Force and Momentum of diving board

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SUMMARY

This discussion focuses on calculating forces and impulses in physics problems involving a diving board scenario and a soccer ball interaction. The first problem involves an 82 kg man who drops from a height of 3 m, requiring the application of conservation of energy to find his velocity before impact and subsequently determining the force exerted by water as he comes to rest in 0.55 seconds. The second problem involves a 0.40 kg soccer ball struck by a player, reversing its direction and requiring the calculation of impulse delivered. The third problem examines the motion of a 0.50 kg object acted upon by a 3 N force followed by a 4 N opposing force, necessitating the use of Newton's second law and impulse-momentum theorem.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of impulse and momentum
  • Knowledge of conservation of energy principles
  • Ability to perform basic kinematic calculations
NEXT STEPS
  • Study the impulse-momentum theorem in detail
  • Learn about conservation of energy in mechanical systems
  • Explore kinematic equations for uniformly accelerated motion
  • Investigate the effects of forces over time on object motion
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Physics students, educators, and anyone interested in understanding the dynamics of forces and motion in real-world scenarios, particularly in sports and mechanical applications.

JLPhysics
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I wanted to post this in Homework but for some reason I can't.
Does anyone know the formulas for these problems?

An 82 kg man drops from rest on a diving board 3 m above the surface of the water and comes to rest .55 s after reaching the water. What force does the water exert on him?

A .40 kg soccer ball aproaches a football player horizontally with a velocity of 18 m/s to the north. The player strikes the ball and causes it to move in the opposite direction with a velocity of 22 m/s. What impulse was delivered to the ball bythe player?

A .50 kg object is at rest. A 3 N force to the right acts on the object during a time interval of 1.50 s. What is the velocity of this object at the end of this interval? At the end of this interval a constant force of 4 N to the left is applied for 3 s. What is the velocity at the end of the 3 s?
 
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One needs to show some work and effort when requesting assistance.

Here is a reference on impulse - http://hyperphysics.phy-astr.gsu.edu/hbase/impulse.html

In the first problem, an 82 kg man falls 3 m, so one calculates the kinetic energy by conservation of energy. From KE, one determines the velocity. Then in the water the man slows to rest (V=0) in 0.55 s.

Please try the other problems.
 

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