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A 4.00 kg block is released from rest at the top of a frictionless plane of leng

ID: 1377452 • Letter: A

Question

A 4.00 kg block is released from rest at the top of a frictionless plane of length 8.0 m that is inclined at an angle of 15 degrees to the horizontal. A cord is attached to the block and trails along behind it (see figure below). When the block reaches a point 5.0 m along the incline from the top, someone grasps the cord and exerts a constant tension parallel to the incline. The tension is such that the block just comes to rest when it reaches the bottom of the incline. (The person's force is a A 4.00 kg block is released from rest at the top of a frictionless plane of length 8.0 m that is inclined at an angle of 15 degrees to the horizontal. A cord is attached to the block and trails along behind it (see figure below). When the block reaches a point 5.0 m along the inlcine from the top, someone grasps the cord and exerts a constant tension parallel to the incline. The tension is such that the block just comes to rest when it reaches the bottom of the incline. (The person's force is a nonconservative force.) What is the constant tension?

Explanation / Answer

Solution: When the body slides down the inclined plane by 5m, it actually descends a distance of (5 x sin 15

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