force is antiparallel to the direction of displacement.

So, the work done by the frictional force is,

        .

The minus sign indicates the work done is negative.

b)

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