On a frictionless canvas a 6.5 kg block can slide along the x-axis and is subjected to a force of 90 N in the +x direction while it travels 15 m. The bļock is initially at rest. Using the work-energy theorem, compute the final speed after the block has moved 10 m.
On a frictionless canvas a 6.5 kg block can slide along the x-axis and is subjected to a force of 90 N in the +x direction while it travels 15 m. The bļock is initially at rest. Using the work-energy theorem, compute the final speed after the block has moved 10 m.
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Transcribed Image Text:**Problem Statement:**
On a frictionless canvas, a 6.5 kg block can slide along the x-axis and is subjected to a force of 90 N in the +x direction while it travels 15 m. The block is initially at rest.
- **Task:** Using the work-energy theorem, compute the final speed after the block has moved 10 m.
**Explanation:**
This problem involves applying the work-energy theorem, which relates the work done on an object to its change in kinetic energy. Since the surface is frictionless, we only consider the work done by the external force applied to the block. Given the block's mass, the force applied, and the distance over which it acts, you can determine the block's final velocity using the following steps:
1. Calculate the work done on the block.
2. Relate this work to the change in kinetic energy.
3. Solve for the final velocity of the block assuming it starts from rest.
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