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$\bullet$ A movie stuntman (mass 80.0 $\mathrm{kg…

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Problem 62 Hard Difficulty

$\bullet$ A steel ball with a mass of 40.0 $\mathrm{g}$ is dropped from a height of 2.00 $\mathrm{m}$ onto a horizontal steel slab. The ball rebounds to a height of 1.60 $\mathrm{m}$ . (a) Calculate the impulse delivered to the ball during the impact. (b) If the ball is in contact with the slab for $2.00 \mathrm{ms},$ find the average force on the ball during the impact.

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Video Transcript

in this problem. We have an object off mass 40 grams, which falls from a height off two meters and then bounces back through the hide off 116 meters. We want to find out the impulse I played by the ground on the body. Now let's say the ball half fall from a height of hedge and has a velocity off. We just before it hits the ground. Using conservation of energy, you know that the traditional potential energy is equal to the kind of energy half of a square which gives us we is squared off Gucci age. This formula, which will be allowed in when studying gravity and when we started kind of medics, will be very useful here. Hence, when the ball fell from two meters, the velocity here would be square rode off. Let's call this. We lost everyone we want would be. We're out ofthe two times G, which is 9.8 meters per second squared times height, two meters. It's chance after we 6.26 major process. Now for the second case, the object needs tto have a velocity off the two year so that it conveys the height ofthe 1.6 meters on Vito is we rode off to Gramsci, which is 9.8 meters per second squared times hide hedge which is 1.6 meters which turns out to be 516 meters per second. But notice that this we want velocity is downwards on we do is offered now if you choose out of axis positively access to be in the or for direction and we want to find a copy, the changing more and um, we know that p f minus b i d final minus commission. Well, don't be the final moment. That would be mass 40 grams which is 40 times stamp. Our ministry multiplied by the velocity 5.6. Now that it is positive because the ball is moving upwards minus the initial wound that would be mass which is 40 times to our ministry multiplied by the velocity minus 6.26 because they were lost. These downwards which gives us party into a tent ministry multiplied by 516 plus 6.26 This turns out to be zero point 474 kids you meet for a second. This is the impulse because we know we know that impulse is simply a change in the moment. Ofour baby, you know that force. It's simply impulse divided by time because forces Tilda people will die. Hence impulses 01474 kilogram meter per second. You added by were given that the time period off the collision is two milliseconds, which is two times to impart Maya's three seconds, which stands out to be 237 unions, bees, our answers.

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