Soccer - What was the impulse on the soccer ball

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To calculate the impulse delivered to the soccer ball, the direction of the velocities must be considered. The initial velocity of the ball is 18 m/s to the north, while the final velocity after being struck is 24 m/s to the south, which is treated as negative. Using the impulse formula, the calculation involves subtracting the initial momentum from the final momentum, resulting in an impulse of -42 kg·m/s. Understanding the sign convention for direction is crucial in solving this problem correctly. The discussion emphasizes the importance of consistently applying direction in momentum calculations.
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Homework Statement


A 0.40 kg soccer ball approaches a 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 24 m/s.
What impulse was delivered to the ball by
the player? Answer in units of kg · m/s.

2. Homework Equations
M(v)f-M(v)i=impulse

The Attempt at a Solution


i did (.4kg)(24m/s)-(.4kg)(18m/s) and i got it wrong so if u can please help
 
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gansta344u said:

Homework Statement


A 0.40 kg soccer ball approaches a 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 24 m/s.
What impulse was delivered to the ball by
the player? Answer in units of kg · m/s.

2. Homework Equations
M(v)f-M(v)i=impulse

The Attempt at a Solution


i did (.4kg)(24m/s)-(.4kg)(18m/s) and i got it wrong so if u can please help


The key here is direction.

If it comes in at 18m/s and reverses then it returns at -24m/s.

-24 - 18 = -42
 


The key to this is directions. Choose one and then all velocities are either positive or negative relative to that. Does that help?

The Bob

P.S. It's not my night; second after post, apologies once again.
 
Last edited:
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .

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