What is the average force on the wall?

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SUMMARY

The average force exerted on the wall by a ball with a mass of 0.5 kg, impacting at an initial velocity of 10 m/s and rebounding at the same speed, is calculated using the formula F = m * a. The acceleration (a) is determined to be -50 m/s², leading to a force of 25 N. However, the correct average force is 50 N, as the final velocity should be considered in the calculation of momentum change during the impact.

PREREQUISITES
  • Understanding of Newton's Second Law (F = m * a)
  • Knowledge of basic kinematics, specifically velocity and acceleration
  • Familiarity with the concept of impulse and momentum
  • Ability to perform calculations involving units of mass, velocity, and force
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  • Review the concept of impulse and its relation to force and time
  • Study the derivation and application of the impulse-momentum theorem
  • Learn about elastic and inelastic collisions in physics
  • Explore advanced kinematic equations for varying acceleration scenarios
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to force and motion.

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Homework Statement


A ball hits the wall in a normal direction with v=10m/s. After the hit which lasted 0.2 Seconds, it turned in the same direction with v=10m/S. Knowing that its mass is 0.5 kg, find the average force that hit the wall.

Homework Equations


F=m*a, a= (v-v0)/t

The Attempt at a Solution


a=(0-10)/0.2=-50m/S2, F= 50*0.5= 25N, but the answer is 50N
 
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