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Work Energy Theorem Application

A block of ma...

Question

A block of mass m= $2$ kg is attached to a spring whose spring constant is k= $8$ N/m The block slides on an incline for which If the block starts at rest with the spring unextended, what is its speed when it has moved a distance d= $0.5$ m down the incline?

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Solution

Contact force is the resultant of Frictional force and normal reaction force.
The frictional force can be calculated as $= 0.5 x m g cos θ . = 0.5 x 2 x 10 x \sqrt{\frac{3}{2}}$

normal reaction force is $m g cos θ$ . $= 2 x 10 \times \sqrt{\frac{3}{2}}$

They are at $90^{0}$ to each other therefore find out their resultant and that shall be the resultant contact force.

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