An 80kg student running at 3.50m/s grabs a rope that is hanging vertically. How high will the student swing?

The student will swing to a height of 61.25 cm.

Explanation:

Given that,

Mass of the student, m = 80 kg

Speed of student, v = 3.5 m/s

The student running at this speed grabs a rope that is hanging vertically. In the whole process, the energy of the system remains conserved. So, using conservation of energy to find the height reached by the student. So,

h is height reached by the student

So, the student will swing to a height of 61.25 cm.

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.

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