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Magnitude of force and acceleration

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A 4.44 kg block located on a horizontal frictionless floor is pulled by a cord that exerts a force F=10.7N at an angle theta=22.0degrees above the horizontal, as shown. What is the magnitude of the acceleration of the block when the force is applied?

What is the magnitude of the normal force acting on the block when the force F is acting on it?

If, instead, the floor has a coefficient of kinetic friction µk = 0.04, what is the magnitude of the frictional force on the block when the block is moving?

What is the magnitude of the acceleration of the block when friction is being considered?

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Solution Summary

This solution provides step by step calculations for finding the magnitude of force and acceleration.

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Please see the attached file.

Newton's second law states that the acceleration vector is proportional to the total force vector:

Since we are dealing with vectors, this means that this relation apply to all components of the vector:

In our case the forces in the system look like:

The normal force N is the result of Newton's third law. The box ...

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