Problem

(III) Air in a 120-km/h wind strikes head-on the …

04:56

Problem 12 Medium Difficulty

(III) A 0.145-kg baseball pitched horizontally at 27.0 m/s strikes a bat and pops straight up to a height of 31.5 m. If the contact time between bat and ball is 2.5 ms, calculate the average force between the ball and bat during contact.

Answer

$2100 \mathrm{N}$
$43^{\circ}$

Related Courses

Physics 101 Mechanics

Physics

Chapter 7

LINEAR MOMENTUM

Section 1

Momentum and Its Relation to Force

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Ha S.

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Two balls are thrown off a building with the same speed, one straight up and one at a 45? angle. Which statement is true if air resistance can be ignored?

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Two balls are thrown off a building with the same speed, one straight up and one at a 45? angle. Which statement is true if air resistance can be ignored?

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Video Transcript

in this question. We have a baseball which present early and zero plan once were flagged telegram. It's pitched in a twenty seven meters per second in its tracks. A bat is an after collision to go. It changes the direction and goes up is in it. Go straight up to a height of thirty one twenty five meters and we know that's a contact on is two point five. Listen, Comte and we're trying to find the average force between the ball and that. So from this, you can see that's a formula we should be using is just Newton's second law. It's f I'm still too t he close the change of momentum, which is just a change of curiosity because, okay and Miss Constant again, we know it's audacity for trying to find out the order to no end. Would, we need to know is what is a change of velocity for the baseball. So there are a lot of sense me to convert, So at first we have it's going horizontally, so we only have this harmless and velocity. But afterwards it goes straight up, so we only have this vertical velocity exigencies. There is a change of direction here hand. So the change off herbs and velocity iss active in centimeters per second because it doesn't have any horizontal components. Actors collision. But we need to know what the vertical velocities. So now we need to go back to our very first cinematic problems. We have initial velocity is going up and weighs the gravitational acceleration. Acting downward, it moves a total of thirty one point Peter has just fuses. They're not oysters off this, but let's just his conservation of energy for now. So right after the strike, psychokinetic energy is half of em. You like school in when it's at its very top. And when's that spirit hob? It has snow kinetic energy, but it has a potential energy off in chief h. So from that we can cancel and and we get be white. He costs squared th in such cases two tons nine point eight neither priss seconds currents. That's repetition. Accent away. She times the total height thirty one point five meter inside of the toil of twenty four point eight five liter per second, so pretty much after it hits a bad and acquires a vertical velocity of twenty four point eight five. So I'm saying we have deer to B. Y is twenty four point eight five six. So just great. No. With these numbers we can find FX is in the art of the X Over Deputy and that is, is there a point? One for five children times seven meters per second over Mino Certain is airport. It's make sure use sa units that is in suspected. It's selective of team sixty six years and f y I dare to be y time sterility with plucking. The same number is fourteen forty one. So, yeah, now here, inactive. Just because I defines this, too is a positive direction. So that means the forces acting insist way in. So why don't you guess his forces acting rounds of particular direction? Not maybe not completely perpendicular, but it's roughly acting in destruction. And yes, that's the two components of force on DH. Let's try to find the divorce. So that's the catch. Isn't a pajama tree of its equal to FX cripples and four square is that's great root inside gives us around. This is toward twenty eight u turn and again just to kid, make sure you have the same amount of significant digits. We have about twenty one hundred. That is the toile force. And if you're not satisfied, we can trying to find this angle. So now we have the f x Finn and F Y I we can try in tournament. Yeah, I've been trying to find saying this anger, his cords, Sita, that is and go from Rozental. And we have attention. Seater equals. And why over FX? Absolutely, I do. So that is one over fifteen sixty six. So ever have a calculator and you just do see that the course, our attention to this number, you will get Sita around forty two point six degree or forty three degree. So that's the magnitude and the direction off the force we're looking for.

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