What Is the Magnitude of the Impulse Delivered to the Football?

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SUMMARY

The magnitude of the impulse delivered to a football weighing 0.445 kg, thrown at a speed of 15.1 m/s and caught in 0.012 seconds, is calculated using the impulse formula. The correct approach involves using the change in momentum, Δp = m*Δv, where Δv is the change in velocity. The impulse is found to be 5.34 kg·m/s, confirming that the initial calculation focused incorrectly on force rather than impulse.

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  • Understanding of impulse and momentum concepts
  • Familiarity with the formula for impulse: Impulse = m*Δv
  • Basic knowledge of Newton's second law: F = m*a
  • Ability to calculate average acceleration using Δv and time
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A(n) 0.445 kg football is thrown with a speed
of 15.1 m/s. A stationary receiver catches the
ball and brings it to rest in 0.012 s.
What is the magnitude of the impulse de-
livered to the ball?
Answer in units of kg · m/s

f=m*a
Δp=m*Δv


i used f= ma since a= Δv/t
i got F= .445 kg * 1258.3 ms^-2= 559.94
BUT THIS IS WRONG. any help would be nice 0,o
maybe my understanding of an impulse is wrong?
 
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You found the force. The question asked for impulse. Use impulse = m*Δv or F*Δt
 

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